Journal articles: 'Nonlinear dynamic state feedback controller (NDSFC)'

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Wen, JianHua, ChangMao Qin, and Xin Zhang. "ADRC Attitude Controller Design for Hypersonic Vehicle based on MIMO-ESO." MATEC Web of Conferences 214 (2018): 03003. http://dx.doi.org/10.1051/matecconf/201821403003.

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For the hypersonic vehicle nonlinear attitude mode in reentry process with a strong coupling, aerodynamic parameter perturbations and non-deterministic, combine extended state observer and nonlinear law state error feedback, design the hypersonic vehicle MIMO-ESO ADRC attitude controller. Put interference such as uncertainty, coupling and parameter perturbations as “the sum of interference” ,use the extended state observer to estimate and dynamic feedback compensation, use nonlinear law state error feedback to inhibit residual of compensation. ADRC controller is charged without a precise model of vehicle , and without precise perturbation boundaries of aerodynamic parameters.Simulation results show that the MIMO-ESO ADRC attitude controller can overcome the impact of large-scale perturbations of interference and aerodynamic parameters, have good dynamic qualities and tracking capabilities, also have strong robustness.

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Gao, Peng, Guangming Zhang, Huimin Ouyang, and Lei Mei. "A Sliding Mode Control with Nonlinear Fractional Order PID Sliding Surface for the Speed Operation of Surface-Mounted PMSM Drives Based on an Extended State Observer." Mathematical Problems in Engineering 2019 (September 18, 2019): 1–13. http://dx.doi.org/10.1155/2019/7130232.

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A novel sliding mode controller (SMC) with nonlinear fractional order PID sliding surface based on a novel extended state observer for the speed operation of a surface-mounted permanent magnet synchronous motor (SPMSM) is proposed in this paper. First, a new smooth and derivable nonlinear function with improved continuity and derivative is designed to replace the traditional nonderivable nonlinear function of the nonlinear state error feedback control law. Then, a nonlinear fractional order PID sliding mode controller is proposed on the basis of the fractional order PID sliding surface with the combination of the novel nonlinear state error feedback control law to improve dynamic performance, static performance, and robustness of the system. Furthermore, a novel extended state observer is designed based on the new nonlinear function to achieve dynamic feedback compensation for external disturbances. Stability of the system is proved based on the Lyapunov stability theorem. The corresponding comparative simulation results demonstrate that the proposed composite control algorithm displays good stability, dynamic properties, and strong robustness against external disturbances.

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Song, Ki-Young, Mahtab Behzadfar, and Wen-Jun Zhang. "A Dynamic Pole Motion Approach for Control of Nonlinear Hybrid Soft Legs: A Preliminary Study." Machines 10, no. 10 (September 28, 2022): 875. http://dx.doi.org/10.3390/machines10100875.

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Hybrid soft leg systems have been studied for advanced gaits of soft robots. However, it is challenging to analyze and control hybrid soft legs due to their nonlinearity. In this study, we adopted dynamic pole motion (DPM) to analyze stability of a nonlinear hybrid soft leg system with dynamic Routh’s stability criterion and to design a proper controller for the nonlinear system with an error-based adaptive controller (E-BAC). A typical hybrid soft leg system was taken as an example, as such a system can easily become unstable and needs a controller to get the system back to a stable state. Specifically, E-BAC was designed to control the unstable hybrid soft leg fast with a minimal overshoot. As a nonlinear controller, the implanted E-BAC in a feedback control system includes two dominant dynamic parameters: the dynamic position feedback and the dynamic velocity feedback . These parameters were properly selected, and the feedback was continuously varying as a function of system error , exhibiting an adaptive control behavior. The simulation shows that this approach for constructing an adaptive controller can yield a very fast response with no overshoot.

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Soltanian, Farzad, Amir Parviz Valadbeigi, Jafar Tavoosi, Rahmat Aazami, Mokhtar Shasadeghi, Mohammadamin Shirkhani, and Amirreza Azizi. "Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems." Complexity 2024 (April 25, 2024): 1–22. http://dx.doi.org/10.1155/2024/7126978.

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This study utilizes the Takagi–Sugeno fuzzy model to represent a subset of nonlinear systems and presents an innovative adaptive approach for optimal dynamic terminal sliding mode control (TSMC). The systems under consideration encompass bounded uncertainties in parameters and actuators, as well as susceptibility to external disturbances. Performance evaluation entails the design of an adaptive terminal sliding surface through a two-step process. Initially, a state feedback gain and controller are developed using Linear Matrix Inequality (LMI) techniques, grounded on H2-performance and partial eigenstructure assignment. Dynamic sliding gain is subsequently attained via convex optimization, leveraging the derived state feedback gain and the designed terminal sliding mode (TSM) controller. This approach diverges from conventional methods by incorporating control effort and estimating actuator uncertainty bounds, while also addressing sliding surface and TSM controller design intricacies. The TSM controller is redefined into a strict feedback form, rendering it suitable for addressing output-tracking challenges in nonlinear systems. Comparative simulations validate the effectiveness of the proposed TSM controller, emphasizing its practical applicability.

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Chen, Nai Chao, Ping He, and Xia Yu. "Application of the LMI Approach in the Robust Force Control of Servo-Hydraulic Actuator with Parametric Uncertainties." Applied Mechanics and Materials 29-32 (August 2010): 240–45. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.240.

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Linear matrix inequalities (LMI) method is proposed to design the robust controller for the servo-hydraulic actuator with parametric uncertainties. The pretreatments are adopted to convert the nonlinear dynamic models into linear state equations using the linear fractional transformation (LFT) approach, which facilitates conveniently utilizing the LMI method to calculate the state feedback controller. The supervising parameters, including the system output and special derivative output generated from the uncertain items, are proposed to model a state matrix equation for representing the dynamic system with the parameter variations and disturbances. LMI control base on the H∞ control schematic is finally employed to carry out the state feedback controller for the servo-hydraulic actuator with parametric uncertainties. The results demonstrate the efficiency of dynamical performance with small settling time and overshoot compared with the quantitative feedback theory (QFT) approach.

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Herrera-Granda, Erick P., Leandro L. Lorente-Leyva, Jenny Yambay, Jesús Aranguren, Marcelo Ibarra, and Julio Peña. "Controller Modeling of a Quadrotor." Ingénierie des systèmes d information 27, no. 1 (February 28, 2022): 21–28. http://dx.doi.org/10.18280/isi.270103.

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Dynamic modeling and control are research fields that hake kept the attention of researchers over the last decades. In this paper we describe a detailed approach to model, design and simulate a feedback controller for a quadrotor with the aim of giving the reader a detailed procedure to obtain the dynamic model and link this model with a controller design strategy. For this purpose, the dynamic model of the Parrot AR. Drone 2.0 was obtained using the Newton-Euler formulations. Next, the model was converted to the state space, and it was linearized to get the equations to perform a controller gain estimation process. Finally, the performance of state feedback controller visualized for both the linear and nonlinear models. Results shown that, the challenging goal of stabilizing the quadrotor at a desired trajectory, in short time without overshoot problems, can be achieved by means of a simple control strategy.

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Samadi Khoshkho, Mohammadamin, Zahra Samadikhoshkho, and Michael G. Lipsett. "Distilled neural state-dependent Riccati equation feedback controller for dynamic control of a cable-driven continuum robot." International Journal of Advanced Robotic Systems 20, no. 3 (May 1, 2023): 172988062311747. http://dx.doi.org/10.1177/17298806231174737.

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This article presents a novel learning-based optimal control approach for dynamic control of continuum robots. Working and interacting with a confined and unstructured environment, nonlinear coupling, and dynamic uncertainty are only some of the difficulties that make developing and implementing a continuum robot controller challenging. Due to the complexity of the control design process, a number of researchers have used simplified kinematics in the controller design. The nonlinear optimal control technique presented here is based on the state-dependent Riccati equation and developed with consideration of the dynamics of the continuum robot. To address the high computational demand of the state-dependent Riccati equation controller, the distilled neural technique is adopted to facilitate the real-time controller implementation. The efficiency of the control scheme with different neural networks is demonstrated using simulation results.

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Horowitz, Roberto, and Masayoshi Tomizuka. "An Adaptive Control Scheme for Mechanical Manipulators—Compensation of Nonlinearity and Decoupling Control." Journal of Dynamic Systems, Measurement, and Control 108, no. 2 (June 1, 1986): 127–35. http://dx.doi.org/10.1115/1.3143754.

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This paper presents a new adaptive control scheme for mechanical manipulators. Making use of the fundamental properties of the manipulator equations, an adaptive algorithm is developed for compensating a nonlinear term in the dynamic equations and for decoupling the dynamic interaction among the joints. A computer simulation study is conducted to evaluate the performance of a manipulator control system composed of the manipulator, adaptive nonlinear compensator/decoupling controller and state feedback controller with integral action. Simulation results show that the manipulator control system with adaptive controller is insensitive to variations of manipulator configurations and payload.

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Chen, Jie, Yan Lin, and Chang Peng Pan. "Hypersonic Aircraft Nonlinear Fault-Tolerant Controller Design." Applied Mechanics and Materials 494-495 (February 2014): 1056–59. http://dx.doi.org/10.4028/www.scientific.net/amm.494-495.1056.

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One hypersonic aircraft nonlinear observer and controller are designed synthetically to solve the part of actuator failure problem. The research model is developed based on a SISO output feedback nonlinear unobservered minimum phase system. filter is adopted to reconstruct state vectors, adaptive control law is designed to guarantee the system boundedness. Dynamic surface control is employed strategy to eliminate the explosion of terms by introducing a series of first order filters to obtain the differentiation of the virtual control inputs. Both theory analysis and simulation verification show the simpleness and effective of this method.

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Jiang, Meng-Meng, and Xue-Jun Xie. "Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties." Mathematical Problems in Engineering 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/5702182.

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Under the weaker assumption on nonlinear functions, the adaptive finite-time stabilization of more general high-order nonlinear systems with dynamic and parametric uncertainties is solved in this paper. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterize the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, backstepping, and finite-time input-to-state stability approaches, an adaptive state feedback controller is designed to guarantee high-order nonlinear systems are globally finite-time stable.

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Wu, Hao, Ze Biao Shan, and Yao Wu Shi. "State Feedback Controller Design for CSTR Based on Kalman Filter." Applied Mechanics and Materials 404 (September 2013): 657–62. http://dx.doi.org/10.4028/www.scientific.net/amm.404.657.

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Due to operating conditions and economic factors, it may be either practical or feasible to measuring the chemical species directly in the continuous stirred tank reactor (CSTR) system which is a typical nonlinear, multi-variables, time-varying system. So, a concentration estimate strategy of components based on Kalman filter is proposed, with which the measurement of temperature conversion can be reconstructed. Then the state feedback controller is designed based on the estimated strategy. Simulation results show that the proposed control scheme is efficient and the system contains good dynamic performance.

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Kang, Wei, and Arthur J. Krener. "Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems." SIAM Journal on Control and Optimization 30, no. 6 (November 1992): 1319–37. http://dx.doi.org/10.1137/0330070.

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Zhou, Di, Tielong Shen, and Katsutoshi Tamura. "Adaptive Nonlinear Synchronization Control of Twin-Gyro Precession." Journal of Dynamic Systems, Measurement, and Control 128, no. 3 (September 12, 2005): 592–99. http://dx.doi.org/10.1115/1.2232683.

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The slewing motion of a truss arm driven by a V-gimbaled control-moment gyro is studied. The V-gimbaled control-moment gyro consists of a pair of gyros that must precess synchronously. For open-loop slewing motion control, the controller design problem is simplified into finding a feedback controller to steer the two gyros to synchronously track a specific command. To improve the synchronization performance, the integral of synchronization error is introduced into the design as an additional state variable. Based on the second method of Lyapunov, an adaptive nonlinear feedback controller is designed. For more accurate but complicated closed-loop slewing motion control, the feedback linearization technique is utilized to partially linearize the nonlinear nominal model, where two specific output functions are chosen to satisfy the system tracking and synchronization requirements. The system tracking dynamics are bounded by properly determining system indices and command signals. For the partially linearized system, the backstepping tuning function design approach is employed to design an adaptive nonlinear controller. The dynamic order of the adaptive controller is reduced to its minimum. The performance of the proposed controllers is verified by simulation.

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Bouazza, Kheir Eddine. "Global Stabilization of Nonlinear Networked Control System with System Delays and Packet Dropouts via Dynamic Output Feedback Controller." Mathematical Problems in Engineering 2015 (2015): 1–11. http://dx.doi.org/10.1155/2015/898640.

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The stabilization problem is investigated for a class of nonlinear discrete-time networked control systems (NCSs). Nonideal network Quality of Services (QoS) are considered, more specifically data packet dropouts and network-induced delays. A state feedback controller for a class of NCSs is proposed. Subsequently, an observer is designed to estimate the state space. Based on the Lyapunov-Krasovskii functional, sufficient conditions (expressed in terms of LMIs) for the existence of a dynamic output feedback controller are derived. The stabilization is achieved without mathematical transformations or fuzzy logic approximations and without state space augmentation. Finally, illustrative examples are provided to show the effectiveness of the proposed method.

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Suykens, J. A. K., P. F. Curran, and L. O. Chua. "Master-Slave Synchronization Using Dynamic Output Feedback." International Journal of Bifurcation and Chaos 07, no. 03 (March 1997): 671–79. http://dx.doi.org/10.1142/s0218127497000467.

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A method of linear dynamic output feedback for master-slave synchronization of two identical Lur'e systems is introduced. In this scheme, synchronization is obtained using one or at least fewer measurement signals and control signals than the number of state variables of the Lur'e system. A sufficient condition for global asymptotic stability of the error system is derived from a quadratic Lyapunov function and is expressed as a matrix inequality. The dynamic controller is designed by solving a constrained nonlinear optimization problem. The method is demonstrated on Chua's circuit and a hyperchaotic circuit consisting of 2-double scroll cells.

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Wang, He Hua, Xiao He Liu, Ming Jie Ma, and Cheng Yang. "Feedback Linearization Control of Pmssm Based on Svpwm." Advanced Materials Research 591-593 (November 2012): 1655–58. http://dx.doi.org/10.4028/www.scientific.net/amr.591-593.1655.

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In this paper, according to the AC permanent magnet synchronous servo motor of the laboratory, using appropriate method to deal with servo motor makes its physical model be established. The nonlinear dynamic mathematical model of permanent magnet synchronous servo motor is established on the basis of the physical model. Based on nonlinear dynamic mathematical model of the permanent magnet synchronous servo motor, and through the coordinate transformation and state feedback, the input-output linearization is realized and the system decoupling is achieved. According to the system's linear model, a speed tracking controller is designed. The Simulink model of Svpwm is established. The control algorithm and the model of Svpwm are verified based on theMatlab7.6/Simulink & SimPowerSystems toolbox. The simulation results show that the controller designed has a very good control effect while the feedback linearization design is simple.

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Danapalasingam, Kumeresan A. "Robust Fuzzy Logic Stabilization with Disturbance Elimination." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/171597.

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A robust fuzzy logic controller is proposed for stabilization and disturbance rejection in nonlinear control systems of a particular type. The dynamic feedback controller is designed as a combination of a control law that compensates for nonlinear terms in a control system and a dynamic fuzzy logic controller that addresses unknown model uncertainties and an unmeasured disturbance. Since it is challenging to derive a highly accurate mathematical model, the proposed controller requires only nominal functions of a control system. In this paper, a mathematical derivation is carried out to prove that the controller is able to achieve asymptotic stability by processing state measurements. Robustness here refers to the ability of the controller to asymptotically steer the state vector towards the origin in the presence of model uncertainties and a disturbance input. Simulation results of the robust fuzzy logic controller application in a magnetic levitation system demonstrate the feasibility of the control design.

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Xu, Anan, Fang Wang, and Ming Chen. "Modeling and Robust Tracking Decoupling Control of a Coaxial Unmanned Helicopter Based on the Improved Alternating Direction Method of Multipliers." Computational Intelligence and Neuroscience 2022 (September 26, 2022): 1–12. http://dx.doi.org/10.1155/2022/3647784.

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In this paper, a robust tracking control strategy based on the dynamic feedback linearization method is proposed for the nonlinear and highly coupled dynamic characteristics of coaxial unmanned helicopter. The mathematical model of the coaxial unmanned helicopter is determined by fault analysis. Then the high-order state system is dynamically feedback linearized by extending the state variables, and the dynamic characteristics of the zeros are analyzed according to the expected tracking characteristics of the inner loop. The pole placement of the subsystem realizes robust monitoring of height and position commands by designing robust compensators. On this basis, an outer loop proportional derivative controller is designed for the horizontal positioning subsystem to realize position tracking. Loop tracking simulation ensures the good separation characteristics of feedback linearization method, and trajectory tracking simulation under fault conditions ensures the control ability and durability of the designed controller.

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Zhang, Wei, Ying Bo Cai, and Xue Tong Wei. "Simulation on Active Disturbance Rejection Control." Applied Mechanics and Materials 391 (September 2013): 420–23. http://dx.doi.org/10.4028/www.scientific.net/amm.391.420.

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A highly robust active disturbance rejection controller (ADRC) is developed in this paper. The proposed ADRC consists of a tracking differentiator (TD) in the feed forward path, an extended state observer (ESO), and a nonlinear state error feedback control law (NLSEF) in the feedback path. The control theory, the structure of ADRC and the controller design are presented. LabVIEW is used for modeling, simulation and analysis of the dynamic system. Simulation results show that the proposed ADRC has excellent control performance, especially outstanding adaptability and robustness external disturbances and model uncertainties.

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Li, Yankai, Yulong Huang, Han Liu, and Dongping Li. "Full State Constrained Flight Tracking Control for Helicopter Systems with Disturbances." Aerospace 10, no. 5 (May 17, 2023): 471. http://dx.doi.org/10.3390/aerospace10050471.

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In this paper, a full state-constrained anti-disturbance dynamic surface control method is proposed for six-degree-of-freedom unmanned helicopter systems under full state constraints and disturbances. Firstly, due to the underactuated characteristics of six-degree-of-freedom unmanned helicopter systems, an input–output feedback linearization method is used to transform the complex nonlinear systems into facilitated-control nonlinear ones. Based on the transformed systems, the nonlinear disturbance-observer-based control, backstepping control and Barrier Lyapunov function methods are used to construct the flight controller via uniting the state constraint control and dynamic surface control technologies. Then, Lyapunov stability theory is adopted for analysing the closed-loop tracking error systems, which confirms that the tracking errors are bounded under the proposed flight control scheme. Finally, a simulation in the MATLAB/Simulink environment verifies that the unmanned helicopter system can constrain all states under the action of the designed controller, with good dynamic performance.

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Debbache, Ghania, Abdelhak Bennia, and Noureddine Goléa. "Neural Networks-based Adaptive State Feedback Control of Robot Manipulators." International Journal of Computers Communications & Control 2, no. 4 (December 1, 2007): 328. http://dx.doi.org/10.15837/ijccc.2007.4.2364.

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This paper proposes an adaptive control suitable for motion control of robot manipulators with structured and unstructured uncertainties. In order to design an adaptive robust controller, with the ability to compensate these uncertainties, we use neural networks (NN) that have the capability to approximate any nonlinear function over a compact space. In the proposed control scheme, we need not derive the linear formulation of robot dynamic equation and tune the parameters. To reduce the NNs complexity, we consider the properties of robot dynamics and the decomposition of the uncertainties terms. The proposed controller is robust against uncertainties and external disturbance. The validity of the control scheme is demonstrated by computer simulations on a two-link robot manipulator.

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Li, Hongyi, Xingjian Sun, H. R. Karimi, and Ben Niu. "Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/767093.

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This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systems with nonuniform uncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedback controller is designed such that the closed-loop system is very-strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

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Xi, Xiaoye, Tingzhang Liu, Jianfei Zhao, and Limin Yan. "Output feedback fault-tolerant control for a class of nonlinear systems via dynamic gain and neural network." Neural Computing and Applications 32, no. 10 (November 6, 2019): 5517–30. http://dx.doi.org/10.1007/s00521-019-04583-1.

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Abstract In this paper, by combining the dynamic gain and the self-adaptive neural network, an output feedback fault-tolerant control method was proposed for a class of nonlinear uncertain systems with actuator faults. First, the dynamic gain was introduced and the coordinate transformation of the state variables of the system was performed to design the corresponding state observers. Then, the observer-based output feedback controller was designed through the back-stepping method. The output feedback control method based on the dynamic gain can solve the adaptive fault-tolerant control problem when there are simple nonlinear functions with uncertain parameters in the system. For the more complex uncertain nonlinear functions in the system, in this paper, a single hidden layer neural network was used for compensation and the fault-tolerant control was realized by combining the dynamic gain. Finally, the height and posture control system of the unmanned aerial vehicle with actuator faults was taken as an example to verify the effectiveness of the proposed method.

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Wang, Zuoxun, Jinhao Pan, Lei Ma, and Guijuan Wang. "The Design of an Anti-Synchronization Control Algorithm for a 4D Laser System." Symmetry 14, no. 4 (March 31, 2022): 710. http://dx.doi.org/10.3390/sym14040710.

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When studying the control problems of nonlinear systems, there are always uncertainties and disturbances. The existence of this phenomenon will increase the error in production engineering and reduce work efficiency. In order to reduce the nonlinear asymmetric control, the control method of a laser hyperchaotic system is designed in this paper. The system is a complex number system, with remarkable nonlinear characteristics. The system is divided into two parts by calculating the state transformation matrix, which shows that the system can realize simultaneous synchronization and anti-synchronization. Firstly, in the ideal case, the stabilization, synchronization, and anti-synchronization of the system are studied by using the dynamic gain feedback method, and a dynamic feedback controller is designed. Secondly, in the case of uncertainty and disturbance, a dynamic feedback control strategy based on uncertainty and disturbance estimator (UDE) is proposed. With the aim to solve the control problem of the system, the corresponding controller is designed to modify the system. Finally, through simulation and comparison, it is verified that the effect of this method is remarkable.

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Guo, Longchuan, Chuanping Zhou, Xiaoqing Tian, Huawei Ji, and Yudong Peng. "Design of Constructive Controller of Nonlinear System Based on Polynomial Function Growth Condition and Its Application in Deep Subsea Energy Mining and Production Control System." Advances in Civil Engineering 2021 (October 7, 2021): 1–9. http://dx.doi.org/10.1155/2021/4788428.

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This paper mainly studies the output feedback control problem of the stochastic nonlinear system based on loose growth conditions and applies the research results to the valve control system of underwater oil and gas pipelines, which can improve the speed and stability of the equipment system. First, the concept of randomness is introduced to study the actual tracking control problem of output feedback of stochastic nonlinear systems, remove the original harsher growth conditions, make it meet the more general polynomial function growth conditions, and propose a combination of static and dynamic output feedback practices. The design of the tracking controller makes all the states of the system meet boundedness and ensures that the tracking error of the system converges to a small neighborhood of zero. Second, the system is extended to the parameter-uncertain system, and the output feedback tracking controller with complete dynamic gain is constructed by proving the boundedness of the system state and gain. Further, the time-delay factor is introduced, and the nonlinear term of the system satisfies the more relaxed power growth condition, combined with the inverse method to cleverly construct a set of Lyapunov functions and obtain the output controller to ensure that the system is asymptotically probabilistic in the global scope. Stability. Finally, through the ocean library in the Simulation X simulation software, the controller design results are imported into the underwater electro-hydraulic actuator model to verify the effectiveness of the controller design.

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Thanh Ha, Vo, Nguyen Tung Lam, Pham Van Tuan, and Nguyen Hong Quang. "Experiment-based Comparative Analysis of Nonlinear Speed Control Methods for Induction Motors." Journal of Engineering and Technological Sciences 53, no. 2 (April 30, 2021): 210212. http://dx.doi.org/10.5614/j.eng.technol.sci.2021.53.2.12.

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Field-oriented control (FOC) for induction motors is widely used in industrial applications. By using a fast and accurate torque controller based on a stator current controller it is possible to flexibly implement advanced speed control methods to achieve proper performance both in transient and steady-state states. In this study, a deadbeat controller was used for the current loop. The nonlinear methods used for the outer loop controller were backstepping, flatness-based control, and exact feedback linearization with state derivative. The dynamic responses of these three controls were compared through various experimental results. The advantages and disadvantages of the different control structures were analyzed and evaluated in detail. Based on this evaluation, an appropriate scheme can be specified when deployed in practice.

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Elkinany, Boutaina, Mohammed Alfidi, Redouane Chaibi, and Zakaria Chalh. "T-S Fuzzy System Controller for Stabilizing the Double Inverted Pendulum." Advances in Fuzzy Systems 2020 (December 5, 2020): 1–9. http://dx.doi.org/10.1155/2020/8835511.

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This article provides a representation of the double inverted pendulum system that is shaped and regulated in response to torque application at the top rather than the bottom of the pendulum, given that most researchers have controlled the double inverted pendulum based on the lower part or the base. To achieve this objective, we designed a dynamic Lagrangian conceptualization of the double inverted pendulum and a state feedback representation based on the simple convex polytypic transformation. Finally, we used the fuzzy state feedback approach to linearize the mathematical nonlinear model and to develop a fuzzy controller H ∞ , given its great ability to simplify nonlinear systems in order to reduce the error rate and to increase precision. In our virtual conceptualization of the inverted pendulum, we used MATLAB software to simulate the movement of the system before applying a command on the upper part of the system to check its stability. Concerning the nonlinearities of the system, we have found a state feedback fuzzy control approach. Overall, the simulation results have shown that the fuzzy state feedback model is very efficient and flexible as it can be modified in different positions.

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Mhmood, Ali H., and Hazem I. Ali. "Optimal H-infinity Integral Dynamic State Feedback Model Reference Controller Design for Nonlinear Systems." Arabian Journal for Science and Engineering 46, no. 10 (March 6, 2021): 10171–84. http://dx.doi.org/10.1007/s13369-021-05447-4.

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Berisha, G. Kassahun, and Parvendra Kumar. "F-16/MATV; Optimal Position Controller Design using Robust and Discrete Linear Quadrature Gaussian [RLQG] Controller." Science & Technology Journal 8, no. 1 (January 1, 2020): 70–77. http://dx.doi.org/10.22232/stj.2020.08.01.09.

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This paper presents the robust controller design for nonlinear F-16/MATV (Multi–Axis – Thrust - Vectoring) position control system. The linearization of nonlinear flight position system is guaranteed by feedback linearization using Taylor series expansion and the optimal LQG controllers are designed to achieve the steady state flight condition. The comparison of the using continuous and discrete LQG is fully discussed for control system. First the continuous optimal LQG controller is designed for continuous time state space represented flight dynamic system based on separation principle. But the designed optimal LQG controller requires a very large controller gain to achieve the design objective, which lacks high sensitivity and leads to highly cost system. This leads to design a controller using discrete LQG controller for discrete time state space represented flight control system. After implementing this controller into the system in MATLAB Simulink environment, using singular value decomposition technique, it is founded that the performance and robustness of the design objective is satisfied.

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Yang, Longyue, Chunchun Feng, and Jianhua Liu. "Control Design of LCL Type Grid-Connected Inverter Based on State Feedback Linearization." Electronics 8, no. 8 (August 7, 2019): 877. http://dx.doi.org/10.3390/electronics8080877.

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Control strategy is the key technology of power electronic converter equipment. In order to solve the problem of controller design, a general design method is presented in this paper, which is more convenient to use computer machine learning and provides design rules for high-order power electronic system. With the higher order system Lie derivative, the nonlinear system is mapped to a controllable standard type, and then classical linear system control method is adopted to design the controller. The simulation and experimental results show that the two controllers have good steady-state control performance and dynamic response performance.

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Zhang, Yu Hui, Chang Bing Han, and Tian Yun Li. "Sliding Mode Variable Structure for Generator Excitation Control Based on the ESO." Applied Mechanics and Materials 143-144 (December 2011): 108–13. http://dx.doi.org/10.4028/www.scientific.net/amm.143-144.108.

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In this paper, a new ESO sliding mode controller that can improve the system stability was designed ,as to the strong nonlinear of generator excitation system and the characteristics of vulnerable to external disturbance, which application of feedback linearization, ESO and sliding model variable structure control theory. Firstly, it realized to linearization for nonlinear mould based on the feedback linearization theory, then it provide dynamic compensation for generator excitation system through constructing extended state observation device (ESO). The methods of factorial is used to design sliding mode switch function, theoretically, it guarantee generator rotor equation with expectations of poles. In order to reduce chattering ,through index near rate and quasi sliding mode control dynamic method to get the sliding control rate, it make the form conciseness, The results of simulation show that the speed , accuracy and stability of system are significantly improved by controller in dynamic and static . Introduction

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Guo, Chao, and Kemei Zhang. "Disturbance Attenuation via Output Feedback for Nonlinear Time-Delay Systems with Input Matching Uncertainty." Mathematical Problems in Engineering 2018 (July 5, 2018): 1–8. http://dx.doi.org/10.1155/2018/2870496.

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This paper studies the problem of output feedback disturbance attenuation for a class of uncertain nonlinear systems with input matching uncertainty and unknown multiple time-varying delays, whose nonlinearities are bounded by unmeasured states multiplying unknown polynomial-of-output growth rate. By skillfully combining extended state observer, dynamic gain technique, and Lyapunov-Krasovskii theorem, a delay-independent output feedback controller can be developed with only one dynamic gain to guarantee the boundedness of closed-loop system states and the achievement of global disturbance attenuation in the L2-gain sense.

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Wang, Changhui, Wencheng Li, and Mei Liang. "Event-Triggered Adaptive Fuzzy Control for Strict-Feedback Nonlinear FOSs Subjected to Finite-Time Full-State Constraints." Fractal and Fractional 8, no. 3 (March 12, 2024): 160. http://dx.doi.org/10.3390/fractalfract8030160.

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In this article, an event-triggered adaptive fuzzy finite-time dynamic surface control (DSC) is presented for a class of strict-feedback nonlinear fractional-order systems (FOSs) with full-state constraints. The fuzzy logic systems (FLSs) are employed to approximate uncertain nonlinear functions in the backstepping process, the dynamic surface method is applied to overcome the inherent computational complexity from the virtual controller and its fractional-order derivative, and the barrier Lyapunov function (BLF) is used to handle the full-state constraints. By introducing the finite-time stability criteria from fractional-order Lyapunov method, it is verified that the tracking error converges to a small neighborhood near the zero and the full-state constraints are satisfied within a predetermined finite time. Moreover, reducing the communication burden can be guaranteed without the occurrence of Zeno behavior, and the example is given to demonstrate the effectiveness of the proposed controller.

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Xu, Xingzhi, Yakui Gao, and Weiguo Zhang. "Aeroelastic Dynamic Response and Control of an Aeroelastic System with Hysteresis Nonlinearities." Journal of Control Science and Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/258315.

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A state feedback control law based on the sliding mode control method is derived for the aeroelastic response and flutter suppression of a two-dimensional airfoil section with hysteresis nonlinearity in pitch. An observer is constructed to estimate the unavailable state variables of the system. With the control law designed, nonlinear effect of time delay between the control input and actuator is investigated by a numerical approach. The closed-loop system including the observer and nonlinear controller is asymptotically stable. The simulation results show that the observer can give precise estimations for the plunge displacement and the velocities in pitch and plunge and that the controller is effective for flutter suppression. The time delay between the control input and actuator may jeopardize the control performance and cause high-frequency vibrations.

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Sun, Yueping, Li Ma, Dean Zhao, and Shihong Ding. "A Compound Controller Design for a Buck Converter." Energies 11, no. 9 (September 6, 2018): 2354. http://dx.doi.org/10.3390/en11092354.

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In order to improve the performance of the closed-loop Buck converter control system, a compound control scheme based on nonlinear disturbance observer (DO) and nonsingular terminal sliding mode (TSM) was developed to control the Buck converter. The control design includes two steps. First of all, without considering the dynamic and steady-state performances, a baseline terminal sliding mode controller was designed based on the average model of the Buck converter, such that the desired value of output voltage could be tracked. Secondly, a nonlinear DO was designed, which yields an estimated value as the feedforward term to compensate the lumped disturbance. The compound controller was composed of the terminal sliding mode controller as the state feedback and the estimated value as the feedforward term. Simulation analysis and experimental verifications showed that compared with the traditional proportional integral derivative (PID) and terminal sliding mode state feedback control, the proposed compound control method can provide faster convergence performance and higher voltage output quality for the closed-loop system of the Buck converter.

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Chen, Chao, and Jun Zhao. "A nonlinear switching control strategy of regulation and safety protection for aero-engines based on the equilibrium manifold expansion model." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 232, no. 4 (June 8, 2017): 355–68. http://dx.doi.org/10.1177/0959651817709407.

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This article proposes a nonlinear switching control strategy to solve the regulation control problem with safety constraint for aero-engines based on the equilibrium manifold expansion model. That is a kind of nonlinear model with satisfactory accuracy. The design procedure includes design of sub-controllers such as the nonlinear high-pressure spool speed tracking controller, high pressure turbine outlet temperature safety protection controller and the nonlinear dynamic feedback recovery controller. Also, switching law and dynamic controller state reset law are properly designed. Under the proposed strategy, system trajectory starting from temperature safety boundary will never return to the safety boundary. The designed reset law ensures a smooth switching from protection mode to recovery mode. Switch-off moment of the protection controller can be arbitrarily selected according to the tracking performance requirement. Freedom degree of selection is enlarged. The sub-controllers corresponding to objectives of regulation and safety protection are designed separately with more freedom degree and less conservatism. The effectiveness and the robustness of the proposed strategy are verified through a case study for a two-spool turbofan engine.

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Jebelli, Ali, Alireza Najafiyanfar, Arezoo Mahabadi, and Mustapha C. E. Yagoub. "Fault tolerance of a quadrotor via feedback linearization approach." IAES International Journal of Robotics and Automation (IJRA) 12, no. 3 (September 1, 2023): 228. http://dx.doi.org/10.11591/ijra.v12i3.pp228-239.

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A control algorithm is proposed to efficiently control the state, position, and height of a nonlinear dynamic model of a quadcopter. Based on feedback linearization, a state space model is presented for the system with the controller with a two-loop control structure designed and implemented in it. The inner and faster controller is responsible for adjusting the quadcopter height and angles, and the outer and slower controller is responsible for changing the desired figures of roll and pitch angles to control the system position. Whenever a rotor of the quadcopter rotor fails, the status and position of the system are converged and the system is stabilized. Simulation results based on different scenarios indicate the proper performance of the control system whenever there are external disturbances. Note that the gyroscopic effects because of<em> </em>the propeller rotation were not considered.

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Guo, Chengjun, Wei Xie, and Ning Pei. "Ballbeam System Analysis and Design Based on Root Locus Correction and State Space Correction." Wireless Communications and Mobile Computing 2022 (March 4, 2022): 1–11. http://dx.doi.org/10.1155/2022/2963465.

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The ballbeam control system is one of the most perfect and classic experimental equipment for the research and analysis of automatic control theory. Other nonlinear and unstable systems have important dynamic performance, but because the ball bar system is nonlinear and unstable, it is necessary to design a controller to correct it. In this paper, the root locus and the state space theory are used for correction. In the root locus correction, the curve of the root locus is changed by adding open-loop zeros and poles to make the system stable; in the state space, a state feedback observer is designed by using the principle of pole assignment, and the state feedback matrix K is obtained to make the system stable. Using the visual tool Simulink in MATLAB to simulate, we can see the specific control effect of the controller intuitively. The real-time control was carried out on gbb2004, and the results were observed.

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Ali, Hazem I., and Azhar J. Abdulridha. "State Feedback Sliding Mode Controller Design for Human Swing Leg System." Al-Nahrain Journal for Engineering Sciences 21, no. 1 (February 10, 2018): 51. http://dx.doi.org/10.29194/njes21010051.

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In this paper, the robustness properties of sliding mode control (SMC) which is designed to produce a dynamic output feedback controller to achieve robustness for trajectory tracking of the nonlinear human swing leg system is presented. The human swing leg represents the support of human leg or the humanoid robot leg which is usually modeled as a double pendulum. The thigh and shank of a human leg will respect the pendulum links, hip and knee will connect the upper body to thigh and then shank respectively. The total moments required to move the muscles of thigh and shank are denoted by two external (servomotors) torques applied at the hip and knee joints. The mathematical model of the system is developed. The results show that the proposed controller can robustly stabilize the system and achieve a desirable time response specification.

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Liang, Xin Rong, Xiao Yan Wu, and Jian Ye Li. "An Iterative Learning Approach for Freeway Traffic Density Control." Advanced Materials Research 317-319 (August 2011): 1394–97. http://dx.doi.org/10.4028/www.scientific.net/amr.317-319.1394.

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In this work, we apply iterative learning method to address the traffic density control problem in a macroscopic level freeway environment with ramp metering. The second-order traffic flow model is firstly formulated. Then traffic density is selected as the control variable in place of traffic occupancy. Based on the traffic flow model and in conjunction with nonlinear feedback theory, an iterative learning based traffic density controller is designed. Finally, the iterative learning based feedback controller is simulated in Matlab software. Simulation results show that this method has good dynamic and steady-state performance, and can achieve an almost perfect tracking performance.

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Alkurawy, Lafta E. J., Adham H. Saleh, and Ibraheem S. Fatah. "ROBUST AND FEEDFORWARD CONTROL FOR A NONLINEAR PNEUMATIC SERVOMECHANISM SYSTEM." Journal of Southwest Jiaotong University 56, no. 5 (October 30, 2021): 362–69. http://dx.doi.org/10.35741/issn.0258-2724.56.5.31.

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The actuator of the vane servo unit epitomizes the control operator of force in systems of missile control, where the character of its dynamic and static plays a significant role in the missile behavior. Therefore, improving the dynamic behavior for the vane servo actuator is of main interest for designing control and guidance system. The article describes a new method of analyzing the mathematical model of the nonlinear pneumatic servo with different design parameters and designing a controller with these parameters. The robust control regulates the system with different parameters, and it is the first controller to attempt this technique. A servo actuator of nonlinear and linear simulators was constructed by MATLAB software package. Feedback controllers with PI and PID were designed and tested theoretically. The setting time and the behavior of the dynamic will be improved. The robust feedforward control was applied to the system to improve the stability and zero steady-state error and compare the results with PI and PID controller. Their tests showed that robust control is the best control for stability among the others.

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Zhang, Weicun, Quanmin Zhu, Saleh Mobayen, Hao Yan, Ji Qiu, and Pritesh Narayan. "U-Model and U-Control Methodology for Nonlinear Dynamic Systems." Complexity 2020 (June 30, 2020): 1–13. http://dx.doi.org/10.1155/2020/1050254.

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This study presents the fundamental concepts and technical details of a U-model-based control (U-control for short) system design framework, including U-model realisation from classic model sets, control system design procedures, and simulated showcase examples. Consequently, the framework provides readers with clear understandings and practical skills for further research expansion and applications. In contrast to the classic model-based design and model-free design methodologies, this model-independent design takes two parallel formations: (1) it designs an invariant virtual controller with a specified closed-loop transfer function in a feedback control loop and (2) it determines the real controller output by resolving the inverse of the plant U-model. It should be noted that (1) this U-control provides a universal control system design platform for many existing linear/nonlinear and polynomial/state-space models and (2) it complements many existing design approaches. Simulation studies are used as examples to demonstrate the analytically developed formulations and guideline for potential applications.

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Bouafoura, Mohamed Karim, and Naceur Benhadj Braiek. "Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems." Complexity 2019 (April 2, 2019): 1–14. http://dx.doi.org/10.1155/2019/9596253.

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The aim of this paper is to determine the optimal open loop solution and a nonlinear delay-dependent state feedback suboptimal control for a class of nonlinear polynomial time delay systems. The proposed method uses a hybrid of block pulse functions and Legendre polynomials as an orthogonal base for system’s states and input expansion. Hence, the complex dynamic optimization problem is then reduced, with the help of operational properties of the hybrid basis and Kronecker tensor product lemmas, to a nonlinear programming problem that could be solved with available NLP solvers. A practical nonlinear feedback controller gains are deduced with respect to a least square formalism based on the optimal open loop control results. Simulation results show efficiency of the proposed numerical optimal approach.

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Bi, Xiao Hua, and Dan Peng. "Output Feedback Control for Nonlinear 2-D Discrete Systems with Time-Varying State Delays." Applied Mechanics and Materials 101-102 (September 2011): 713–16. http://dx.doi.org/10.4028/www.scientific.net/amm.101-102.713.

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In this paper, we study stability analysis and stabilization problems for a class of nonlinear two-dimensional (2-D) discrete systems with time-varying state delays, described by local state-space (LSS) Fornasini-Marchesini (FM) second model. The upper and lower bounds of time-varying state delays are positive integers and the nonlinearity satisfies Lipschitz condition. First, a stability criteria is proposed through introducing a new Lyapunov function. Then a dynamic output feedback controller is designed to assure the stability of nonlinear 2-D time-varying systems. Moreover, the output feedback system matrices can be obtained by solving linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness of our results.

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Abougarair, Ahmed Jaber, Mohamed K. I. Aburakhis, and Mohamed M. Edardar. "Adaptive Neural Networks Based Robust Output Feedback Controllers for Nonlinear Systems." International Journal of Robotics and Control Systems 2, no. 1 (January 24, 2022): 37–56. http://dx.doi.org/10.31763/ijrcs.v2i1.523.

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The performance of the nonlinear control system that is subjected to uncertainty, can be enhanced by implementing an adaptive approach by using the robust output-feedback control and the artificial intelligence neural network. This paper seeks to utilize output feedback control for nonlinear system using artificial intelligence employing neural network. The Two Wheel Mobile Robot (TWMR) is treated as a multi-body dynamic system. The nonlinear swing-up problem is handled by designing an adaptive neural network, which is trained using a modified conventional controller called Linear Quadratic Optimal State Estimator with Integral Control (LQOSEIC). In this paper, the nonlinear system TWMR is stabilized utilizing a robust output feedback control called LQOSEIC. This controller allows a linearized model to emulate a model reference for the original nonlinear system. However, it works for a limited range of operations and will fail if the plant characteristics are unknown or uncertain. An adaptive neural network is used to overcome this problem. The adaptive neural controller is trained offline using LQOSEIC to obtain the initial weights of neurons for the network's hidden layers. After finishing the training, the LQOSEIC will be replaced by the adaptive neural controller. The main advantage of a neuro-controller is its ability to update the weights online depending on the error signal. If there are any disturbances or uncertainties that arises within the concerned nonlinear system, the neuro-controller will be able to handle it because of online learning that compensates for the effect of unpredictable conditions. The proposed adaptive neural network improves control performance and ensures the robust stability of the closed-loop control system. Finally, numerical simulations are used to demonstrate the efficacy of the proposed controllers.

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Zhu, De Hong, Rong Xu, Li Hu Lu, and Hai Juan Liu. "Research on Nonlinear Control of AC Active Magnetic Bearings." Advanced Materials Research 562-564 (August 2012): 968–74. http://dx.doi.org/10.4028/www.scientific.net/amr.562-564.968.

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For the five degree-of-freedom (5-DOF) AC active magnetic bearing (AMB), which is a multivariable, nonlinear and strongly coupled system, conventional single-variable controller cannot meet the control requirements. Based on the state space model of 5-DOF AC AMB and direct feedback linearization, the equations of coordinate transform and nonlinear state feedback can be simplified into differentiating output equations, which achieves the input-output linearization of 5-DOF AC AMB system. Then, the system can be decoupled into five independent 2-order linear subsystems and realizes the completely decoupling of 5-DOF. Finally, the internal model control (IMC) method is employed to synthesize the subsystems, in order to avoid the performance deteriorated due to the model error and external disturbance. The results of simulation example demonstrate that this decoupling control strategy can realize not only the dynamic decoupling of 5-DOF AC AMB, but also the good dynamic/static performance and robustness.

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Zhou, Chengbao, and Di Zhou. "Robust dynamic surface sliding mode control for attitude tracking of flexible spacecraft with an extended state observer." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 231, no. 3 (November 13, 2016): 533–47. http://dx.doi.org/10.1177/0954410016640822.

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The nonlinear attitude motion equations of flexible spacecraft described by the Euler angles are expressed in the vector form. Based on dynamic surface control, a new robust dynamic surface sliding mode controller is proposed for the attitude tracking and active vibration suppression of flexible spacecraft in the presence of parameter uncertainty and external disturbances. Then, a novel robust dynamic surface finite time sliding mode controller is proposed with an extended state observer such that the uncertainties can be estimated. Lyapunov stability analyses show that the two controllers can guarantee the asymptotical stability of the attitude control system. The undesirable vibration of flexible spacecraft is also actively suppressed by the modal velocity feedback approach. Finally, simulation results verified the effectiveness of the presented control algorithms.

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Rigatos, G., M. Abbaszadeh, B. Sari, and P. Siano. "Nonlinear Optimal Control for a Gas Compressor Actuated by a Five-Phase Induction Motor." Power Electronics and Drives 8, no. 1 (January 1, 2023): 196–218. http://dx.doi.org/10.2478/pead-2023-0014.

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Abstract The article proposes a nonlinear optimal control method for the dynamic model of a gas centrifugal compressor being actuated by a five-phase induction motor (5-phase IM). To achieve high torque and high power in the functioning of gas compressors, 5-phase IM appear to be advantageous in comparison to three-phase synchronous or asynchronous electric machines. The dynamic model of the integrated compression system, which comprises the gas compressor and the 5-phase IM, is first written in a nonlinear and multivariable state-space form. It is proven that the electrically driven gas-compression system is differentially flat. Next, this system is approximately linearised around a temporary operating point that is recomputed at each sampling interval. The linearisation is based on first-order Taylor series expansion and uses the computation of the Jacobian matrices of the state-space model of the integrated system. For the linearised state-space description of the compressor and 5-phase IM, a stabilising optimal (H-infinity) feedback controller is designed. This controller achieves a solution to the nonlinear optimal control problem of the compressor and 5-phase IM system under model uncertainty and external perturbations. The feedback gains of the controller are computed by solving an algebraic Riccati equation at each iteration of the control method. Lyapunov analysis is used to demonstrate global stability for the control loop. Additionally, the H-infinity Kalman filter is used as a robust state estimator, which allows for implementing sensorless control for the gas compression system.

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Chen, Xiaocen, Yuanwen Cai, Yuan Ren, and Qiang Liu. "Spacecraft vibration suppression based on micro-gimbal moment of magnetically suspended flywheel with dynamic feedback and feedforward decoupling control." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 21 (December 12, 2017): 3881–96. http://dx.doi.org/10.1177/0954406217745339.

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Aimed at solving the prominent issue of spacecraft high-frequency vibration suppression, this paper creatively puts forward a novel method based on the micro-gimbal moment of magnetically suspended flywheel with dynamic feedback and feedforward decoupling control. The dynamic model of the on-orbit magnetically suspended flywheel is established first and the decoupling control law of spacecraft as well as the micro-gimbal steering law of the magnetically suspended flywheel is designed. The disturbance compensator based on dynamic feedback–feedforward current is put forward to cancel the disturbance of spacecraft to the magnetically suspended flywheel. Then the nonlinear on-orbit magnetically suspended flywheel system is converted into a linear system without spacecraft coupling, and the state feedback decoupling controller is used to realize the high-precision micro-gimbal moment control of the magnetically suspended flywheel. The dynamic compensation filter is further developed to reduce the influence of unmodeled dynamics on decoupling performances, improving the rate of convergence of vibration suppression. The above three components constitute together the dynamic feedback and feedforward decoupling controller. The simulation results show the effectiveness and superiority of this method.

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Zhou, Kai, Min Ai, Dongyang Sun, Ningzhi Jin, and Xiaogang Wu. "Field Weakening Operation Control Strategies of PMSM Based on Feedback Linearization." Energies 12, no. 23 (November 28, 2019): 4526. http://dx.doi.org/10.3390/en12234526.

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Based on current research into the mathematical model of the permanent magnet synchronous motor (PMSM) and the feedback linearization theory, a control strategy established upon feedback linearization is proposed. The Lie differential operation is performed on the output variable to obtain the state feedback of the nonlinear system, and the dynamic characteristics of the original system are transformed into linear dynamic characteristics. A current controller based on the input–output feedback linearization algorithm is designed to realize the input–output linearization control of the PMSM. The current controller decouples the d–q axis current from the flux linkage information of the motor and outputs a control voltage. When the motor speed reaches above the base speed, the field-forward and straight-axis current components are newly distributed to achieve field weakening control, which can realize the smooth transition between the constant torque region and weak magnetic region. Simulation and experimental results show the feasibility and viability of the strategy.

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Journal articles on the topic 'Nonlinear dynamic state feedback controller (NDSFC)'

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