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Автор: Grafiati

Опубліковано: 6 липня 2024

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1

Ali, Anwer J., Hayder H. Abbas, and Hassan Bevrani. "Comparative Analysis of H2 and H∞ Robust Control Design Approaches for Dynamic Control Systems." Journal of Engineering 29, no. 08 (August 1, 2023): 1–15. http://dx.doi.org/10.31026/j.eng.2023.08.01.

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This paper discusses using H2 and H∞ robust control approaches for designing control systems. These approaches are applied to elementary control system designs, and their respective implementation and pros and cons are introduced. The H∞ control synthesis mainly enforces closed-loop stability, covering some physical constraints and limitations. While noise rejection and disturbance attenuation are more naturally expressed in performance optimization, which can represent the H2 control synthesis problem. The paper also applies these two methodologies to multi-plant systems to study the stability and performance of the designed controllers. Simulation results show that the H2 controller tracks a desirable closed-loop performance, while the H∞ controller guarantees robust stability for the closed-loop system. The validation of the techniques is demonstrated through the robust and performance gamma index, where the H∞ controller achieved a robust gamma index of 0.8591, indicating good robustness and the H2 controller achieved a performance gamma index of 2.1972, indicating a desirable performance. The robust control toolbox of MATLAB is used for simulation purposes. Overall, the paper shows that selecting a suitable, robust control strategy is crucial for designing effective control systems, and the H2 and H∞ robust control approaches are viable options for achieving this goal.

2

Oveisi, Atta, and Tamara Nestorović. "Robust nonfragile observer-based H2/H∞ controller." Journal of Vibration and Control 24, no. 4 (May 29, 2016): 722–38. http://dx.doi.org/10.1177/1077546316651548.

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A robust nonfragile observer-based controller for a linear time-invariant system with structured uncertainty is introduced. The [Formula: see text] robust stability of the closed-loop system is guaranteed by use of the Lyapunov theorem in the presence of undesirable disturbance. For the sake of addressing the fragility problem, independent sets of time-dependent gain-uncertainties are assumed to be existing for the controller and the observer elements. In order to satisfy the arbitrary H2-normed constraints for the control system and to enable automatic determination of the optimal [Formula: see text] bound of the performance functions in disturbance rejection control, additional necessary and sufficient conditions are presented in a linear matrix equality/inequality framework. The [Formula: see text] observer-based controller is then transformed into an optimization problem of coupled set of linear matrix equalities/inequality that can be solved iteratively by use of numerical software such as Scilab. Finally, concerning the evaluation of the performance of the controller, the control system is implemented in real time on a mechanical system, aiming at vibration suppression. The plant under study is a multi-input single-output clamped-free piezo-laminated smart beam. The nominal mathematical reduced-order model of the beam with piezo-actuators is used to design the proposed controller and then the control system is implemented experimentally on the full-order real-time system. The results show that the closed-loop system has a robust performance in rejecting the disturbance in the presence of the structured uncertainty and in the presence of the unmodeled dynamics.

3

Zou, Yidong, Boyi Xiao, Jing Qian, and Zhihuai Xiao. "Design of Intelligent Nonlinear H2/H∞ Robust Control Strategy of Diesel Generator-Based CPSOGSA Optimization Algorithm." Processes 11, no. 7 (June 21, 2023): 1867. http://dx.doi.org/10.3390/pr11071867.

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In today’s human society, diesel generators (DGs) are widely applied in the human energy and electricity supply system due to its technical, operational, and economic advantages. This paper proposes an intelligent nonlinear H2/H∞ robust controller based on the chaos particle swarm gravity search optimization algorithm (CPSOGSA), which controls the speed and excitation of a DG. In this method, firstly, establish the nonlinear mathematical model of the DG, and then design the nonlinear H2/H∞ robust controller based on this. The direct feedback linearization and the H2/H∞ robust control theory are combined and applied. Based on the design of the integrated controller for DG speed and excitation, the system’s performance requirements are transformed into a standard robust H2/H∞ control problem. The parameters of the proposed solution controller are optimized by using the proposed CPSOGSA. The introduction of CPSOGSA completes the design of an intelligent nonlinear H2/H∞ robust controller for DG. The simulation is implemented in MATLAB/Simulink, and the results are compared with the PID control method. The obtained results prove that the proposed method can effectively improve the dynamic accuracy of the system and the ability to suppress disturbances and improve the stability of the system.

4

Toscano, R. "H 2 ∕ H ∞ Robust Static Output Feedback Control Design Without Solving Linear Matrix Inequalities." Journal of Dynamic Systems, Measurement, and Control 129, no. 6 (February 14, 2007): 860–66. http://dx.doi.org/10.1115/1.2745884.

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In this paper, we investigate the problem of robust synthesis of a static output feedback controller, with guaranteed H2∕H∞ cost, in the context of multiple parametric uncertainties. To solve this problem, a random optimization technique based on a bisection method is proposed. The principle is as follows: For a given initial stabilizing controller of the nominal system, the proposed approach iteratively generates a sequence of matrices with a decreasing H2∕H∞ cost. By a bisection method, this procedure is stopped when the controller reaches the best possible nominal performance that satisfies a given guaranteed H2∕H∞ cost. Numerical examples show the practical applicability of the proposed method.

5

SUGIE, Toshiharu, and Tomoyuki TEZUKA. "Robust Regulation with Guaranteed H2 Control Performance." Transactions of the Society of Instrument and Control Engineers 29, no. 7 (1993): 760–66. http://dx.doi.org/10.9746/sicetr1965.29.760.

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6

Yang, Fuwen, and Zidong Wang. "ROBUST MIXED H2 /H∞ CONTROL FOR SYSTEMS WITH STOCHASTIC NONLINEARITY." IFAC Proceedings Volumes 38, no. 1 (2005): 117–22. http://dx.doi.org/10.3182/20050703-6-cz-1902.00372.

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7

HUANG, He, De-Wei LI, and Yu-Geng XI. "The Improved Robust Model Predictive Control with Mixed H2/H∞ Control Approach." Acta Automatica Sinica 38, no. 6 (June 2012): 944–49. http://dx.doi.org/10.1016/s1874-1029(11)60296-6.

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8

Xu, Fei-Xiang, Xin-Hui Liu, Wei Chen, Chen Zhou, and and Bing-Wei Cao. "Improving Handling Stability Performance of Four-Wheel Steering Vehicle Based on the H2/H∞ Robust Control." Applied Sciences 9, no. 5 (February 27, 2019): 857. http://dx.doi.org/10.3390/app9050857.

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Considering the demand for vehicle stability control and the existence of uncertainties in the four-wheel steering (4WS) system, the mixed H2/H∞ robust control methodology of the 4WS system is proposed. Firstly, the linear 2DOF vehicle model, the nonlinear 8DOF vehicle model, the driver model, and the rear wheel electrohydraulic system model were constructed. Secondly, based on the yaw rate tracking strategy, the mixed H2/H∞ controller was designed with the optimized weighting functions to guarantee system performance, robustness, and the robust stability of the 4WS vehicle stability control system. The H∞ method was applied to minimize the effects of modeling uncertainties, sensor noise, and external disturbances on the system outputs, and the H2 method was used to ensure system performance. Finally, numerical simulations based on Matlab/Simulink and hardware-in-the-loop experiments were performed with the proposed control strategy to identify its performance. The simulation and experimental results indicate that the handling stability of the 4WS vehicle is improved by the H2/H∞ controller and that the 4WS system with the H2/H∞ controller has better handling stability and robustness than those of the H∞ controller and the proportional controller.

9

Kang, Lifan, Yue Wang, and Ting Hou. "Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities." Mathematical Problems in Engineering 2020 (May 11, 2020): 1–12. http://dx.doi.org/10.1155/2020/1940676.

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This note focuses on the finite horizon H2/H∞ control for stochastic nonlinear jump systems with partially unknown transition probabilities. We derive the nonlinear stochastic bounded real lemma and the nonlinear optimal regular result for the considered system at first. A sufficient condition and a necessary condition for the solution of H2/H∞ control are, respectively, offered by four cross-coupled Hamilton–Jacobi equations (HJEs). Besides, numerical examples show the effectiveness of the obtained results.

10

Bian, Min, and Qing Yun Guo. "Robust H₂/H_∞Control Strategy for Linear Markovian Jump Systems." Applied Mechanics and Materials 525 (February 2014): 646–52. http://dx.doi.org/10.4028/www.scientific.net/amm.525.646.

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The robust H2/<em>H</em>∞ control strategy for a class of linear continuous-time uncertain systems with randomly jumping parameters is investigated. The transition of the jumping parameters is decided by a finite-state Markov process. The uncertainties are supposed to be norm-bounded. It is desired to design a linear state feedback control strategies such that the closed-loop system satisfies H performance and minimizes the H2 norm of the system. A sufficient condition is first established on the existence of the robust H2/<em>H</em>∞controller bases on the bounded real lemma. Then the corresponding state-feedback law is given in terms of a set of linear matrix inequalities (LMIs). It is showed that this condition is equivalent to the feasible solutions problem of LMI. Furthermore, the control strategy design problem is converted into a convex optimization problem subject to LMI constraints, which can be easily solved by standard numerical software.

11

Jin, Xianjian, Jiadong Wang, and Junpeng Yang. "Development of Robust Guaranteed Cost Mixed Control System for Active Suspension of In-Wheel-Drive Electric Vehicles." Mathematical Problems in Engineering 2022 (February 22, 2022): 1–16. http://dx.doi.org/10.1155/2022/4628539.

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This paper presents a mixed H2/H∞-based robust guaranteed cost control system design of an active suspension system for in-wheel-independent-drive electric vehicles considering suspension performance requirements and parameter variation. In the active suspension system model, parameter uncertainties of active suspension are described by the bounded method, and the perturbation bounds can be also limited; then, the uncertain quarter-vehicle active suspension model where in-wheel motor is suspended as a dynamic vibration absorber is established. The robust guaranteed cost mixed H2/H∞ feedback controller of the closed-loop active suspension system is designed using Lyapunov stability theory, in which the suspension working space, dynamic tire displacement, and the active control force are taken as H∞ performance indices, the H2 norm of body acceleration is selected as the output performance index to be minimized, and then a comprehensive solution is transformed into a convex optimization problem with linear matrix inequality constraints. Simulations on random and bump road excitations are implemented to verify and evaluate the performance of the designed controller. The results show that the active suspension with developed robust mixed H2/H∞ controller can effectively achieve better ride comfort and road-holding ability compared with passive suspension and alone H∞ controller.

12

GRIMBLE, M. J. "H2/ H∞robust control design for a generalized control structure and flight control application." International Journal of Systems Science 26, no. 11 (November 1995): 2043–68. http://dx.doi.org/10.1080/00207729508929154.

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13

Zhang, Chuanwei, Bo Chang, Jianlong Wang, Shuaitian Li, Rongbo Zhang, and Jian Ma. "Robust Control Design of Active Front-Wheel Steering on Low-Adhesion Road Surfaces." World Electric Vehicle Journal 12, no. 3 (September 10, 2021): 153. http://dx.doi.org/10.3390/wevj12030153.

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In order to improve the stability of vehicle steering on low-adhesion road surfaces, this paper designed a hybrid robust control strategy, H2/H∞, for active front-wheel steering (AFS) based on robust control theory. Firstly, we analyzed the influence of the sidewall stiffness and road adhesion coefficient of the tires on vehicle stability, through which we can study the wheel deflection characteristics of low-adhesion roads. Secondly, the reference yaw velocity of the vehicle was calculated using the three-degrees-of-freedom model as the reference model, through which, taking the norm H∞ as the objective function and the norm H2 as the limit to control the output, the hybrid robust control strategy H2/H∞ of the AFS system on a low-adhesion road surface was developed. Finally, the simulation experiment was carried out by the Simulink/CarSim co-simulation platform and a hardware-in-the-loop (HIL) experiment. In this paper, the results show that the AFS control strategy can improve the vehicle handling stability on low-adhesion road surfaces, and the controller has good path tracking performance and robustness.

14

Wang, Jun, and Miaomiao Ling. "Hybrid Robust H2/H∞ Fault-Tolerant Control with Random Delay NCS." Journal of Control Science and Engineering 2020 (January 21, 2020): 1–13. http://dx.doi.org/10.1155/2020/1328068.

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In this paper, a hybrid fault-tolerant control method with off-line design and online scheduling is proposed for NCS with actuator faults, random delay, and external finite energy disturbance. The problem of less conservatism of robust generalized H2/H∞ hybrid fault-tolerant control is studied. Firstly, a closed-loop fault model of the system with random delay parameters was established according to the Bernoulli 0-1 distribution; all possible prior faults are divided into a few intervals according to certain rules, and then an interval fault-tolerant controller is designed off-line according to the prior faults of each interval. Secondly, when the fault is estimated online, the corresponding interval fault-tolerant controller is called through the scheduling mechanism to achieve rapid fault tolerance of prior faults within the interval and mitigate the impact of other faults within the interval, which provides a guarantee for subsequent safe reconstruction control. Finally, the effectiveness of the proposed method is verified by Matlab simulation.

15

Sutyasadi, Petrus, and Manukid Parnichkun. "Push recovery control of quadruped robot using particle swarm optimization based structure specified mixed sensitivity H2/H∞ control." Industrial Robot: the international journal of robotics research and application 47, no. 3 (March 11, 2020): 423–34. http://dx.doi.org/10.1108/ir-06-2019-0135.

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Purpose The purpose of this paper is to introduce a quadruped robot strategy to avoid tipping down because of side impact disturbance and a control algorithm that guarantees the strategy can be controlled stably even in the presence of disturbances or model uncertainties. Design/methodology/approach A quadruped robot was developed. Trot gait is applied so the quadruped can be modelled as a compass biped model. The algorithm to find a correct stepping position after an impact was developed. A particle swarm optimization-based structure-specified mixed sensitivity (H2/H∞) robust is applied to reach the stepping position. Findings By measuring the angle and speed of the side tipping after an impact disturbance, a point location for the robot to step or the foothold recovery point (FRP) was successfully generated. The proposed particle swarm optimization-based structure-specified mixed sensitivity H2/H∞ robust control also successfully brought the legs to the desired point. Practical implications A traditional H∞ controller synthesis usually results in a very high order of controller. This makes implementation on an embedded controller very difficult. The proposed controller is just a second-order controller but it can handle the uncertainties and disturbances that arise and guarantee that FRP can be reached. Originality/value The first contribution is the proposed low-order robust H2/H∞ controller so it is easy to be programmed on a small embedded system. The second is FRP, a stepping point for a quadruped robot after receiving side impact disturbance so the robot will not fall.

16

Mohseni, Naser Azim, and Navid Bayati. "Robust Multi-Objective H2/H∞ Load Frequency Control of Multi-Area Interconnected Power Systems Using TS Fuzzy Modeling by Considering Delay and Uncertainty." Energies 15, no. 15 (July 29, 2022): 5525. http://dx.doi.org/10.3390/en15155525.

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The main objective of this paper is to design a robust multi-objective H2/H∞ delayed feedback controller for load frequency control of a multi-area interconnected power system by taking into account all theoretical and practical constraints. To achieve more precise modelling and analysis, the limitation of valve position, governor, and transmission delay are considered to guarantee of LFC system’s stability in practical applications. The nonlinear delayed system is approximated by the Takagi–Sugeno fuzzy model. Then, a parallel distributed compensation scheme is utilized for designing the control system of the overall system. The proposed multi-objective and robust H2/H∞ controller simultaneously minimizes the H2 and H∞ control performance indexes. Finally, simulation results verify the robustness and effectiveness of the proposed scheme in dealing with the impact of load disturbances, model uncertainties, transmission time delays, and nonlinearities in the model.

17

Thanh, Bui Trung, and Manukid Parnichkun. "Balancing Control of Bicyrobo by Particle Swarm Optimization-Based Structure-Specified Mixed H2/H∞ Control." International Journal of Advanced Robotic Systems 5, no. 4 (November 1, 2008): 39. http://dx.doi.org/10.5772/6235.

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In this paper, a structure-specified mixed H2/H∞ controller design using particle swarm optimization (PSO) is proposed for control balancing of Bicyrobo, which is an unstable system associated with many sources of uncertainties due to un-model dynamics, parameter variations, and external disturbances. The structure-specified mixed H2/H∞ control is a robust and optimal control technique. However, the design process normally comes up with a complex and non-convex optimization problem which is difficult to solve by the conventional optimization methods. PSO is a recently useful meta-heuristic search method used to solve multi-objective and non-convex optimization problems. In the method, PSO is used to search for parameters of a structure-specified controller which satisfies mixed H2/H∞ performance index. The simulation and experimental results show the robustness of the proposed controller in compared with the conventional proportional plus derivative (PD) controller, and the efficiency of the proposed algorithm in compared with the genetic algorithm (GA).

18

Chen, Qianjing, Jinquan Huang, Muxuan Pan, and Feng Lu. "H2/H∞ Output Tracking Control with a Performance Compensator for Aeroengines." Applied Sciences 10, no. 14 (July 17, 2020): 4929. http://dx.doi.org/10.3390/app10144929.

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A robust output tracking controller is necessary for the safe and reliable operation of aeroengines. This paper aims at developing an H 2 / H ∞ output tracking approach for aeroengines. In order to improve the tracking performance of the traditional robust tracker, the proposed control structure is designed as a combination of a nominal controller and a compensator. Concretely, an H 2 / H ∞ nominal controller is derived from game algebraic Raccati equation (GARE), which facilitates establishing a compensator for the system. Since the reference is usually unknown in advance for practical application, the proposed compensator is calculated online according to the nominal controller and the current reference. The solvability of the compensator and the stability of the system is guaranteed for both stable and bounded unstable references. Simulation examples for a turbofan engine are provided to demonstrate the effectiveness of the proposed algorithm.

19

Liu, Nan, Hui Pang, and Rui Yao. "Robust Mixed H2/H∞ State Feedback Controller Development for Uncertain Automobile Suspensions with Input Delay." Processes 8, no. 3 (March 20, 2020): 359. http://dx.doi.org/10.3390/pr8030359.

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In order to achieve better dynamics performances of a class of automobile active suspensions with the model uncertainties and input delays, this paper proposes a generalized robust linear H2/H∞ state feedback control approach. First, the mathematical model of a half-automobile active suspension is established. In this model, the H∞ norm of body acceleration is determined as the performance index of the designed controller, and the hard constraints of suspension dynamic deflection, tire dynamic load and actuator saturation are selected as the generalized H2 performance output index of the designed controller to satisfy the suspension safety requirements. Second, a generalized H2/H∞ guaranteed cost state-feedback controller is developed in terms of Lyapunov stability theory. In addition, the Cone Complementarity Linearization (CCL) algorithm is employed to convert the generalized H2/H∞ output-feedback control problem into a finite convex optimization problem (COP) in a linear matrix inequality framework. Finally, a numerical simulation case of this half-automobile active suspension is presented to illustrate the effectiveness of the proposed controller in frequency-domain and time-domain.

20

Wahiba, Kabi, Ghouraf Djamel Eddine, and Naceri Abdellatif. "An Advanced Robust AVR-PSS Based H2 and H∞ Frequency Approachs Simulated Under a Realized GUI." TELKOMNIKA Indonesian Journal of Electrical Engineering 15, no. 3 (September 1, 2015): 468. http://dx.doi.org/10.11591/tijee.v15i3.1564.

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This article present a comparative study between two advanced robust frequency control strategies and their implementation using our realised Graphical User Interface ‘GUI’ under MATLAB software: the first method based on loop-shaping H∞ optimization technique and the second on robust H2 control method (LQG controller associated with KALMAN filter), and applied on automatic excitation control of synchronous generators, to improve transient stability and robustness of a single machine- infinite bus (SMIB) system operating in different several conditions. The computer simulation results (static and dynamic stability), with test of robustness against machine parameters uncertainty (electric and mechanic), have proved that good dynamic performances, showing a stable system responses almost insensitive to large parameters variations, and more robustness using robust H∞ controller in comparison with H2 approach by exploiting our developed GUI interface in this work.

21

Yang, F., Z. Wang, and D. W. C. Ho. "Robust mixed H2/H∞ control for a class of nonlinear stochastic systems." IEE Proceedings - Control Theory and Applications 153, no. 2 (March 1, 2006): 175–84. http://dx.doi.org/10.1049/ip-cta:20050123.

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22

Ao, Yichao, and Yingmin Jia. "Robust H2/H∞ group consensus control for linear clusters over signed digraphs." Journal of the Franklin Institute 357, no. 12 (August 2020): 7556–80. http://dx.doi.org/10.1016/j.jfranklin.2020.05.020.

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23

Yue, Yuan-Long, Shi-Long Sun, and Xin Zuo. "Discrete-time robust H∞/H2 optimal guaranteed performance control for riser recoil." Ocean Engineering 304 (July 2024): 117699. http://dx.doi.org/10.1016/j.oceaneng.2024.117699.

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24

Gosiewski, Zdzisław, and Arkadiusz Mystkowski. "The Robust Control of Magnetic Bearings for Rotating Machinery." Solid State Phenomena 113 (June 2006): 125–30. http://dx.doi.org/10.4028/www.scientific.net/ssp.113.125.

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The fast progress in the applications of active magnetic suspension systems needs to apply the modern control theory. This paper deals with H∞ and H2 control of rigid rotor movement, which is supported in magnetic bearings. The robust control of magnetic bearings is investigated analytically. The nominal model of active magnetic suspension of rotor and the uncertainty model were derived. The standard PID control and robust control are compared and performance of nominal feedback configuration with weights is presented. We propose a robust control with a multi-objective controller to achieve good robust stability when the model of a plant is uncertain. The behavior of multiplicative uncertainty of magnetic suspension system is shown. The aim of optimal robust control is to improve the magnetic suspension taking into account the energy limitation (i.e., to avoid the saturation of actuators). The H2 performance and H∞ performance depend on a proper selection of weighting functions. So a very important step in the controller design process is to choose the appropriate weight functions: We, Wu, Wd. The influence of noise is limited by weight functions. We also put limits on input and output signals. The stability of a system with disturbance interaction is discussed. The simulations of a well-posed and internally stable magnetic system are presented. The success of the robust control is demonstrated through results of numerical simulations.

25

Yin, Xiaomeng, Xinming Li, Lei Liu, Yongji Wang, and Xing Wei. "A probabilistic robust mixed H2/H∞ fuzzy control method for hypersonic vehicles based on reliability theory." International Journal of Advanced Robotic Systems 15, no. 1 (January 1, 2018): 172988141775415. http://dx.doi.org/10.1177/1729881417754153.

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Achieving balance between robustness and performance is always a challenge in the hypersonic vehicle flight control design. In this research, we focus on dealing with uncertainties of the fuzzy control system from the viewpoint of reliability. A probabilistic robust mixed H2/ H∞ fuzzy control method for hypersonic vehicles is presented by describing the uncertain parameters as random variables. First, a Takagi–Sugeno fuzzy model is employed for the hypersonic vehicle nonlinear dynamics characteristics. Next, a robust fuzzy controller is developed by solving a reliability-based multi-objective linear matrix inequality optimization problem, in which the H2/ H∞ performance is optimized under the condition that the system is robustly reliable to uncertainties. By this method, the system performance and reliability can be taken into account simultaneously, which reduces the conservatism in the robust fuzzy control design. Finally, simulation results of a hypersonic vehicle demonstrate the feasibility and effectiveness of the presented method.

26

Vasičkaninová, Anna, and Monika Bakošová. "Robust control of a chemical reactor with uncertainties." Acta Chimica Slovaca 6, no. 2 (October 1, 2013): 194–201. http://dx.doi.org/10.2478/acs-2013-0031.

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Abstract This work deals with the design and the application of a robust control to a chemical reactor. The reactor is exothermic one. There are two parameters with only approximately known values in the reactor. These parameters are the reaction enthalpies. Because of the presence of uncertainty, the robust output feedback is designed. Two robust controllers are designed, the first one is based on the small gain theorem and the second one uses the H2/H∞ control techniques. The presented experimental results confirm applicability of mentioned approaches to safe control of nonlinear processes.

27

Wei, Wan Ying, Jin Ying Chen, and Hong Lian Li. "Dual Closed-Loop Electric Power Steering System on the Mixed H₂/H_∞ Control Strategy." Applied Mechanics and Materials 716-717 (December 2014): 1582–86. http://dx.doi.org/10.4028/www.scientific.net/amm.716-717.1582.

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Aiming at the request of EPS system for the robust stability and the dynamic characteristic, the dynamics model of an electric power steering system (EPS) is established , the outer ring mixed H2/H∞ control based on genetic algorithm decides the values of the target torque and solves the perturbation problem, the inner ring control with PID control algorithm will never compromise with current real-time control. Simulation results show that the application of mixed H2/H∞ in the outer ring for current decision can make the EPS system stable and realize the ideal control performance, can also obtain the low frequency information from the surface of the road and depress the high frequency interference.With the application of current tracking loop PID control, EPS system has good dynamic characteristics of the target current real-time tracking, so that electric power steering system has better stability and traking performence.

28

Hua, Haochen, Yuchao Qin, Jianye Geng, Chuantong Hao, and Junwei Cao. "Robust Mixed H2/H∞ Controller Design for Energy Routers in Energy Internet." Energies 12, no. 3 (January 22, 2019): 340. http://dx.doi.org/10.3390/en12030340.

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In this paper, a class of mixed H2/H∞ controller is designed for an energy router (ER) within the scenario of an energy Internet (EI). The considered ER is assumed to have access with photovoltaic panels, wind turbine generators, micro-turbines, fuel cells, diesel engine generators, battery energy storage devices, flywheel energy storage devices, loads, and other ERs. Two types of control targets are considered. First, due to the access of large-scale renewable energy sources, the DC bus voltage deviation within the ER system shall be regulated. Second, an optimal energy management strategy shall be achieved, such that the autonomous power supply-demand balance within each ER is achieved with priority and the rational utilization of controllable power generation devices and energy storage devices are realized. When these objectives are considered simultaneously, the control issues with respect to ER is formulated as a mixed robust H2/H∞ control problem with analytical solutions provided. Several numerical examples are given, and the feasibility and effectiveness of the proposed method are demonstrated.

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Zhu, Huai Nian, Cheng Ke Zhang, Pei Hong Sun, and Ning Bin. "A Stackelberg Game Approach to Mixed H₂/H_∞ Robust Control for Singular Bilinear Systems." Advanced Materials Research 204-210 (February 2011): 1839–47. http://dx.doi.org/10.4028/www.scientific.net/amr.204-210.1839.

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The H2/ H∞robust control problem is formulated as a Stackelberg differential game where the leader minimizes an H2criterion while the follower deals with the H∞ constraint. For a closed-loop information structure in the game, the necessary conditions for the existence of a solution are derived for the infinite horizon case. In the end, the simulation of a numerical example is presented.

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Karimi, Hamid Reza, and Ningsu Luo. "Robust Mixed H2/H∞ Control of Uncertain Neutral Systems with Time-Varying Delays." IFAC Proceedings Volumes 41, no. 2 (2008): 4899–904. http://dx.doi.org/10.3182/20080706-5-kr-1001.00823.

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31

Jurado, I., M. G. Ortega, and F. R. Rubio. "Mixed H2/H∞ robust control approach for NCS with uncertainties and data dropouts*." IFAC Proceedings Volumes 44, no. 1 (January 2011): 13269–74. http://dx.doi.org/10.3182/20110828-6-it-1002.02152.

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32

Li, Jiwei, Dewei Li, Yugeng Xi, and Jianbo Lu. "Improved robust model predictive control with guaranteed H2/H∞ performance for polytopic systems." Transactions of the Institute of Measurement and Control 37, no. 7 (August 2, 2013): 892–99. http://dx.doi.org/10.1177/0142331213494219.

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33

Kolavennu, Soumitri, Srinivas Palanki, and Juan C. Cockburn. "Robust control of I/O linearizable systems via multi-model H2/H∞ synthesis." Chemical Engineering Science 55, no. 9 (May 2000): 1583–89. http://dx.doi.org/10.1016/s0009-2509(99)00406-6.

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34

Liu, Miao, and Ze Dong. "Multiobjective robust H2/H∞ fuzzy tracking control for thermal system of power plant." Journal of Process Control 70 (October 2018): 47–64. http://dx.doi.org/10.1016/j.jprocont.2018.08.004.

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35

Zhao, WanZhong, and XiaoXi Qin. "Study on mixed H2/H∞ robust control strategy of four wheel steering system." Science China Technological Sciences 60, no. 12 (July 4, 2017): 1831–40. http://dx.doi.org/10.1007/s11431-017-9053-7.

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36

Wu, Huai-Ning, Shuang Feng, Zhi-Yong Liu, and Lei Guo. "Disturbance observer based robust mixed H2/H∞ fuzzy tracking control for hypersonic vehicles." Fuzzy Sets and Systems 306 (January 2017): 118–36. http://dx.doi.org/10.1016/j.fss.2016.02.002.

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37

Gonçalves, E. N., R. H. C. Takahashi, and R. M. Palhares. "Improved optimisation approach to the robust H2/H∞ control problem for linear systems." IEE Proceedings - Control Theory and Applications 152, no. 2 (March 1, 2005): 171–76. http://dx.doi.org/10.1049/ip-cta:20045041.

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38

Islam, Kazi Shariful, Mehdi Seyedmahmoudian, and Alex Stojcevski. "Decentralized robust mixed H2/H∞ reactive power control of DFIG cluster using SMES." International Journal of Electrical Power & Energy Systems 113 (December 2019): 176–87. http://dx.doi.org/10.1016/j.ijepes.2019.05.017.

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39

Sun, Man, and Yingmin Jia. "Delay-dependent robust H2/H∞ control for time-delay systems with polytopic uncertainty." Asian Journal of Control 12, no. 5 (September 2010): 661–66. http://dx.doi.org/10.1002/asjc.232.

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40

Fard, Javad Mashayekhi. "Robust Multi-Objective Control of Power System Stabilizer Using Mixed H2/H∞ and µ Analysis." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 6 (December 1, 2018): 4800. http://dx.doi.org/10.11591/ijece.v8i6.pp4800-4809.

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<p>In order to study the dynamic stability of the system, having a precise dynamic model including the energy generation units such as generators, excitation system and turbine is necessary. The aim of this paper is to design a power stabilizer for Mashhad power plant and assess its effects on the electromechanical fluctuations. Due to lack of certainty in the system, designing an optimized robust controller is crucial. In this paper, the establishment of balance between the nominal and robust performance is done by the weight functions. In the frequencies where the uncertainty is high, in order to achieve to the robust performance of the controller, μ analysis is more profound, otherwise, in order to achieve to nominal performance, robust stability, noise reduction and decrease of controlling signal, the impact of the controller H2/H∞ is more profound. The results of the simulation studies represent the advantages and effectiveness of the suggested method.</p>

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Zhang, Rong, Andrew Alleyne, and Eko Prasetiawan. "Modeling and H2/H∞ MIMO Control of an Earthmoving Vehicle Powertrain." Journal of Dynamic Systems, Measurement, and Control 124, no. 4 (December 1, 2002): 625–36. http://dx.doi.org/10.1115/1.1515326.

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Coordination of the power distribution in a Multi-Input Multi-Output (MIMO) electro-hydraulic transmission is investigated for the case of an earthmoving vehicle powertrain. A generalized model of a representative system is presented along with the development of both H2 and H∞ MIMO controller designs. The controllers are developed based on a linearized model of the system about some nominal operating point. Multiple inputs are coordinated to control multiple load outputs simultaneously. Since typical MIMO electrohydraulic transmission systems have significant nonlinear dynamics that vary with system operating conditions, a robust controller design is paramount. The increased robustness of the H∞ controller over the H2 scheme is demonstrated qualitatively in the time domain through both disturbance rejection and trajectory tracking comparisons. A frequency domain criterion quantitatively provides quantifiable comparisons between the two methods. Hardware-in-the-Loop experiments validate the modeling and control performance on an Earthmoving Vehicle Powertrain Simulator (EVPS).

42

Grimble, M. J. "3 1/2 DOF Polynomial Solution of the Inferential H2/H∞ Control Problem With Application to Metal Rolling." Journal of Dynamic Systems, Measurement, and Control 120, no. 4 (December 1, 1998): 445–55. http://dx.doi.org/10.1115/1.2801485.

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The solution of a new inferential 3 1/2-degree-of-freedom stochastic optimal control problem is discussed which may be either H2 or H∞ optimal. The system includes a 2 1/2-degree-of-freedom inferential tracking controller and a feedforward control action. The feedback controller must be robust and is therefore normally designed to minimize an H∞, criterion. However, the solution obtained is sufficiently general that the feedback, tracking or feedforward control functions can be chosen to minimize either an H2 or a H∞ criterion. The inferential control problem considered was motivated by a problem in the control of metal strip rolling mills. The design study presented considers the control of strip thickness given stand force measurements, and the use of feedforward signal from an upstream stand.

43

Liu, Yueying, Zhen Wang, and Xiangyun Lin. "Non-Zero Sum Nash Game for Discrete-Time Infinite Markov Jump Stochastic Systems with Applications." Axioms 12, no. 9 (September 15, 2023): 882. http://dx.doi.org/10.3390/axioms12090882.

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This paper is to study finite horizon linear quadratic (LQ) non-zero sum Nash game for discrete-time infinite Markov jump stochastic systems (IMJSSs). Based on the theory of stochastic analysis, a countably infinite set of coupled generalized algebraic Riccati equations are solved and a necessary and sufficient condition for the existence of Nash equilibrium points is obtained. From a new perspective, the finite horizon mixed robust H2/H∞ control is investigated, and summarize the relationship between Nash game and H2/H∞ control problem. Moreover, the feasibility and validity of the proposed method has been proved by applying it to a numerical example.

44

Trofino, Alexandre, Daniel F. Coutinho, and Karina A. Barbosa. "Improved H2 and H¥ conditions for robust analysis and control synthesis of linear systems." Sba: Controle & Automação Sociedade Brasileira de Automatica 16, no. 4 (December 2005): 427–34. http://dx.doi.org/10.1590/s0103-17592005000400004.

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This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

45

Sun, Chein-Chung, Hung-Yuan Chung, and Wen-Jer Chang. "H 2 ∕ H ∞ Robust Static Output Feedback Control Design via Mixed Genetic Algorithm and Linear Matrix Inequalities." Journal of Dynamic Systems, Measurement, and Control 127, no. 4 (November 15, 2004): 715–22. http://dx.doi.org/10.1115/1.2098967.

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This paper is concerned with the synthesis of a mixed H2∕H∞ robust static output feedback with a bounded control bandwidth for continuous-time uncertainty systems. To this end, genetic algorithms and a linear matrix inequality solver are employed to regulate the static output feedback gains and to examine the Lyapunov stability conditions, respectively. The fitness function of this paper, which is called a hierarchical fitness function structure (HFFS), is able to deal with the stability conditions and the performance constraints in turn. This HFFS not only saves computing time but can also identify the infeasible stability condition. Designers can use the proposed idea to deal with many complex output feedback control problems. It also limits elaborate mathematical derivations and extra constraints.

46

Kasa, Kenneth. "MODEL UNCERTAINTY, ROBUST POLICIES, AND THE VALUE OF COMMITMENT." Macroeconomic Dynamics 6, no. 1 (February 2002): 145–66. http://dx.doi.org/10.1017/s1365100502027074.

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Using results from the literature on H∞ control, this paper incorporates model uncertainty into a frequency-domain approach to stabilization policy. The derived policies guarantee a minimum performance level even in the worst of (a bounded set of) circumstances. Robust H∞ policies are shown to be more “activist” than H2 policies in the sense that their impulse responses are larger. Robust policies also tend to be more autocorrelated. Consequently, the premium associated with being able to commit is greater under model uncertainty. Without commitment, the policymaker is not able to (credibly) smooth his response to the degree that he would like. A contribution of this paper is its analysis of robust control in a model featuring a forward-looking state transition equation, which arises from the fact that the private sector bases its decisions on expectations of future government policy. Existing applications of H∞ control in economics follow the engineering literature, and only consider backward-looking state transition equations.

47

Ye, M., Z.-F. Bai, and B.-G. Cao. "Energy recovery for battery electric vehicles." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 222, no. 10 (October 1, 2008): 1827–39. http://dx.doi.org/10.1243/09544070jauto691.

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An efficient energy recovery system for battery electric vehicles (BEVs) is developed and tested. The principle and characteristics are analysed in detail. Then the mathematical model is derived step by step. Combining the merits and the defects of H2 optimal control and H∞ robust control, the robust hybrid controller is designed to guarantee both the system performance and the robust stability. The comparative simulated and experimental results showed that the dynamic performance and robust stability of the proposed scheme were superior to those of the proportional-integral method; the vehicle recycled more kinetic energy during braking and the driving range was increased.

48

Sutyasadi, Petrus, and Martinus Bagus Wicaksono. "Joint control of a robotic arm using particle swarm optimization based H2/H∞ robust control on arduino." TELKOMNIKA (Telecommunication Computing Electronics and Control) 18, no. 2 (April 1, 2020): 1021. http://dx.doi.org/10.12928/telkomnika.v18i2.14749.

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49

Mahmoud, Magdi S., and Gulam Dastagir Khan. "Robust mixed H2/H∞ control of networked control systems with random delays and partially known transition matrix." Journal of the Franklin Institute 351, no. 12 (December 2014): 5548–64. http://dx.doi.org/10.1016/j.jfranklin.2014.08.017.

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50

Boubekri, Noureddine, Sofiane Doudou, Dounia Saifia, and Mohammed Chadli. "Robust mixed H2/H∞ fuzzy tracking control of photovoltaic system subject to asymmetric actuator saturation." Transactions of the Institute of Measurement and Control 44, no. 7 (December 3, 2021): 1528–41. http://dx.doi.org/10.1177/01423312211052123.

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This paper focuses on mixed [Formula: see text] fuzzy maximum power point tracking (MPPT) of photovoltaic (PV) system under asymmetric saturation and variations in climatic conditions. To maximize the power from the PV panel array, the DC–DC boost converter is controlled by its duty ratio which is practically saturated between 0 and 1. MPPT based on conventional control presents the problems of oscillations around maximum power point (MPP) and divergence under rapid climatic changes. In order to attenuate the effect of atmospheric condition variation and take into account asymmetric saturation of the duty ratio, we propose a novel robust saturated controller based on both [Formula: see text] performances and Takagi-Sugeno (T-S) representation of PV-boost nonlinear system. Within this approach, the nonlinear PV-boost system and its reference are first described by T-S fuzzy models. Second, the saturation effect is represented by a polytopic model. Then, a fuzzy integral state feedback controller is designed to achieve stable MPPT control. Based on Lyapunov function, the mixed [Formula: see text] stabilization conditions are derived in terms of linear matrix inequalities (LMIs). The optimization of the attraction domain of closed-loop system is solved as a convex optimization problem in LMI terms. Finally, the efficiency of the proposed controller under irradiance and temperature variations is demonstrated through the simulation results. The comparison with some existing controllers shows an improvement of MPPT control performance in terms of power extraction.