Academic literature on the topic 'Nonlinear static state feedback controller (NSSFC)'

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Journal articles on the topic "Nonlinear static state feedback controller (NSSFC)"

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Liu, Long, and Ming Li. "Dissipative Control for Nonlinear Neutral Delay Systems." Applied Mechanics and Materials 48-49 (February 2011): 439–42. http://dx.doi.org/10.4028/www.scientific.net/amm.48-49.439.

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The problem of delay-dependent dissipative control for nonlinear neutral delay systems is dealt with. We develop the design method of dissipative static state feedback controller such that the closed-loop system is absolutely stable and strictly-dissipative. Sufficient conditions for the existence of the quadratic dissipative controller are obtained by using linear Matrix Inequality(LMI) approach. Furthermore, a procedure of constructing such a controller from the solution of LMI is given. It is shown that the solvability of a dissipative controller design is implied by the feasibility of LMIs.
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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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Zhang, Yan, Yali Dong, and Tianrui Li. "Design of Robust Output Feedback Guaranteed Cost Control for a Class of Nonlinear Discrete-Time Systems." International Journal of Engineering Mathematics 2014 (September 10, 2014): 1–9. http://dx.doi.org/10.1155/2014/628041.

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This paper investigates static output feedback guaranteed cost control for a class of nonlinear discrete-time systems where the delay in state vector is inconsistent with the delay in nonlinear perturbations. Based on the output measurement, the controller is designed to ensure the robust exponentially stability of the closed-loop system and guarantee the performance of system to achieve an adequate level. By using the Lyapunov-Krasovskii functional method, some sufficient conditions for the existence of robust output feedback guaranteed cost controller are established in terms of linear matrix inequality. A numerical example is provided to show the effectiveness of the results obtained.
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Yu, Xiao, Fucheng Liao, and Jiamei Deng. "Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems." Mathematical Problems in Engineering 2018 (September 10, 2018): 1–15. http://dx.doi.org/10.1155/2018/4606389.

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This paper considers the design of the robust preview controller for a class of uncertain discrete-time Lipschitz nonlinear systems. According to the preview control theory, an augmented error system including the tracking error and the known future information on the reference signal is constructed. To avoid static error, a discrete integrator is introduced. Using the linear matrix inequality (LMI) approach, a state feedback controller is developed to guarantee that the closed-loop system of the augmented error system is asymptotically stable with H∞ performance. Based on this, the robust preview tracking controller of the original system is obtained. Finally, two numerical examples are included to show the effectiveness of the proposed controller.
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Lukov, V., M. Alexandrova, and N. Nikolov. "Multi-model Fuzzy Modal Control of SISO Nonlinear Plant." Information Technologies and Control 14, no. 4 (December 1, 2016): 19–26. http://dx.doi.org/10.1515/itc-2017-0013.

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Abstract The article presents the synthesis of a multi-model modal control of single input – single output nonlinear plant, based on Takagi-Sugeno fuzzy controller. For that purpose, the nonlinear static characteristic of the plant is presented by two linear parts. These two linear structures are described in state space. The feedback vectors and the coefficients ki of the modal controllers are calculated. An integral component in the control law is added.
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Li, Li, Qingling Zhang, Yi Zhang, and Baoyan Zhu. "H∞Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/896515.

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This paper investigates the problem ofH∞fuzzy control for a class of nonlinear singular Markovian jump systems with time delay. This class of systems under consideration is described by Takagi-Sugeno (T-S) fuzzy models. Firstly, sufficient condition of the stochastic stabilization by the method of the augmented matrix is obtained by the state feedback. And a designed algorithm for the state feedback controller is provided to guarantee that the closed-loop system not only is regular, impulse-free, and stochastically stable but also satisfies a prescribedH∞performance for all delays not larger than a given upper bound in terms of linear matrix inequalities. ThenH∞fuzzy control for this kind of systems is also discussed by the static output feedback. Finally, numerical examples are given to illustrate the validity of the developed methodology.
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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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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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Saeedian, Atefeh, Farshad Merrikh-Bayat, and Abolfazl Jalilvand. "Multivariable fractional-order PID tuning by iterative non-smooth static-dynamic H∞ synthesis." Fractional Calculus and Applied Analysis 24, no. 4 (August 1, 2021): 1094–111. http://dx.doi.org/10.1515/fca-2021-0047.

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Abstract This paper proposes a new method for tuning the parameters of multi-input multi-output (MIMO) fractional-order PID (FOPID) controller. The aim of the proposed method is to calculate the parameters of this controller such that the rise time and steady-state errors of the feedback system are minimized without violating the predetermined stability margins. Mathematically, this problem is formulated as maximizing the spectral norm of the open-loop transfer matrix at zero frequency subject to a constraint on the H∞ -norm of the sensitivity function. This problem is nonlinear in parameters of the MIMO FOPID, which can be solved using the iterative algorithm developed in this paper based on non-smooth H∞ synthesis.
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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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Dissertations / Theses on the topic "Nonlinear static state feedback controller (NSSFC)"

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Elgharib, Ahmed Omar Ahmed. "Différentes stratégies de contrôle pour le système d'éolienne connecté PMSG." Electronic Thesis or Diss., Aix-Marseille, 2022. http://www.theses.fr/2022AIXM0647.

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L'énergie éolienne est l'une des sources d'énergie renouvelables les plus attrayantes et prometteuses. Celle-ci offre un excellent substitut à la production d'énergie électrique traditionnelle. Les éoliennes basées sur un PMSG sont les mieux adaptées aux applications autonomes en raison de leur fiabilité et de leur haute efficacité. L'énergie éolienne a continué à jouer un rôle important et peut être considérée comme la source d'énergie renouvelable la plus déployée. Ce travail de recherche propose quelques méthodes de contrôle efficaces associées au contrôle de l'énergie éolienne. Il porte principalement sur le réajustement de certaines approches de contrôle disponibles, comme l'amélioration du NSSFC et du NDSFC, afin d'augmenter les performances du contrôleur pour un tel système. En parallèle, ce travail traite le contrôleur NPIC qui a été ajouté au système en présentant une technique de contrôle sans capteur d'une éolienne PMSG à entraînement direct. Ensuite, le contrôleur PI est étudié dans ce travail en intégrant un algorithme génétique qui a un impact significatif sur l'efficacité et l'exécution des applications éoliennes et de leur système entier. Le MPC est le dernier contrôleur qui a été exploré avec ses résultats de simulation pour le système. Tous ces contrôleurs utilisent PMSG. Plusieurs tests expérimentaux ont été appliqués à une grande variété de configurations, afin de valider les résultats de simulation obtenus. Cette thèse de recherche servira comme référence pour les études futures sur le contrôle des systèmes d'éoliennes
Renewable energy is considered as a viable alternative to conventional fossil fuel generators globally. One of the appealing and promising renewable energy sources is wind energy. This renewable energy source offers an excellent substitute for the generation of traditional electricity. Wind turbines based on PMSG are best suited for stand-alone applications due to their reliability. This research work proposes some efficient control methods associated with wind energy control. It is focused more on the readjustment of some available control approaches as the improvement of NSSFC (nonlinear static state feedback controller) and NDSFC (nonlinear dynamic state feedback controller) to increase the controller performance for such a system. In sequence with that, this work moves forward to another controller(NPIC) which has been added to this system by presenting a sensor-less control technique of direct driven PMSG wind turbine. Afterwards, PI Controller is studied in this work by integrating genetic algorithm that has significant impact on the efficiency and execution of wind turbine applications and their whole system. Model predictive control (MPC) is thelast controller that has been explored. All of these controllers are using PMSG, discussed under different operating ranges of wind speed. Several experimental tests were applied to wide variety of configurations in order to validate the simulation results produced. This research aims to serve as a detailed reference for future studies on the control of wind turbine systems
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Book chapters on the topic "Nonlinear static state feedback controller (NSSFC)"

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Lei, Junwei, Xiao Cong, and Heng Li. "Research on Interference Observation and Tracking Control of Pitch Angle for Unmanned Aircraft." In Advances in Transdisciplinary Engineering. IOS Press, 2024. http://dx.doi.org/10.3233/atde240288.

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This article focuses on the design of linear and nonlinear disturbance observers for the disturbance term of the attitude angular rate submodel of the simplified model of attitude stability in the pitch channel of unmanned aircraft. and the disadvantages of engineering implementation of nonlinear disturbance observers is analyzed. On this basis, a disturbance observation tracking controller for the pitch attitude angle was designed through nonlinear equivalent control and state feedback. By selecting the hurwitz coefficients of the controller , the stability of the system was ensured. And through simulation analysis in four cases: with integration, without integration, with perturbation of system parameters, and with completely unknown system model, it is shown that the proposed method can estimate interference to a certain extent, but there is a static error in the case of unknown model. At the same time, the proposed method can reduce control gain and increase stability margin compared to traditional PID control.
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Conference papers on the topic "Nonlinear static state feedback controller (NSSFC)"

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Saleme, Ahmed, and Bernd Tibken. "Nonlinear static state feedback controller design to enlarge the domain of attraction for a class of nonlinear systems." In 2013 American Control Conference (ACC). IEEE, 2013. http://dx.doi.org/10.1109/acc.2013.6580464.

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Luong, David, and Tsu-Chin Tsao. "Model Predictive Control of Organic Rankine Cycle for Waste Heat Recovery in Heavy-Duty Diesel Powertrain." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-5881.

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This paper continues the development of a previous conference paper that introduces advanced controllers for an Organic Rankine Cycle (ORC) in a heavy-duty diesel powertrain. The ORC’s heat exchangers are modeled as control-oriented, nonlinear Moving Boundary models. The pump and expander, which are coupled to the engine crankshaft, have relatively faster dynamics than the heat exchangers and are modeled as static components. The driving cycle produces transient heat source and engine conditions for the ORC whose goal is to maximize waste heat recovery under specified operating constraints. This paper describes a Model Predictive Controller (MPC) and compares it to Proportional Integral (PI) and Linear Quadratic Integral (LQI) controllers. The three controllers attempts to regulate heat exchanger pressures while satisfying specified operating constraints. Extended Kalman Filters (EKFs) are designed and implemented for state estimation feedback for MPC and LQI requiring full state feedback. The simulation results show the advantage of the advanced controllers in reducing pressure regulation error, with MPC having the lowest pressure regulation error among the three controllers and able to incorporate the operating constraints into its control law.
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