Adaptive Fuzzy Event-Triggered Control for Stochastic Nonlinear Systems With Full State Constraints and Actuator Faults

In this paper, an adaptive fuzzy output feedback control problem is investigated for a class of stochastic nonlinear systems in which the fuzzy logic systems are adopted to approximate the unknown nonlinear functions. A reduced-order observer and a general fault model are designed to observe the unavailable state variables and describe the actuator faults, respectively. An event-triggered control law is developed to reduce the communication burden from the controller to the actuator. Meanwhile, the barrier Lyapunov functions are constructed to guarantee that all the states of the stochastic nonlinear system are not to violate their constraints. Furthermore, an observer-based adaptive fuzzy event-triggered control strategy is proposed for the full-state-constrained nonlinear system with actuator faults based on backstepping technique, which can guarantee that all the signals in the closed-loop system are bounded and the tracking error converges to a small neighborhood of the origin in a finite time. Finally, simulation results are given to illustrate the effectiveness of the proposed control scheme.

[1]  Radu-Emil Precup,et al.  Grey Wolf Optimizer Algorithm-Based Tuning of Fuzzy Control Systems With Reduced Parametric Sensitivity , 2017, IEEE Transactions on Industrial Electronics.

[2]  Keng Peng Tee,et al.  Approximation-based control of nonlinear MIMO time-delay systems , 2007, Autom..

[3]  Yueying Wang,et al.  A sliding mode approach to stabilization of nonlinear Markovian jump singularly perturbed systems , 2018, Autom..

[4]  Yiannis S. Boutalis,et al.  Robust adaptive multiple models based fuzzy control of nonlinear systems , 2016, Neurocomputing.

[5]  Sung Jin Yoo,et al.  Distributed adaptive containment control of uncertain nonlinear multi-agent systems in strict-feedback form , 2013, Autom..

[6]  Hongyi Li,et al.  Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone , 2019, Autom..

[7]  Guang-Hong Yang,et al.  Adaptive asymptotic tracking control of uncertain nonlinear systems with input quantization and actuator faults , 2016, Autom..

[8]  Xiangpeng Xie,et al.  Adaptive Event-Triggered Fuzzy Control for Uncertain Active Suspension Systems , 2019, IEEE Transactions on Cybernetics.

[9]  Jesus Alberto Meda-Campana,et al.  Estimation of complex systems with parametric uncertainties using a JSSF heuristically adjusted. , 2018, IEEE Latin America Transactions.

[10]  Yanli Liu,et al.  Adaptive Fuzzy Fault-Tolerant Control for Uncertain Nonlinear Switched Stochastic Systems with Time-Varying Output Constraints , 2018, IEEE Transactions on Fuzzy Systems.

[11]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[12]  J. Besag,et al.  Bayesian Computation and Stochastic Systems , 1995 .

[13]  Mohammad Hassan Asemani,et al.  A Robust $H_{\infty}$ Non-PDC Design Scheme for Singularly Perturbed T–S Fuzzy Systems With Immeasurable State Variables , 2015, IEEE Transactions on Fuzzy Systems.

[14]  Bing Chen,et al.  Finite time control of switched stochastic nonlinear systems , 2019, Fuzzy Sets Syst..

[15]  Marcelo C. M. Teixeira,et al.  On Switched Regulator Design of Uncertain Nonlinear Systems Using Takagi–Sugeno Fuzzy Models , 2014, IEEE Transactions on Fuzzy Systems.

[16]  Stefan Preitl,et al.  Novel Adaptive Gravitational Search Algorithm for Fuzzy Controlled Servo Systems , 2012, IEEE Transactions on Industrial Informatics.

[17]  Hongye Su,et al.  Event-Triggered Adaptive Control for a Class of Uncertain Nonlinear Systems , 2017, IEEE Transactions on Automatic Control.

[18]  Li-Xin Wang,et al.  Stable adaptive fuzzy control of nonlinear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[19]  Chong Lin,et al.  Finite-Time Adaptive Fuzzy Tracking Control Design for Nonlinear Systems , 2018, IEEE Transactions on Fuzzy Systems.

[20]  Yang Yi,et al.  Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics , 2017, Autom..

[21]  Bing Chen,et al.  Observer and Adaptive Fuzzy Control Design for Nonlinear Strict-Feedback Systems With Unknown Virtual Control Coefficients , 2018, IEEE Transactions on Fuzzy Systems.

[22]  José de Jesús Rubio,et al.  Learning of operator hand movements via least angle regression to be teached in a manipulator , 2020, Evol. Syst..

[23]  Abdesselem Boulkroune,et al.  Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction , 2010, Fuzzy Sets Syst..

[24]  Shaocheng Tong,et al.  Adaptive control-based Barrier Lyapunov Functions for a class of stochastic nonlinear systems with full state constraints , 2018, Autom..

[25]  Nasser Hosseinzadeh,et al.  Load Frequency Control of a Multi-Area Power System: An Adaptive Fuzzy Logic Approach , 2014, IEEE Transactions on Power Systems.

[26]  José de Jesús Rubio,et al.  Discrete time control based in neural networks for pendulums , 2017, Appl. Soft Comput..

[27]  Hongjing Liang,et al.  Adaptive Event-Triggered Output Feedback Fuzzy Control for Nonlinear Networked Systems With Packet Dropouts and Actuator Failure , 2019, IEEE Transactions on Fuzzy Systems.

[28]  Zhong-Ping Jiang,et al.  Event-triggered control of nonlinear systems: A small-gain paradigm , 2017, 2017 13th IEEE International Conference on Control & Automation (ICCA).

[29]  Guang-Hong Yang,et al.  Fuzzy Adaptive Output Feedback Fault-Tolerant Tracking Control of a Class of Uncertain Nonlinear Systems With Nonaffine Nonlinear Faults , 2016, IEEE Transactions on Fuzzy Systems.

[30]  Qi Zhou,et al.  Observer-Based Event-Triggered Adaptive Decentralized Fuzzy Control for Nonlinear Large-Scale Systems , 2019, IEEE Transactions on Fuzzy Systems.

[31]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[32]  T. Basar,et al.  Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[33]  Yiannis S. Boutalis,et al.  Stable indirect adaptive switching control for fuzzy dynamical systems based on T–S multiple models , 2013, Int. J. Syst. Sci..

[34]  Hongjing Liang,et al.  Observer-Based Adaptive Fuzzy Fault-Tolerant Control for Stochastic Nonstrict-Feedback Nonlinear Systems With Input Quantization , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[35]  Hongjing Liang,et al.  Nussbaum gain adaptive backstepping control of nonlinear strict‐feedback systems with unmodeled dynamics and unknown dead zone , 2018, International Journal of Robust and Nonlinear Control.

[36]  Hongye Su,et al.  Adaptive compensation for actuator failures with event-triggered input , 2017, Autom..

[37]  J. A. Meda Estimation of complex systems with parametric uncertainties using a JSSF heuristically adjusted. , 2018 .

[38]  Sung Jin Yoo,et al.  Distributed Consensus Tracking for Multiple Uncertain Nonlinear Strict-Feedback Systems Under a Directed Graph , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[39]  Qi Zhou,et al.  Observer-Based Adaptive Event-Triggered Control for Nonstrict-Feedback Nonlinear Systems With Output Constraint and Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[40]  Mohamed Hamdy,et al.  Time-Varying Delay Compensation for a Class of Nonlinear Control Systems Over Network via $H_{\infty }$ Adaptive Fuzzy Controller , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.