Adaptive Fuzzy Optimal Control for Switched Nonlinear Systems With Output Hysteresis

This article investigates a class of switched nonlinear systems with output hysteresis, where the switching signal is arbitrary. The considered output hysteresis nonlinearity is captured by the Bouc-Wen model, which causes an uncertain gain that imposes a significant challenge on our control design. To overcome this problem, we propose an adaptive fuzzy optimal control scheme. In our scheme, the Nussbaum gain technique is used to compensate for output hysteresis, and, at each iteration, the actor-critic structure is progressively feedback and adjusted to design the optimal controller. Finally, our proposed design scheme can guarantee the stability of the nonlinear switched systems, which is demonstrated in the simulation results.

[1]  Zhi Liu,et al.  Optimized adaptive consensus tracking control for uncertain nonlinear multiagent systems using a new event-triggered communication mechanism , 2022, Inf. Sci..

[2]  Yun Zhang,et al.  Adaptive inverse optimal consensus control for uncertain high-order multiagent systems with actuator and sensor failures , 2022, Inf. Sci..

[3]  Ding Wang,et al.  The intelligent critic framework for advanced optimal control , 2022, Artif. Intell. Rev..

[4]  Ding Wang,et al.  Neuro-Optimal Trajectory Tracking With Value Iteration of Discrete-Time Nonlinear Dynamics , 2021, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Zhi Liu,et al.  Adaptive neural inverse optimal tracking control for uncertain multi-agent systems , 2021, Inf. Sci..

[6]  Fang Wang,et al.  Finite-time adaptive neural control of nonlinear systems with unknown output hysteresis , 2021, Appl. Math. Comput..

[7]  Junfei Qiao,et al.  Data-Driven Iterative Adaptive Critic Control Toward an Urban Wastewater Treatment Plant , 2021, IEEE Transactions on Industrial Electronics.

[8]  Yongming Li,et al.  Fuzzy Adaptive Optimal Consensus Fault-Tolerant Control for Stochastic Nonlinear Multiagent Systems , 2021, IEEE Transactions on Fuzzy Systems.

[9]  Zhi Liu,et al.  Adaptive neural control for uncertain switched nonlinear systems with a switched filter-contained hysteretic quantizer , 2021, Inf. Sci..

[10]  Yingnan Pan,et al.  Event-Triggered Adaptive Fuzzy Control for Stochastic Nonlinear Systems With Unmeasured States and Unknown Backlash-Like Hysteresis , 2021, IEEE Transactions on Fuzzy Systems.

[11]  Hamidreza Modares,et al.  Robust Actor–Critic Learning for Continuous-Time Nonlinear Systems With Unmodeled Dynamics , 2021, IEEE Transactions on Fuzzy Systems.

[12]  Zhi Liu,et al.  Inverse Optimal Design of Direct Adaptive Fuzzy Controllers for Uncertain Nonlinear Systems , 2021, IEEE Transactions on Fuzzy Systems.

[13]  Yan Zhang,et al.  Fast finite time adaptive neural network control for a class of uncertain nonlinear systems subject to unmodeled dynamics , 2021, Inf. Sci..

[14]  Jinpeng Yu,et al.  Neural network-based finite-time adaptive tracking control of nonstrict-feedback nonlinear systems with actuator failures , 2021, Inf. Sci..

[15]  Yun Zhang,et al.  Adaptive neural asymptotic control for uncertain nonlinear multiagent systems with a fuzzy dead zone constraint , 2020, Fuzzy Sets Syst..

[16]  Yiguang Hong,et al.  Small-Gain Theorem for Safety Verification of Interconnected Systems , 2020, Autom..

[17]  Yaonan Wang,et al.  Resilient Adaptive Neural Control for Uncertain Nonlinear Systems With Infinite Number of Time-Varying Actuator Failures , 2020, IEEE Transactions on Cybernetics.

[18]  Wei He,et al.  Neural Control of Robot Manipulators With Trajectory Tracking Constraints and Input Saturation , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[19]  Shuzhi Sam Ge,et al.  Simplified Optimized Backstepping Control for a Class of Nonlinear Strict-Feedback Systems With Unknown Dynamic Functions , 2020, IEEE Transactions on Cybernetics.

[20]  Guo-Xing Wen,et al.  Simplified optimized control using reinforcement learning algorithm for a class of stochastic nonlinear systems , 2020, Inf. Sci..

[21]  Yun Zhang,et al.  Indirect Fuzzy Control of Nonlinear Systems With Unknown Input and State Hysteresis Using an Alternative Adaptive Inverse , 2019, IEEE Transactions on Fuzzy Systems.

[22]  Fuad E. Alsaadi,et al.  Adaptive Neural-Network-Based Dynamic Surface Control for Stochastic Interconnected Nonlinear Nonstrict-Feedback Systems With Dead Zone , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[23]  Mohamed Hamdy,et al.  Enhanced L1 adaptive control for a benchmark piezoelectric‐actuated system via fuzzy approximation , 2019, International Journal of Adaptive Control and Signal Processing.

[24]  C. L. Philip Chen,et al.  Adaptive neural control for switched nonlinear systems with unmodeled dynamics and unknown output hysteresis , 2019, Neurocomputing.

[25]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Fault-Tolerant Optimal Control for SISO Nonlinear Systems , 2019, IEEE Transactions on Cybernetics.

[26]  Xiaoguang Liu,et al.  Optimized Adaptive Nonlinear Tracking Control Using Actor–Critic Reinforcement Learning Strategy , 2019, IEEE Transactions on Industrial Informatics.

[27]  Le Anh Tuan,et al.  Adaptive neural network sliding mode control of shipboard container cranes considering actuator backlash , 2018, Mechanical Systems and Signal Processing.

[28]  Mohamed Hamdy,et al.  Adaptive Fuzzy Predictive Controller for a Class of Networked Nonlinear Systems With Time-Varying Delay , 2018, IEEE Transactions on Fuzzy Systems.

[29]  Hongxing Wang,et al.  Adaptive fuzzy control for a class of unknown fractional-order neural networks subject to input nonlinearities and dead-zones , 2018, Inf. Sci..

[30]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Decentralized Optimal Control Design for Strict-Feedback Nonlinear Large-Scale Systems , 2018, IEEE Transactions on Fuzzy Systems.

[31]  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.

[32]  Shaocheng Tong,et al.  Command-Filtered-Based Fuzzy Adaptive Control Design for MIMO-Switched Nonstrict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Fuzzy Systems.

[33]  Mohamed Hamdy,et al.  Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash-like hysteresis , 2017, Int. J. Syst. Sci..

[34]  C. L. Philip Chen,et al.  Asymmetric Actuator Backlash Compensation in Quantized Adaptive Control of Uncertain Networked Nonlinear Systems , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[35]  Changyin Sun,et al.  Adaptive Neural Impedance Control of a Robotic Manipulator With Input Saturation , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[36]  C. L. Philip Chen,et al.  Fuzzy Adaptive Quantized Control for a Class of Stochastic Nonlinear Uncertain Systems , 2016, IEEE Transactions on Cybernetics.

[37]  Bing Chen,et al.  Adaptive Fuzzy Tracking Control for a Class of MIMO Nonlinear Systems in Nonstrict-Feedback Form , 2015, IEEE Transactions on Cybernetics.

[38]  Sarangapani Jagannathan,et al.  Optimal Control of Nonlinear Continuous-Time Systems in Strict-Feedback Form , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[39]  C. L. Philip Chen,et al.  Adaptive Neural Output Feedback Control of Output-Constrained Nonlinear Systems With Unknown Output Nonlinearity , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[40]  Shaocheng Tong,et al.  Adaptive fuzzy output feedback control of MIMO nonlinear uncertain systems with time-varying delays and unknown backlash-like hysteresis , 2012, Neurocomputing.

[41]  Tieshan Li,et al.  Adaptive Output Feedback Control of Uncertain Nonlinear Systems With Hysteresis Nonlinearity , 2012, IEEE Transactions on Automatic Control.

[42]  Jing Zhou,et al.  Robust Adaptive Control of Uncertain Nonlinear Systems in the Presence of Input Saturation and External Disturbance , 2011, IEEE Transactions on Automatic Control.

[43]  Shaocheng Tong,et al.  Fuzzy-Adaptive Decentralized Output-Feedback Control for Large-Scale Nonlinear Systems With Dynamical Uncertainties , 2010, IEEE Transactions on Fuzzy Systems.

[44]  Jozef Vörös,et al.  Modeling and identification of systems with backlash , 2010, Autom..

[45]  Claudio De Persis,et al.  Discontinuities and hysteresis in quantized average consensus , 2010, Autom..

[46]  Shuzhi Sam Ge,et al.  Adaptive Neural Control for a Class of Uncertain Nonlinear Systems in Pure-Feedback Form With Hysteresis Input , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[47]  Chun-Yi Su,et al.  Adaptive tracking of nonlinear systems with non-symmetric dead-zone input , 2007, Autom..

[48]  Subhash Rakheja,et al.  Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis , 2005, IEEE Transactions on Automatic Control.

[49]  C. Wen,et al.  Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis , 2004, IEEE Transactions on Automatic Control.

[50]  Shaocheng Tong,et al.  Fuzzy adaptive sliding-mode control for MIMO nonlinear systems , 2003, IEEE Trans. Fuzzy Syst..

[51]  G. Tao,et al.  Adaptive control of plants with unknown hystereses , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[52]  Peter Kuster,et al.  Nonlinear And Adaptive Control Design , 2016 .

[53]  Jie Zhang,et al.  Modeling and optimal control of batch processes using recurrent neuro-fuzzy networks , 2005, IEEE Transactions on Fuzzy Systems.