Adaptive Neural Network Control Scheme of Switched Systems with Input Saturation

This paper investigates a scheme of adaptive neural network control for a stochastic switched system with input saturation. The unknown smooth nonlinear functions are approximated directly by neural networks. A modified approach is proposed to deal with unknown functions with nonstrict feedback form in the design process. Furthermore, by combining the auxiliary design signal and the adaptive backstepping design, a valid adaptive neural tracking controller design algorithm is presented such that all the signals of the switched closed-loop system are in probability semiglobally, uniformly, and ultimately bounded, and the tracking error eventually converges to a small neighborhood of the origin in probability. In the end, the effectiveness of the proposed method is verified by a simulation example.

[1]  Huanqing Wang,et al.  Adaptive neural control for non-strict-feedback nonlinear systems with input delay , 2020, Inf. Sci..

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

[3]  Shaocheng Tong,et al.  Composite Adaptive Fuzzy Output Feedback Control Design for Uncertain Nonlinear Strict-Feedback Systems With Input Saturation , 2015, IEEE Transactions on Cybernetics.

[4]  Guang-Hong Yang,et al.  Adaptive fuzzy decentralized control fora class of large-scale nonlinear systems , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Peter Xiaoping Liu,et al.  Adaptive Fuzzy Finite-Time Control of Nonlinear Systems With Actuator Faults , 2020, IEEE Transactions on Cybernetics.

[6]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[7]  Lijie Wang,et al.  Adaptive Fuzzy Control of Nonlinear Systems With Unmodeled Dynamics and Input Saturation Using Small-Gain Approach , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  ZhangLixian,et al.  Switched model predictive control of switched linear systems , 2016 .

[9]  Ben Niu,et al.  Global adaptive control of switched uncertain nonlinear systems: An improved MDADT method , 2020, Autom..

[10]  Shaocheng Tong,et al.  Neural Controller Design-Based Adaptive Control for Nonlinear MIMO Systems With Unknown Hysteresis Inputs , 2016, IEEE Transactions on Cybernetics.

[11]  L X Wang,et al.  Fuzzy basis functions, universal approximation, and orthogonal least-squares learning , 1992, IEEE Trans. Neural Networks.

[12]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  Abdesselem Boulkroune,et al.  Adaptive Fuzzy Backstepping Tracking Control for Strict-Feedback Systems With Input Delay , 2017, IEEE Transactions on Fuzzy Systems.

[14]  Yongduan Song,et al.  Fault Detection Filtering for Nonlinear Switched Stochastic Systems , 2016, IEEE Transactions on Automatic Control.

[15]  Fuad E. Alsaadi,et al.  A Novel Neural-Network-Based Adaptive Control Scheme for Output-Constrained Stochastic Switched Nonlinear Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[16]  Huanqing Wang,et al.  Adaptive neural tracking control of nonlinear stochastic switched non-lower triangular systems with input saturation , 2019, Neurocomputing.

[17]  Richard D. Braatz,et al.  Switched model predictive control of switched linear systems: Feasibility, stability and robustness , 2016, Autom..

[18]  Xin Yu,et al.  Output Feedback Regulation of Stochastic Nonlinear Systems With Stochastic iISS Inverse Dynamics , 2010, IEEE Transactions on Automatic Control.

[19]  Lu Bai,et al.  Adaptive Neural Control of Uncertain Nonstrict-Feedback Stochastic Nonlinear Systems with Output Constraint and Unknown Dead Zone , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  Jin Zhang,et al.  Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback , 2003, IEEE Trans. Neural Networks.

[21]  M. Bensoubaya,et al.  Global stabilization of stochastic nonlinear systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[22]  Jing Zhang,et al.  Finite-Time Adaptive Fuzzy Control for Nonlinear Systems With Full State Constraints , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[23]  Jing Zhang,et al.  Command Filter-Based Adaptive Fuzzy Control for Nonlinear Systems With Unknown Control Directions , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[24]  Guo-Xing Wen,et al.  Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems , 2016, IEEE Transactions on Cybernetics.

[25]  Ming Liu,et al.  Global adaptive stabilization of stochastic high-order switched nonlinear non-lower triangular systems , 2020, Syst. Control. Lett..

[26]  Guo-Xing Wen,et al.  Fuzzy Neural Network-Based Adaptive Control for a Class of Uncertain Nonlinear Stochastic Systems , 2014, IEEE Transactions on Cybernetics.

[27]  Yanjun Liu,et al.  Multiple Lyapunov Functions for Adaptive Neural Tracking Control of Switched Nonlinear Nonlower-Triangular Systems , 2020, IEEE Transactions on Cybernetics.

[28]  Quanxin Zhu,et al.  Global Stabilization of a Class of Stochastic Nonlinear Time-Delay Systems With SISS Inverse Dynamics , 2020, IEEE Transactions on Automatic Control.

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

[30]  Quanxin Zhu,et al.  Global Stabilization of Stochastic Nonlinear Systems Via $C^1$ and $C^{\infty }$ Controllers , 2017, IEEE Transactions on Automatic Control.

[31]  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.

[32]  Antonio T. Alexandridis,et al.  NN-Based Adaptive Tracking Control of Uncertain Nonlinear Systems Disturbed by Unknown Covariance Noise , 2007, IEEE Transactions on Neural Networks.

[33]  Hongjing Liang,et al.  Adaptive Fuzzy Event-Triggered Control for Stochastic Nonlinear Systems With Full State Constraints and Actuator Faults , 2019, IEEE Transactions on Fuzzy Systems.

[34]  Hui Wang,et al.  Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form , 2015, Autom..

[35]  Quanxin Zhu,et al.  Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control , 2019, IEEE Transactions on Automatic Control.

[36]  Quanxin Zhu,et al.  Stability analysis of semi-Markov switched stochastic systems , 2018, Autom..

[37]  Matthew C. Turner,et al.  Antiwindup for stable linear systems with input saturation: an LMI-based synthesis , 2003, IEEE Trans. Autom. Control..

[38]  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.

[39]  Liang Liu,et al.  Decentralized adaptive approximation-based fuzzy output-feedback control of uncertain switched stochastic interconnected nonlinear systems , 2017, J. Frankl. Inst..

[40]  Peng Shi,et al.  Two equivalent sets: Application to singular systems , 2017, Autom..

[41]  Lu Bai,et al.  Adaptive Fuzzy Control of Stochastic Nonstrict-Feedback Nonlinear Systems With Input Saturation , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[42]  Shengyuan Xu,et al.  Neural-Network-Based Decentralized Adaptive Output-Feedback Control for Large-Scale Stochastic Nonlinear Systems , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[43]  Manfred Morari,et al.  Multivariable anti-windup controller synthesis using linear matrix inequalities , 2001, Autom..

[44]  Jianbin Qiu,et al.  Descriptor reduced-order sliding mode observers design for switched systems with sensor and actuator faults , 2017, Autom..

[45]  Hui Wang,et al.  Adaptive output feedback control of stochastic nonholonomic systems with nonlinear parameterization , 2018, Autom..

[46]  Hui Wang,et al.  Output feedback stabilization of stochastic feedforward systems with unknown control coefficients and unknown output function , 2018, Autom..

[47]  Peter Xiaoping Liu,et al.  Adaptive Neural Output-Feedback Decentralized Control for Large-Scale Nonlinear Systems With Stochastic Disturbances , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[48]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Constrained Fault-Tolerant Control of Nonlinear Stochastic Large-Scale Systems With Actuator Faults , 2017, IEEE Transactions on Cybernetics.