Command Filtering-Based Fuzzy Control for Nonlinear Systems With Saturation Input

In this paper, command filtering-based fuzzy control is designed for uncertain multi-input multioutput (MIMO) nonlinear systems with saturation nonlinearity input. First, the command filtering method is employed to deal with the explosion of complexity caused by the derivative of virtual controllers. Then, fuzzy logic systems are utilized to approximate the nonlinear functions of MIMO systems. Furthermore, error compensation mechanism is introduced to overcome the drawback of the dynamics surface approach. The developed method will guarantee all signals of the systems are bounded. The effectiveness and advantages of the theoretic result are obtained by a simulation example.

[1]  Chong Lin,et al.  Reduced-order observer-based adaptive fuzzy tracking control for chaotic permanent magnet synchronous motors , 2016, Neurocomputing.

[2]  Yongming Li,et al.  Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of MIMO Nonlinear Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[3]  Bin Jiang,et al.  Adaptive Fuzzy Observer-Based Active Fault-Tolerant Dynamic Surface Control for a Class of Nonlinear Systems With Actuator Faults , 2014, IEEE Transactions on Fuzzy Systems.

[4]  Shuzhi Sam Ge,et al.  Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems With Input Nonlinearities , 2010, IEEE Transactions on Neural Networks.

[5]  Alexandra Moutinho,et al.  Hover Control of an UAV With Backstepping Design Including Input Saturations , 2008, IEEE Transactions on Control Systems Technology.

[6]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Tracking Control of MIMO Stochastic Nonlinear Systems With Unknown Control Directions and Unknown Dead Zones , 2015, IEEE Transactions on Fuzzy Systems.

[7]  Hamid Reza Karimi,et al.  Robust Observer Design for Unknown Inputs Takagi–Sugeno Models , 2013, IEEE Transactions on Fuzzy Systems.

[8]  Marios M. Polycarpou,et al.  Command filtered backstepping , 2009, 2008 American Control Conference.

[9]  Peng Li,et al.  Adaptive Dynamic Surface Control of a Class of Nonlinear Systems With Unknown Direction Control Gains and Input Saturation , 2015, IEEE Transactions on Cybernetics.

[10]  Bing Chen,et al.  Approximation-Based Discrete-Time Adaptive Position Tracking Control for Interior Permanent Magnet Synchronous Motors , 2015, IEEE Transactions on Cybernetics.

[11]  L. Jiao,et al.  Brief Paper: Output-feedback adaptive dynamic surface control of stochastic non-linear systems using neural network , 2010 .

[12]  Shuzhi Sam Ge,et al.  Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form , 2008, Autom..

[14]  Gang Tao,et al.  Dynamic Surface Control Using Neural Networks for a Class of Uncertain Nonlinear Systems With Input Saturation , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Dan Wang,et al.  Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form , 2005, IEEE Transactions on Neural Networks.

[16]  Shaocheng Tong,et al.  Adaptive Fuzzy Control for a Class of Nonlinear Discrete-Time Systems With Backlash , 2014, IEEE Transactions on Fuzzy Systems.

[17]  C. L. Philip Chen,et al.  Adaptive Quantized Controller Design Via Backstepping and Stochastic Small-Gain Approach , 2016, IEEE Transactions on Fuzzy Systems.

[18]  Shaocheng Tong,et al.  Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems , 2017, Autom..

[19]  Dong Yue,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems: Reducing the Conservatism Whilst Alleviating the Computational Burden , 2017, IEEE Transactions on Cybernetics.

[20]  Shaocheng Tong,et al.  A Novel Robust Adaptive-Fuzzy-Tracking Control for a Class of NonlinearMulti-Input/Multi-Output Systems , 2010, IEEE Transactions on Fuzzy Systems.

[21]  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.

[22]  Bing Chen,et al.  Robust Adaptive Fuzzy Tracking Control for Pure-Feedback Stochastic Nonlinear Systems With Input Constraints , 2013, IEEE Transactions on Cybernetics.

[23]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Tracking Control of MIMO Nonlinear Uncertain Systems , 2007, IEEE Transactions on Fuzzy Systems.

[24]  Mohammed Chadli,et al.  LMI Solution for Robust Static Output Feedback Control of Discrete Takagi–Sugeno Fuzzy Models , 2012, IEEE Transactions on Fuzzy Systems.

[25]  Haisheng Yu,et al.  Adaptive fuzzy dynamic surface control for induction motors with iron losses in electric vehicle drive systems via backstepping , 2017, Inf. Sci..

[26]  Ligang Wu,et al.  Fuzzy Tracking Control for Nonlinear Networked Systems , 2017, IEEE Transactions on Cybernetics.

[27]  Dan Wang,et al.  Neural-network-based simple adaptive control of uncertain multi-input multi-output non-linear systems , 2010 .

[28]  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.

[29]  Bing Chen,et al.  Neural Network-Based Adaptive Dynamic Surface Control for Permanent Magnet Synchronous Motors , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Bing Chen,et al.  Position tracking control of induction motors via adaptive fuzzy backstepping , 2010 .

[31]  Shaocheng Tong,et al.  A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  Shaocheng Tong,et al.  Fuzzy Adaptive Control With State Observer for a Class of Nonlinear Discrete-Time Systems With Input Constraint , 2016, IEEE Transactions on Fuzzy Systems.

[33]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Dynamic Surface Control of Interconnected Nonlinear Pure-Feedback Systems , 2015, IEEE Transactions on Cybernetics.

[34]  Shaocheng Tong,et al.  A Combined Backstepping and Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control , 2009, IEEE Transactions on Fuzzy Systems.

[35]  Shaocheng Tong,et al.  Fuzzy Adaptive Actuator Failure Compensation Control of Uncertain Stochastic Nonlinear Systems With Unmodeled Dynamics , 2014, IEEE Transactions on Fuzzy Systems.

[36]  Dong Ye,et al.  Robust Filtering for a Class of Networked Nonlinear Systems With Switching Communication Channels , 2017, IEEE Transactions on Cybernetics.

[37]  Chong Lin,et al.  Adaptive Fuzzy Control of Nonlinear Systems With Unknown Dead Zones Based on Command Filtering , 2018, IEEE Transactions on Fuzzy Systems.

[38]  Ligang Wu,et al.  Observer-based adaptive sliding mode control for nonlinear Markovian jump systems , 2016, Autom..

[39]  Shaocheng Tong,et al.  Adaptive Fuzzy Control Design for Stochastic Nonlinear Switched Systems With Arbitrary Switchings and Unmodeled Dynamics , 2017, IEEE Transactions on Cybernetics.

[40]  Peng Shi,et al.  Observer and Command-Filter-Based Adaptive Fuzzy Output Feedback Control of Uncertain Nonlinear Systems , 2015, IEEE Transactions on Industrial Electronics.

[41]  Marios M. Polycarpou,et al.  Command filtered adaptive backstepping , 2010, Proceedings of the 2010 American Control Conference.

[42]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Backstepping Output Feedback Control of Uncertain MIMO Pure-Feedback Nonlinear Systems , 2012, IEEE Transactions on Fuzzy Systems.

[43]  Xin Chen,et al.  Adaptive Neural Control for a Class of Nonlinear Time-Varying Delay Systems With Unknown Hysteresis , 2014, IEEE Transactions on Neural Networks and Learning Systems.