Adaptive Fuzzy Output Feedback Control for Switched Nonstrict-Feedback Nonlinear Systems With Input Nonlinearities

This paper studies adaptive fuzzy output feedback tracking control problem for nonstrict-feedback switched nonlinear systems. The switched systems under consideration contain unknown nonlinearities, unmeasured states, and unknown deadzones. Fuzzy logic systems are utilized to approximate the unknown nonlinearities, and a switched fuzzy state observer is designed, and thus, the immeasurable states are estimated via it. In the framework of observer-based output feedback control, and by using the certainty equivalence deadzone inverse, a novel adaptive fuzzy output feedback control design method with the parameters adaptation laws is developed. The stability of the closed-loop system and the convergence of the tracking error are proved based on Lyapunov function and the average dwell-time methods. Two simulation examples are provided to check the effectiveness of the proposed approach.

[1]  Weisheng Chen,et al.  Globally decentralized adaptive backstepping neural network tracking control for unknown nonlinear interconnected systems , 2009 .

[2]  Hyeongcheol Lee,et al.  Robust Adaptive Fuzzy Control by Backstepping for a Class of MIMO Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

[3]  Bing Chen,et al.  Approximation-based adaptive fuzzy control for a class of non-strict-feedback stochastic nonlinear systems , 2013, Science China Information Sciences.

[4]  Xin Chen,et al.  Adaptive Tracking Control for A Class of Nonlinear Systems With a Fuzzy Dead-Zone Input , 2015, IEEE Transactions on Fuzzy Systems.

[5]  Bing Chen,et al.  Neural-Based Adaptive Output-Feedback Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Systems , 2015, IEEE Transactions on Cybernetics.

[6]  Shuzhi Sam Ge,et al.  Adaptive neural control for a class of switched nonlinear systems , 2009, Syst. Control. Lett..

[7]  Yan Shi,et al.  Switched Fuzzy Output Feedback Control and Its Application to a Mass–Spring–Damping System , 2016, IEEE Transactions on Fuzzy Systems.

[8]  S. C. Tong,et al.  Adaptive Neural Network Decentralized Backstepping Output-Feedback Control for Nonlinear Large-Scale Systems With Time Delays , 2011, IEEE Transactions on Neural Networks.

[9]  Carla A. Schwartz,et al.  A minimum energy approach to switching control for mechanical systems , 1997 .

[10]  Shaocheng Tong,et al.  Fuzzy Adaptive Output Feedback Control of MIMO Nonlinear Systems With Partial Tracking Errors Constrained , 2015, IEEE Transactions on Fuzzy Systems.

[11]  Fei Long,et al.  Neural networks stabilization and disturbance attenuation for nonlinear switched impulsive systems , 2008, Neurocomputing.

[12]  Magdi S. Mahmoud,et al.  Robust Stability and Stabilization of a Class of Nonlinear Switched Discrete-Time Systems with Time-Varying Delays , 2009 .

[13]  Jun Zhao,et al.  Adaptive Output-Feedback Neural Control of Switched Uncertain Nonlinear Systems With Average Dwell Time , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[14]  李铁山 Adaptive fuzzy backstepping control design for a class of pure-feedback switched nonlinear systems , 2015 .

[15]  Shuzhi Sam Ge,et al.  Adaptive Fuzzy Control of a Class of Nonlinear Systems by Fuzzy Approximation Approach , 2012, IEEE Transactions on Fuzzy Systems.

[16]  Xin-Ping Guan,et al.  Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Time-Delay Systems With Unknown Control Direction , 2009, IEEE Trans. Syst. Man Cybern. Part B.

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

[18]  Bing Chen,et al.  Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping and application to chemical processes , 2005, IEEE Transactions on Fuzzy Systems.

[19]  Jenq-Lang Wu,et al.  Stabilizing controllers design for switched nonlinear systems in strict-feedback form , 2009, Autom..

[20]  Hak-Keung Lam,et al.  Observer-Based Fuzzy Control for Nonlinear Networked Systems Under Unmeasurable Premise Variables , 2016, IEEE Transactions on Fuzzy Systems.

[21]  Masayoshi Tomizuka,et al.  Adaptive robust control of MIMO nonlinear systems in semi-strict feedback forms , 2001, Autom..

[22]  Jin Bae Park,et al.  Neural-Network-Based Decentralized Adaptive Control for a Class of Large-Scale Nonlinear Systems With Unknown Time-Varying Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Jianbin Qiu,et al.  Adaptive Fuzzy Backstepping Control for A Class of Nonlinear Systems With Sampled and Delayed Measurements , 2015, IEEE Transactions on Fuzzy Systems.

[24]  Jun Zhao,et al.  Dissipativity Theory for Switched Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[25]  Qing-Guo Wang,et al.  Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Time-Delay Systems With Unknown Control Direction , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[26]  Jun Zhao,et al.  Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings , 2010, Autom..

[27]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control - design and stability analysis , 1994 .

[28]  Man Ieee Systems,et al.  IEEE transactions on systems, man and cybernetics. Part B, Cybernetics , 1996 .

[29]  Huaguang Zhang,et al.  Approximation-Based Adaptive Neural Control Design for a Class of Nonlinear Systems , 2014, IEEE Transactions on Cybernetics.

[30]  Shaocheng Tong,et al.  Observed-Based Adaptive Fuzzy Tracking Control for Switched Nonlinear Systems With Dead-Zone , 2015, IEEE Transactions on Cybernetics.

[31]  Magdi S. Mahmoud,et al.  Switched Time-Delay Systems , 2010 .

[32]  Gang Feng,et al.  A combined backstepping and small-gain approach to robust adaptive fuzzy control for strict-feedback nonlinear systems , 2004, IEEE Trans. Syst. Man Cybern. Part A.

[33]  Fei Long,et al.  Multilayer neural networks-based direct adaptive control for switched nonlinear systems , 2010, Neurocomputing.

[34]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Control of MIMO Nonlinear Systems With Unknown Dead-Zone Inputs , 2013, IEEE Transactions on Fuzzy Systems.

[35]  Shuzhi Sam Ge,et al.  Adaptive Neural Network Tracking Control of MIMO Nonlinear Systems With Unknown Dead Zones and Control Directions , 2009, IEEE Transactions on Neural Networks.

[36]  Jang Myung Lee,et al.  Precise Positioning of Nonsmooth Dynamic Systems Using Fuzzy Wavelet Echo State Networks and Dynamic Surface Sliding Mode Control , 2013, IEEE Transactions on Industrial Electronics.

[37]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[38]  Shengyuan Xu,et al.  Adaptive Output Feedback Control for Nonlinear Time-Delay Systems by Fuzzy Approximation Approach , 2013, IEEE Transactions on Fuzzy Systems.

[39]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..

[40]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Tracking Backstepping Control of Strict-Feedback Nonlinear Systems With Unknown Dead Zones , 2012, IEEE Transactions on Fuzzy Systems.

[41]  Fei Long,et al.  Adaptive Neural Network Control for Switched System with Unknown Nonlinear Part by Using Backstepping Approach: SISO Case , 2006, ISNN.

[42]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[43]  Min Tan,et al.  Adaptive Control of a Class of Nonlinear Pure-Feedback Systems Using Fuzzy Backstepping Approach , 2008, IEEE Transactions on Fuzzy Systems.

[44]  Wei Xing Zheng,et al.  Exponential Stability Analysis for Delayed Neural Networks With Switching Parameters: Average Dwell Time Approach , 2010, IEEE Transactions on Neural Networks.

[45]  Magdi S. Mahmoud,et al.  Adaptive control of systems with mismatched non-linearities and time-varying delays using state measurements , 2010 .

[46]  Shaocheng Tong,et al.  Adaptive fuzzy backstepping control for a class of MIMO switched nonlinear systems with unknown control directions , 2016, Complex..

[47]  Bing Chen,et al.  Adaptive Neural Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Systems With Unknown Backlash-Like Hysteresis , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[48]  Shaocheng Tong,et al.  Observer-based fuzzy adaptive control for strict-feedback nonlinear systems , 2009, Fuzzy Sets Syst..

[49]  Shaocheng Tong,et al.  Observed-Based Adaptive Fuzzy Decentralized Tracking Control for Switched Uncertain Nonlinear Large-Scale Systems With Dead Zones , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[50]  Tong Shao-cheng,et al.  Fuzzy adaptive observer backstepping control for MIMO nonlinear systems , 2009 .