Adaptive Fuzzy Output Feedback Control for Switched Nonlinear Systems With Unmodeled Dynamics

This paper investigates a robust adaptive fuzzy control stabilization problem for a class of uncertain nonlinear systems with arbitrary switching signals that use an observer-based output feedback scheme. The considered switched nonlinear systems possess the unstructured uncertainties, unmodeled dynamics, and without requiring the states being available for measurement. A state observer which is independent of switching signals is designed to solve the problem of unmeasured states. Fuzzy logic systems are used to identify unknown lumped nonlinear functions so that the problem of unstructured uncertainties can be solved. By combining adaptive backstepping design principle and small-gain approach, a novel robust adaptive fuzzy output feedback stabilization control approach is developed. The stability of the closed-loop system is proved via the common Lyapunov function theory and small-gain theorem. Finally, the simulation results are given to demonstrate the validity and performance of the proposed control strategy.

[1]  Ligang Wu,et al.  Filtering of Interval Type-2 Fuzzy Systems With Intermittent Measurements , 2016, IEEE Transactions on Cybernetics.

[2]  Yongming Li,et al.  Adaptive fuzzy backstepping robust control for uncertain nonlinear systems based on small-gain approach , 2010, Fuzzy Sets Syst..

[3]  Ligang Wu,et al.  Model Approximation for Fuzzy Switched Systems With Stochastic Perturbation , 2015, IEEE Transactions on Fuzzy Systems.

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

[5]  Licheng Jiao,et al.  Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

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

[8]  费树岷,et al.  Fuzzy approximation of a novel nonlinear adaptive switching controller design , 2015 .

[9]  Qing Zhu,et al.  Adaptive Fuzzy Control of Nonlinear Systems in Pure Feedback Form Based on Input-to-State Stability , 2010, IEEE Transactions on Fuzzy Systems.

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

[11]  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.

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

[13]  X. Liu,et al.  Adaptive Neural Control of Pure-Feedback Nonlinear Time-Delay Systems via Dynamic Surface Technique , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[15]  Dong Yue,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems via a Multi-Instant Homogenous Polynomial Approach , 2016, IEEE Transactions on Cybernetics.

[16]  Ligang Wu,et al.  Reliable Filtering With Strict Dissipativity for T-S Fuzzy Time-Delay Systems , 2014, IEEE Transactions on Cybernetics.

[17]  Shumin Fei,et al.  A Neural Network Approach for Tracking Control of Uncertain Switched Nonlinear Systems with Unknown Dead-Zone Input , 2015, Circuits, Systems, and Signal Processing.

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

[19]  Gang Sun,et al.  Distributed Neural Network Control for Adaptive Synchronization of Uncertain Dynamical Multiagent Systems , 2014, IEEE Transactions on Neural Networks and Learning Systems.

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

[21]  Shaocheng Tong,et al.  Direct adaptive fuzzy backstepping robust control for single input and single output uncertain nonlinear systems using small-gain approach , 2010, Inf. Sci..

[22]  Peng Shi,et al.  Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems , 2013, IEEE Transactions on Cybernetics.

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

[24]  Meng Joo Er,et al.  Dynamic Tanker Steering Control Using Generalized Ellipsoidal-Basis-Function-Based Fuzzy Neural Networks , 2015, IEEE Transactions on Fuzzy Systems.

[25]  Shaocheng Tong,et al.  Adaptive Fuzzy Robust Output Feedback Control of Nonlinear Systems With Unknown Dead Zones Based on a Small-Gain Approach , 2014, IEEE Transactions on Fuzzy Systems.

[26]  Shengyuan Xu,et al.  Adaptive Output-Feedback Fuzzy Tracking Control for a Class of Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

[27]  Jun Zhao,et al.  $H_{\infty}$ Control of Switched Nonlinear Systems in $p$-Normal Form Using Multiple Lyapunov Functions , 2012, IEEE Transactions on Automatic Control.

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

[29]  Zhongke Shi,et al.  Composite Neural Dynamic Surface Control of a Class of Uncertain Nonlinear Systems in Strict-Feedback Form , 2014, IEEE Transactions on Cybernetics.

[30]  Peng Shi,et al.  Robust adaptive output-feedback control for nonlinear system with output unmodeled dynamics, , 2008 .

[31]  Shun-Feng Su,et al.  Decomposed Fuzzy Systems and Their Application in Direct Adaptive Fuzzy Control , 2014, IEEE Transactions on Cybernetics.

[32]  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.

[33]  Zhong-Ping Jiang,et al.  A combined backstepping and small-gain approach to adaptive output feedback control , 1999, Autom..

[34]  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.

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

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

[37]  Yongduan Song,et al.  A novel approach to output feedback control of fuzzy stochastic systems , 2014, Autom..

[38]  Xin Chen,et al.  Adaptive Fuzzy Output-Feedback Controller Design for Nonlinear Systems via Backstepping and Small-Gain Approach , 2014, IEEE Transactions on Cybernetics.

[39]  Meng Joo Er,et al.  Enhanced Adaptive Fuzzy Control With Optimal Approximation Error Convergence , 2013, IEEE Transactions on Fuzzy Systems.

[40]  Jun Zhao,et al.  Stability and L2-gain analysis for switched delay systems: A delay-dependent method , 2006, Autom..

[41]  Dan Wang,et al.  Adaptive Dynamic Surface Control for Formations of Autonomous Surface Vehicles With Uncertain Dynamics , 2013, IEEE Transactions on Control Systems Technology.

[42]  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.