Finite-Time Adaptive Fuzzy DSC for Uncertain Switched Systems

The finite-time adaptive fuzzy tracking control problem for a class of strict-feedback uncertain switched systems is investigated in this paper. Based on fuzzy approximation and adaptive dynamic surface control (DSC) technique, a finite-time adaptive state feedback fuzzy controller is developed via the common Lyapunov functions. Different from the existing works on uncertain switched systems, the DSC control scheme is developed based on a nonlinear filter to solve the “explosion of complexity” problem, and the structure of the proposed fuzzy controller is simple. Under the designed controller, all the signals of the closed-loop system remain semi-globally bounded, and within a finite-time interval, the system tracking error converges to an arbitrarily small region. That is, the semi-globally practical finite-time stability of the controlled system is guaranteed. To show the availability of the presented control scheme, a simulation example is given in this paper.

[1]  Jie Huang,et al.  On an output feedback finite-time stabilization problem , 2001, IEEE Trans. Autom. Control..

[2]  Zhengrong Xiang,et al.  Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers , 2016, Autom..

[3]  Xin-Ping Guan,et al.  Finite/Fixed-Time Stabilization for Nonlinear Interconnected Systems With Dead-Zone Input , 2017, IEEE Transactions on Automatic Control.

[4]  Hongjing Liang,et al.  Event-Triggered Fuzzy Bipartite Tracking Control for Network Systems Based on Distributed Reduced-Order Observers , 2021, IEEE Transactions on Fuzzy Systems.

[5]  Liang Liu,et al.  Adaptive tracking control for a class of uncertain switched nonlinear systems , 2015, Autom..

[6]  Francesco Amato,et al.  Finite-time stability of linear time-varying systems with jumps , 2009, Autom..

[7]  Mingjie Cai,et al.  Adaptive neural finite-time control for a class of switched nonlinear systems , 2015, Neurocomputing.

[8]  Wilfrid Perruquetti,et al.  Finite-time stability and stabilization of time-delay systems , 2008, Syst. Control. Lett..

[9]  Yongming Li,et al.  Adaptive Neural Networks Finite-Time Optimal Control for a Class of Nonlinear Systems , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[10]  Ji Li,et al.  Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems , 2010, Int. J. Control.

[11]  Yiguang Hong,et al.  Adaptive finite-time control of nonlinear systems with parametric uncertainty , 2006, IEEE Transactions on Automatic Control.

[12]  Zheng-Guang Wu,et al.  Practical Adaptive Fuzzy Control of Nonlinear Pure-Feedback Systems With Quantized Nonlinearity Input , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems: Analysis and design conditions , 2010, Autom..

[14]  Xinghuo Yu,et al.  Continuous Finite-Time Output Regulation for Disturbed Systems Under Mismatching Condition , 2015, IEEE Transactions on Automatic Control.

[15]  Yanjun Shen.  Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance , 2008 .

[16]  Tieshan Li,et al.  Prescribed Performance Adaptive Fuzzy Containment Control for Nonlinear Multiagent Systems Using Disturbance Observer , 2020, IEEE Transactions on Cybernetics.

[17]  Y. ORLOV,et al.  Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems , 2004, SIAM J. Control. Optim..

[18]  Hongjing Liang,et al.  Observer-Based Event-Triggered Fuzzy Adaptive Bipartite Containment Control of Multiagent Systems With Input Quantization , 2019, IEEE Transactions on Fuzzy Systems.

[19]  Yongduan Song,et al.  Design of adaptive finite-time controllers for nonlinear uncertain systems based on given transient specifications , 2016, Autom..

[20]  Yong‐Hua Liu,et al.  Adaptive dynamic surface asymptotic tracking for a class of uncertain nonlinear systems , 2018 .

[21]  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.

[22]  Lu Li,et al.  Adaptive Backstepping-Based Neural Tracking Control for MIMO Nonlinear Switched Systems Subject to Input Delays , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[23]  Bing Chen,et al.  Finite-Time Adaptive Control for a Class of Nonlinear Systems With Nonstrict Feedback Structure , 2018, IEEE Transactions on Cybernetics.

[24]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[25]  S. Mobayen,et al.  Adaptive finite-time tracking control of uncertain non-linear n-order systems with unmatched uncertainties , 2016 .

[26]  Yuanqing Xia,et al.  Attitude stabilization of rigid spacecraft with finite‐time convergence , 2011 .

[27]  Zhong-Ping Jiang,et al.  Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties , 2006, IEEE Transactions on Automatic Control.

[28]  Fuad E. Alsaadi,et al.  New results on robust finite-time boundedness of uncertain switched neural networks with time-varying delays , 2015, Neurocomputing.

[29]  Francesco Amato,et al.  Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design , 2010, IEEE Transactions on Automatic Control.

[30]  Jinde Cao,et al.  Finite-time synchronization of uncertain coupled switched neural networks under asynchronous switching , 2017, Neural Networks.

[31]  Shaocheng Tong,et al.  Adaptive Neural Network Finite-Time Control for Multi-Input and Multi-Output Nonlinear Systems With Positive Powers of Odd Rational Numbers , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Hak-Keung Lam,et al.  Fault Detection for Fuzzy Semi-Markov Jump Systems Based on Interval Type-2 Fuzzy Approach , 2020, IEEE Transactions on Fuzzy Systems.

[33]  Shaocheng Tong,et al.  Neural Networks-Based Adaptive Finite-Time Fault-Tolerant Control for a Class of Strict-Feedback Switched Nonlinear Systems , 2019, IEEE Transactions on Cybernetics.

[34]  Hamid Reza Karimi,et al.  Adaptive Output-Feedback Controller Design for Switched Nonlinear Stochastic Systems With a Modified Average Dwell-Time Method , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[35]  Shaocheng Tong,et al.  Fuzzy Adaptive Control Design Strategy of Nonlinear Switched Large-Scale Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[36]  Zhihong Man,et al.  Finite-time stability theorems of homogeneous stochastic nonlinear systems , 2017, Syst. Control. Lett..

[37]  Yungang Liu,et al.  Global Finite-Time Stabilization via Time-Varying Feedback for Uncertain Nonlinear Systems , 2014, SIAM J. Control. Optim..

[38]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[39]  Leonid M. Fridman,et al.  Finite-time state observation for non-linear uncertain systems via higher-order sliding modes , 2009, Int. J. Control.

[40]  Weisheng Chen,et al.  Global finite-time adaptive stabilization for nonlinear systems with multiple unknown control directions , 2016, Autom..

[41]  Kemei Zhang,et al.  A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system , 2015, Autom..

[42]  Weisheng Chen,et al.  Global Finite-Time Adaptive Stabilization of Nonlinearly Parametrized Systems With Multiple Unknown Control Directions , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[43]  Hongyi Li,et al.  Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone , 2019, Autom..

[44]  Shaocheng Tong,et al.  Neural Network Filtering Control Design for Nontriangular Structure Switched Nonlinear Systems in Finite Time , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[45]  Shaocheng Tong,et al.  Adaptive Neural Networks Prescribed Performance Control Design for Switched Interconnected Uncertain Nonlinear Systems , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[46]  Gianmaria De Tommasi,et al.  Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems , 2009, IEEE Transactions on Automatic Control.

[47]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[48]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Tracking Control for Strict-Feedback Nonlinear Systems With Unknown Control Gain Functions , 2020, IEEE Transactions on Cybernetics.

[49]  Jinde Cao,et al.  Finite-time boundedness and stabilization of uncertain switched neural networks with time-varying delay , 2015, Neural Networks.

[50]  Zhengrong Xiang,et al.  Adaptive finite-time stabilization of a class of switched nonlinear systems using neural networks , 2016, Neurocomputing.

[51]  Hongjing Liang,et al.  Containment Control of Semi-Markovian Multiagent Systems With Switching Topologies , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[52]  M. Mahmoud,et al.  Robust finite-time H∞ control for a class of uncertain switched neutral systems , 2012 .

[53]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Feedback Stabilization Control for a Class of Switched Nonstrict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Cybernetics.

[54]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[55]  Yongduan Song,et al.  Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems , 2015, Autom..

[56]  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.

[57]  Jun Zhao,et al.  Adaptive fuzzy tracking control of switched uncertain nonlinear systems with unstable subsystems , 2015, Fuzzy Sets Syst..

[58]  Z. Zuo,et al.  Adaptive trajectory tracking control of output constrained multi-rotors systems , 2014 .