Adaptive fuzzy constraint control for switched nonlinear systems in nonstrict feedback form

In this paper, the adaptive fuzzy controller design problem is investigated for a class of switched nonlinear systems in nonstrict feedback form, in which the unknown functions are considered and are approximated. Moreover, the system states are constrained in corresponding compact. By using Barrier Lypunov function method and backstepping technique, the adaptive fuzzy controller is designed such that all the signals in the closed‐loop system are bounded, the system output can track the desired signal to small compact, and all the system states satisfy the constraint conditions. Finally, the simulation results show the effectiveness of the proposed method.

[1]  Lei Liu,et al.  Event-Triggered Tracking Control for Active Seat Suspension Systems With Time-Varying Full-State Constraints , 2022, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Xiuyu He,et al.  Boundary vibration control of a floating wind turbine system with mooring lines , 2020 .

[3]  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.

[4]  Yun Zhang,et al.  Adaptive Neural Quantized Control for a Class of MIMO Switched Nonlinear Systems With Asymmetric Actuator Dead-Zone , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Wei He,et al.  Admittance-Based Controller Design for Physical Human–Robot Interaction in the Constrained Task Space , 2020, IEEE Transactions on Automation Science and Engineering.

[6]  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.

[7]  Wei He,et al.  Reinforcement Learning Control of a Flexible Two-Link Manipulator: An Experimental Investigation , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Yanjun Liu,et al.  Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems , 2020, Science China Information Sciences.

[9]  Ling Liu,et al.  Fixed-time adaptive neural network control for nonstrict-feedback nonlinear systems with deadzone and output constraint. , 2020, ISA transactions.

[10]  Tieshan Li,et al.  NN Reinforcement Learning Adaptive Control for a Class of Nonstrict-Feedback Discrete-Time Systems , 2020, IEEE Transactions on Cybernetics.

[11]  Hui Wang,et al.  Adaptive state feedback stabilisation for more general switched stochastic non‐linear systems under arbitrary switchings , 2020, IET Control Theory & Applications.

[12]  Xiao Zhang,et al.  Adaptive parameter estimation for a general dynamical system with unknown states , 2020, International Journal of Robust and Nonlinear Control.

[13]  Shaocheng Tong,et al.  Adaptive Neural Control Using Tangent Time-Varying BLFs for a Class of Uncertain Stochastic Nonlinear Systems With Full State Constraints , 2019, IEEE Transactions on Cybernetics.

[14]  Shaocheng Tong,et al.  Fuzzy-Based Multierror Constraint Control for Switched Nonlinear Systems and Its Applications , 2019, IEEE Transactions on Fuzzy Systems.

[15]  Hongjing Liang,et al.  Observer-based adaptive neural optimal control for discrete-time systems in nonstrict-feedback form , 2019, Neurocomputing.

[16]  Li Tang,et al.  Adaptive control for switched uncertain nonlinear systems with time‐varying output constraint and input saturation , 2019, International Journal of Adaptive Control and Signal Processing.

[17]  Dan Ye,et al.  Adaptive neural-based control for non-strict feedback systems with full-state constraints and unmodeled dynamics , 2019, Nonlinear Dynamics.

[18]  Lijun Long,et al.  Small-Gain Technique-Based Adaptive NN Control for Switched Pure-Feedback Nonlinear Systems , 2019, IEEE Transactions on Cybernetics.

[19]  Fuad E. Alsaadi,et al.  Adaptive Neural State-Feedback Tracking Control of Stochastic Nonlinear Switched Systems: An Average Dwell-Time Method , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[20]  Yang Liu,et al.  A Novel Finite-Time Adaptive Fuzzy Tracking Control Scheme for Nonstrict Feedback Systems , 2019, IEEE Transactions on Fuzzy Systems.

[21]  Jun Zhao,et al.  Switched Threshold-Based Fault Detection for Switched Nonlinear Systems With Its Application to Chua’s Circuit System , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  Shouming Zhong,et al.  Design of adaptive backstepping dynamic surface control method with RBF neural network for uncertain nonlinear system , 2019, Neurocomputing.

[23]  C. L. Philip Chen,et al.  A Regularized Variable Projection Algorithm for Separable Nonlinear Least-Squares Problems , 2019, IEEE Transactions on Automatic Control.

[24]  Shaocheng Tong,et al.  Finite-Time Adaptive Fuzzy Output Feedback Dynamic Surface Control for MIMO Nonstrict Feedback Systems , 2019, IEEE Transactions on Fuzzy Systems.

[25]  Michael V. Basin,et al.  Observer-Based Composite Adaptive Fuzzy Control for Nonstrict-Feedback Systems With Actuator Failures , 2018, IEEE Transactions on Fuzzy Systems.

[26]  Chun-Fei Hsu,et al.  Backstepping-Based Finite-Time Adaptive Fuzzy Control of Unknown Nonlinear Systems , 2018, International Journal of Fuzzy Systems.

[27]  Guang Li,et al.  Adaptive fuzzy control for a marine vessel with time‐varying constraints , 2018, IET Control Theory & Applications.

[28]  Linlin Hou,et al.  Adaptive neural network asymptotical tracking control for an uncertain nonlinear system with input quantisation , 2018, Int. J. Syst. Sci..

[29]  Shaocheng Tong,et al.  Adaptive Fuzzy Control With Prescribed Performance for Block-Triangular-Structured Nonlinear Systems , 2018, IEEE Transactions on Fuzzy Systems.

[30]  Shaocheng Tong,et al.  Fuzzy Adaptive Decentralized Optimal Control for Strict Feedback Nonlinear Large-Scale Systems , 2018, IEEE Transactions on Cybernetics.

[31]  Zongli Lin,et al.  A Multiple Lyapunov Function Approach to Distributed Synchronization Control of Multi-Agent Systems With Switching Directed Communication Topologies and Unknown Nonlinearities , 2018, IEEE Transactions on Control of Network Systems.

[32]  Jun Zhao,et al.  H∞ model reference adaptive control for switched systems based on the switched closed-loop reference model , 2018 .

[33]  Tieshan Li,et al.  Finite-Time Formation Control of Under-Actuated Ships Using Nonlinear Sliding Mode Control , 2018, IEEE Transactions on Cybernetics.

[34]  Shaocheng Tong,et al.  Adaptive Neural Networks Decentralized FTC Design for Nonstrict-Feedback Nonlinear Interconnected Large-Scale Systems Against Actuator Faults , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[35]  Shaocheng Tong,et al.  Adaptive NN Control Using Integral Barrier Lyapunov Functionals for Uncertain Nonlinear Block-Triangular Constraint Systems , 2017, IEEE Transactions on Cybernetics.

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

[37]  Qiusheng Li,et al.  Adaptive tracking control for a class of nonlinear non-strict-feedback systems , 2017 .

[38]  Hamid Reza Karimi,et al.  Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay , 2016, IEEE Transactions on Cybernetics.

[39]  Wei He,et al.  Adaptive Neural Network Control of an Uncertain Robot With Full-State Constraints , 2016, IEEE Transactions on Cybernetics.

[40]  Jun Zhao,et al.  Switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems , 2015, Autom..

[41]  Jian Xiao,et al.  Stabilization of switched continuous-time systems with all modes unstable via dwell time switching , 2014, Autom..

[42]  Keng Peng Tee,et al.  Control of nonlinear systems with partial state constraints using a barrier Lyapunov function , 2011, Int. J. Control.

[43]  Jun Zhao,et al.  Quadratic stabilization of a class of switched nonlinear systems via single Lyapunov function , 2010 .

[44]  Xinzhi Liu,et al.  Robust Stability Analysis of Guaranteed Cost Control for Impulsive Switched Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[45]  Jun Zhao,et al.  On stability, L2-gain and Hinfinity control for switched systems , 2008, Autom..

[46]  Peng Shi,et al.  $H_\infty$ Filtering of Discrete-Time Switched Systems With State Delays via Switched Lyapunov Function Approach , 2007, IEEE Transactions on Automatic Control.

[47]  Ying Zhang,et al.  Adaptive backstepping control of a class of uncertain nonlinear systems with unknown backlash-like hysteresis , 2004, IEEE Trans. Autom. Control..

[48]  Bin Wang,et al.  Bandwidth degradation QoS provisioning for adaptive multimedia in wireless/mobile networks , 2002, Comput. Commun..

[49]  Yan Wang,et al.  Optimal Admission Control for Multi-Class of Wireless Adaptive Multimedia Services , 2001 .

[50]  D. Recker,et al.  Indirect adaptive non-linear control of discrete time systems containing a dead-zone , 1997 .

[51]  Minyue Fu,et al.  Minimum switching control for adaptive tracking , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[52]  C. L. Philip Chen,et al.  An integration of neural network and rule-based systems for design and planning of mechanical assemblies , 1993, IEEE Trans. Syst. Man Cybern..

[53]  Yan-Jun Liu,et al.  Neural network based adaptive event trigger control for a class of electromagnetic suspension systems , 2021, Control Engineering Practice.

[54]  Zhenbin Du,et al.  Adaptive fuzzy control by Real-Time Choosing Multi-Model Architecture for uncertain nonlinear System , 2019, Mechatron. Syst. Control..

[55]  Shaocheng Tong,et al.  Fuzzy Adaptive Output Feedback Optimal Control Design for Strict-Feedback Nonlinear Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.