Adaptive Neural Network Control for Uncertain Switched Nonlinear Systems With Time Delays

This paper is concerned with the problem of adaptive neural network (NN) tracking control for a class of uncertain switched nonlinear systems with time delays. Compared with the existing results, a new common Lyapunov function with switched adaptive parameters is constructed. The unknown functions with time-delay state are compensated by using appropriate Lyapunov–Krasovskii functionals in the design. To guarantee transient performance of switched systems with time delays, the prescribed performance bound (PPB) method is utilized. Based on convex combination technique, a novel adaptive NN tracking control method under state-dependent switching law is proposed. It is shown that under the proposed control and switching laws, all the signals of the closed-loop system are bounded and the tracking error is preserved within PPB. Finally, the simulation example is given to demonstrate the effectiveness of the proposed control scheme.

[1]  S. Yoo.  Brief Paper - Fault-tolerant control of strict-feedback non-linear time-delay systems with prescribed performance , 2013 .

[2]  Fuchun Sun,et al.  Composite Intelligent Learning Control of Strict-Feedback Systems With Disturbance , 2018, IEEE Transactions on Cybernetics.

[3]  S. Jain,et al.  Decentralized adaptive control of a class of large-scale interconnected nonlinear systems , 1997, IEEE Trans. Autom. Control..

[4]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

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

[6]  Mohammad Reza Jahed-Motlagh,et al.  Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization , 2009 .

[7]  Weisheng Chen,et al.  Global adaptive neural control for strict-feedback time-delay systems with predefined output accuracy , 2015, Inf. Sci..

[8]  Yang Yi,et al.  Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics , 2017, Autom..

[9]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[10]  Shaocheng Tong,et al.  Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems , 2011, Fuzzy Sets Syst..

[11]  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.

[12]  Qingling Zhang,et al.  Fault detection for stochastic parameter-varying Markovian jump systems with application to networked control systems , 2016 .

[13]  Shaocheng Tong,et al.  Adaptive Fuzzy Output-Constrained Fault-Tolerant Control of Nonlinear Stochastic Large-Scale Systems With Actuator Faults , 2017, IEEE Transactions on Cybernetics.

[14]  Shen Yin,et al.  Adaptive Fuzzy Control of Strict-Feedback Nonlinear Time-Delay Systems With Unmodeled Dynamics , 2016, IEEE Transactions on Cybernetics.

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

[16]  Peng Shi,et al.  Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching , 2015, Autom..

[17]  Shaocheng Tong,et al.  Adaptive fuzzy control for a class of unknown nonlinear dynamical systems , 2015, Fuzzy Sets Syst..

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

[19]  Zhaoxu Yu,et al.  Adaptive tracking control for switched strict-feedback nonlinear systems with time-varying delays and asymmetric saturation actuators , 2017, Neurocomputing.

[20]  Bing Chen,et al.  Adaptive Neural Control for a Class of Perturbed Strict-Feedback Nonlinear Time-Delay Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Hassan Yousef,et al.  Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems , 2013, Int. J. Autom. Comput..

[22]  Yao Yu,et al.  Robust backstepping output tracking control for SISO uncertain nonlinear systems with unknown virtual control coefficients , 2010, Int. J. Control.

[23]  J. C. Gerdes,et al.  Dynamic surface control of nonlinear systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[24]  Qingling Zhang,et al.  Adaptive fuzzy fault-tolerant control with guaranteed tracking performance for nonlinear strict-feedback systems , 2016, Fuzzy Sets Syst..

[25]  Jin Bae Park,et al.  Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays , 2007, IEEE Transactions on Automatic Control.

[26]  Jing Li,et al.  Adaptive fuzzy control for perturbed strict-feedback nonlinear systems with predefined tracking accuracy , 2016 .

[27]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[28]  Changchun Hua,et al.  Adaptive Fuzzy Prescribed Performance Control for Nonlinear Switched Time-Delay Systems With Unmodeled Dynamics , 2018, IEEE Transactions on Fuzzy Systems.

[29]  Shuzhi Sam Ge,et al.  Persistent Dwell-Time Switched Nonlinear Systems: Variation Paradigm and Gauge Design , 2010, IEEE Transactions on Automatic Control.

[30]  Riccardo Marino,et al.  An extended direct scheme for robust adaptive nonlinear control , 1991, Autom..

[31]  Zhongke Shi,et al.  Online Recorded Data-Based Composite Neural Control of Strict-Feedback Systems With Application to Hypersonic Flight Dynamics , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Xiaoping Liu,et al.  Approximation-Based Adaptive Fuzzy Tracking Control for a Class of Nonstrict-Feedback Stochastic Nonlinear Time-Delay Systems , 2015, IEEE Transactions on Fuzzy Systems.

[33]  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.

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

[35]  Celso Pascoli Bottura,et al.  Adaptive Neural-Based Backstepping Control of Uncertain MIMO Nonlinear Systems , 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

[36]  Guang-Hong Yang,et al.  Adaptive asymptotic tracking control of uncertain nonlinear systems with input quantization and actuator faults , 2016, Autom..

[37]  Ding Zhai,et al.  Robust Adaptive Fuzzy Control of a Class of Uncertain Nonlinear Systems With Unstable Dynamics and Mismatched Disturbances , 2018, IEEE Transactions on Cybernetics.

[38]  Ding Zhai,et al.  Prescribed Performance Switched Adaptive Dynamic Surface Control of Switched Nonlinear Systems With Average Dwell Time , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  David G. Taylor,et al.  Adaptive Regulation of Nonlinear Systems with Unmodeled Dynamics , 1988, 1988 American Control Conference.

[40]  Qingling Zhang,et al.  Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time , 2016, Appl. Math. Comput..

[41]  Moshe Zukerman,et al.  Performance Analysis of Circuit Switched Multi-Service Multi-Rate Networks With Alternative Routing , 2014, Journal of Lightwave Technology.

[42]  Marios M. Polycarpou,et al.  High-order neural network structures for identification of dynamical systems , 1995, IEEE Trans. Neural Networks.