Adaptive neural tracking control for a class of switched uncertain nonlinear systems

This paper investigates the problem of adaptive neural tracking control for a class of switched uncertain nonlinear systems in nonstrict-feedback form. By resorting to the adaptive backstepping technique, common Lyapunov function method, variable separation approach and the universal approximation capability of radial basis function neural networks, an adaptive tracking control algorithm is proposed for the considered system. It is shown that the designed controller can ensure that the target signal can be tracked with a small bounded error and the stability of the system can be kept under arbitrary switchings. Finally, simulation studies for a ship maneuvering system under different speeds are presented to show the effectiveness of the proposed method.

[1]  Jun Zhao,et al.  Dissipativity Theory for Switched Systems , 2005, CDC 2005.

[2]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.

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

[4]  Marios M. Polycarpou,et al.  A Robust Adaptive Nonlinear Control Design , 1993, 1993 American Control Conference.

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

[6]  Jinde Cao,et al.  Robust State Estimation for Neural Networks With Discontinuous Activations , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  Jun Ye,et al.  Tracking control for nonholonomic mobile robots: Integrating the analog neural network into the backstepping technique , 2008, Neurocomputing.

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

[9]  Bin Xu,et al.  Neural discrete back-stepping control of hypersonic flight vehicle with equivalent prediction model , 2015, Neurocomputing.

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

[11]  Steven X. Ding,et al.  Data-driven monitoring for stochastic systems and its application on batch process , 2013, Int. J. Syst. Sci..

[12]  Huijun Gao,et al.  Asynchronously switched control of switched linear systems with average dwell time , 2010, Autom..

[13]  Lei Yuan,et al.  Simulation and design of fuzzy sliding-mode controller for ship heading-tracking , 2011 .

[14]  Jindong Tan,et al.  Tracking control of nonholonomic mobile robots , 1999, Proceedings 1999 IEEE International Symposium on Computational Intelligence in Robotics and Automation. CIRA'99 (Cat. No.99EX375).

[15]  Long Wang,et al.  On stability of a class of switched nonlinear systems , 2013, Autom..

[16]  Tieshan Li,et al.  A DSC and MLP based robust adaptive NN tracking control for underwater vehicle , 2013, Neurocomputing.

[17]  Jinde Cao,et al.  Finite-time stochastic stabilization for BAM neural networks with uncertainties , 2013, J. Frankl. Inst..

[18]  Bing Chen,et al.  Position tracking control for chaotic permanent magnet synchronous motors via indirect adaptive neural approximation , 2015, Neurocomputing.

[19]  Ming-Li Chiang,et al.  Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control , 2014, Autom..

[20]  Jinde Cao,et al.  A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks , 2014, Neural Networks.

[21]  Jianbin Qiu,et al.  A Combined Adaptive Neural Network and Nonlinear Model Predictive Control for Multirate Networked Industrial Process Control , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Jinde Cao,et al.  Filippov systems and quasi-synchronization control for switched networks. , 2012, Chaos.

[23]  Shen Yin Data driven design of fault diagnosis systems , 2012 .

[24]  Hongwei Zhang,et al.  Cooperative output feedback adaptive control of uncertain nonlinear multi-agent systems with a dynamic leader , 2015, Neurocomputing.

[25]  Shen Yin,et al.  Switching Stabilization for a Class of Slowly Switched Systems , 2015, IEEE Transactions on Automatic Control.

[26]  Shen Yin,et al.  Improved results on stability of continuous-time switched positive linear systems , 2014, Autom..

[27]  Peng Shi,et al.  Non-weighted quasi-time-dependent H∞ filtering for switched linear systems with persistent dwell-time , 2015, Autom..

[28]  Shaocheng Tong,et al.  Output feedback robust stabilization of switched fuzzy systems with time-delay and actuator saturation , 2015, Neurocomputing.

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

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

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