Adaptive neural network tracking design for a class of uncertain nonlinear discrete-time systems with dead-zone

In this paper, the stability and control issues of a class of uncertain nonlinear discrete-time systems in the strict feedback form are investigated. The dead-zone input in the systems, whose property is non-symmetric and discretized, is investigated. The unknown functions in the systems are approximated by using the radial basis function neural networks (RBFNNs). Backstepping design procedure is employed in the controller and the adaptation laws design. Lyapunov analysis method is utilized to prove the stability of the closed-loop system. A simulation example is given to illustrate the effectiveness of the proposed approach.

[1]  Xin Zhang,et al.  Neural-network-based reinforcement learning controller for nonlinear systems with non-symmetric dead-zone inputs , 2009, 2009 IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning.

[2]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized dynamics surface control for nonlinear large-scale systems based on high-gain observer , 2013, Inf. Sci..

[3]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Feedback Tracking Backstepping Control of Strict-Feedback Nonlinear Systems With Unknown Dead Zones , 2012, IEEE Transactions on Fuzzy Systems.

[4]  Zhijun Li,et al.  Adaptive Fuzzy Control for Synchronization of Nonlinear Teleoperators With Stochastic Time-Varying Communication Delays , 2011, IEEE Transactions on Fuzzy Systems.

[5]  Shuzhi Sam Ge,et al.  Output Feedback NN Control for Two Classes of Discrete-Time Systems With Unknown Control Directions in a Unified Approach , 2008, IEEE Transactions on Neural Networks.

[6]  Junmin Li,et al.  Decentralized Output-Feedback Neural Control for Systems With Unknown Interconnections , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  Zhijun Li,et al.  Adaptive fuzzy logic control of dynamic balance and motion for wheeled inverted pendulums , 2009, Fuzzy Sets Syst..

[8]  Shuzhi Sam Ge,et al.  Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems , 2003, Autom..

[9]  Tong Shao-cheng,et al.  Fuzzy adaptive observer backstepping control for MIMO nonlinear systems , 2009 .

[10]  Shaocheng Tong,et al.  Adaptive fuzzy decentralized control for nonlinear large-scale systems based on high-gain observer , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[11]  Jin Zhang,et al.  Adaptive neural network control for a class of MIMO nonlinear systems with disturbances in discrete-time , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Bin Jiang,et al.  Robust Adaptive Tracking Control of the Underwater Robot with Input Nonlinearity Using Neural Networks , 2010, Int. J. Comput. Intell. Syst..

[13]  Vinay Kumar Deolia,et al.  Backstepping Control of Discrete-Time Nonlinear System Under Unknown Dead-zone Constraint , 2011, 2011 International Conference on Communication Systems and Network Technologies.

[14]  Jing Zhou,et al.  Robust adaptive control of nonlinear uncertain plants with unknown dead-zone , 2007 .

[15]  Zhijun Li,et al.  Adaptive neural-fuzzy control of uncertain constrained multiple coordinated nonholonomic mobile manipulators , 2008, Eng. Appl. Artif. Intell..

[16]  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).

[17]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[18]  Frank L. Lewis,et al.  Deadzone compensation in motion control systems using neural networks , 2000, IEEE Trans. Autom. Control..

[19]  Shaocheng Tong,et al.  Robust adaptive fuzzy backstepping output feedback tracking control for nonlinear system with dynamic uncertainties , 2010, Science China Information Sciences.

[20]  Chun-Yi Su,et al.  Adaptive tracking of nonlinear systems with non-symmetric dead-zone input , 2007, Autom..

[21]  Han-Xiong Li,et al.  An approximate internal model-based neural control for unknown nonlinear discrete processes , 2006, IEEE Transactions on Neural Networks.

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

[23]  Shuzhi Sam Ge,et al.  Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems With Input Nonlinearities , 2010, IEEE Transactions on Neural Networks.

[24]  S.S. Ge,et al.  Direct adaptive control for a class of MIMO nonlinear systems using neural networks , 2004, IEEE Transactions on Automatic Control.

[25]  Shaocheng Tong,et al.  A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[26]  Guang-Hong Yang,et al.  $H_{\infty}$ Controller Synthesis via Switched PDC Scheme for Discrete-Time T--S Fuzzy Systems , 2009, IEEE Transactions on Fuzzy Systems.

[27]  Jin Bae Park,et al.  Neural-Network-Based Decentralized Adaptive Control for a Class of Large-Scale Nonlinear Systems With Unknown Time-Varying Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[28]  Frank L. Lewis,et al.  Deadzone compensation in motion control systems using adaptive fuzzy logic control , 1999, IEEE Trans. Control. Syst. Technol..

[29]  Zhijun Li,et al.  Adaptive fuzzy control for synchronization of nonlinear teleoperators with stochastic time-varying communication delays , 2011, 2011 IEEE International Conference on Robotics and Automation.

[30]  F. Lewis,et al.  Discrete-time neural net controller for a class of nonlinear dynamical systems , 1996, IEEE Trans. Autom. Control..

[31]  Shaocheng Tong,et al.  A Combined Backstepping and Small-Gain Approach to Robust Adaptive Fuzzy Output Feedback Control , 2009, IEEE Transactions on Fuzzy Systems.

[32]  Jin Bae Park,et al.  Adaptive Output Feedback Control of Flexible-Joint Robots Using Neural Networks: Dynamic Surface Design Approach , 2008, IEEE Transactions on Neural Networks.

[33]  Frank L. Lewis,et al.  Deadzone compensation in discrete time using adaptive fuzzy logic , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[34]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown dead-zone , 2004, Autom..

[35]  Syed Omer Farooq,et al.  Identification and Control of a Class of Nonlinear Systems , 2003 .

[36]  Gang Tao,et al.  Discrete-time adaptive control of plants with unknown output dead-zones , 1995, Autom..

[37]  Ying Zhang,et al.  Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity , 2006, IEEE Transactions on Automatic Control.

[38]  Zhang Huaguang,et al.  Modeling, identification, and control of a class of nonlinear systems , 2001, IEEE Trans. Fuzzy Syst..

[39]  Huaguang Zhang,et al.  Delay-Dependent Guaranteed Cost Control for Uncertain Stochastic Fuzzy Systems With Multiple Time Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[40]  Shaocheng Tong,et al.  A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems , 2003, IEEE Trans. Fuzzy Syst..

[41]  Shuzhi Sam Ge,et al.  Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints , 2011, Autom..

[42]  Xiaohui Xu,et al.  Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays , 2011, Appl. Math. Lett..

[43]  Shuzhi Sam Ge,et al.  Robust attitude control of helicopters with actuator dynamics using neural networks , 2010 .

[44]  Bing Chen,et al.  Direct adaptive neural control for stabilization of nonlinear time-delay systems , 2010, Science China Information Sciences.

[45]  Huaguang Zhang,et al.  An LMI Approach to Stability Analysis of Reaction–Diffusion Cohen–Grossberg Neural Networks Concerning Dirichlet Boundary Conditions and Distributed Delays , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[46]  Yongming Li,et al.  Fuzzy adaptive observer backstepping control for MIMO nonlinear systems , 2009, Fuzzy Sets Syst..

[47]  Shuzhi Sam Ge,et al.  Robust Adaptive Position Mooring Control for Marine Vessels , 2013, IEEE Transactions on Control Systems Technology.

[48]  Jin Bae Park,et al.  Decentralized adaptive stabilization of interconnected nonlinear systems with unknown non-symmetric dead-zone inputs , 2009, Autom..