Adaptive Fuzzy Stabilization for a Class of Pure-Feedback Systems with Unknown Dead-Zones

This paper presents an adaptive fuzzy controller for a class of completely pure-feedback nonlinear systems. Takagi-Sugeno type fuzzy logic systems are used to approximate the unknown nonlinear functions. The controller synthesis is developed by the backstepping technique and the small gain approach. The closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB) and the tracking error converges to a residual set. The simulation results show the effectiveness of the control scheme.

[1]  Wei Wang,et al.  Adaptive Robust Fuzzy Control for a Class of Uncertain Nonlinear Systems in Pure-Feedback Form , 2008, 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA).

[2]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[3]  Ching-Chih Tsai,et al.  Adaptive Stable Generalized Predictive Control Using TSK Fuzzy Model for Nonlinear Discrete-Time Systems with Time-Delays , 2013 .

[4]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[5]  Shaocheng Tong,et al.  Adaptive Fuzzy Backstepping Dynamic Surface Control of Uncertain Nonlinear Systems Based on Filter Observer , 2012 .

[6]  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.

[7]  Qing Zhu,et al.  New results on adaptive neural control of a class of nonlinear systems with uncertain input delay , 2012, Neurocomputing.

[8]  Chih-Min Lin,et al.  Adaptive Fuzzy Total Sliding-Mode Control of Unknown Nonlinear Systems , 2012 .

[9]  Shumin Fei,et al.  Adaptive Fuzzy Tracking Control of a Class of Stochastic Nonlinear Systems with Unknown Dead-Zone Input , 2008 .

[10]  Tianping Zhang,et al.  Robust adaptive fuzzy control for a class of perturbed pure-feedback nonlinear systems , 2004 .

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

[12]  Dan Wang,et al.  Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form , 2002, Autom..

[13]  Shuzhi Sam Ge,et al.  Adaptive NN control of uncertain nonlinear pure-feedback systems , 2002, Autom..

[14]  Yih-Guang Leu Backstepping Nonlinear Control Using Nonlinear Parametric Fuzzy Systems , 2009 .

[15]  S.S. Ge,et al.  Adaptive Variable Structure Control of SISO Nonlinear Systems with Time-Varying Delays and Unknown Dead-zone Input , 2007, 2007 American Control Conference.

[16]  Kuang-Yow Lian,et al.  Current-Sensorless Flyback Converters Using Integral T-S Fuzzy Approach , 2013 .

[17]  Zhong-Ping Jiang,et al.  A small-gain control method for nonlinear cascaded systems with dynamic uncertainties , 1997, IEEE Trans. Autom. Control..

[18]  Chung-Shi Tseng,et al.  Robust Static Output Feedback Fuzzy Control Design for Nonlinear Discrete-Time Systems with Persistent Bounded Disturbances , 2012 .

[19]  Shuzhi Sam Ge,et al.  Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs , 2007, Autom..

[20]  Shuzhi Sam Ge,et al.  An ISS-modular approach for adaptive neural control of pure-feedback systems , 2006, Autom..

[21]  Changjiu Zhou,et al.  Adaptive fuzzy H/sub /spl infin// stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach , 2005, IEEE Transactions on Fuzzy Systems.

[22]  Mark Watson Adaptive Neural Networks , 1991 .

[23]  Wen‐Jer Chang,et al.  Robust Fuzzy Congestion Control of TCP/AQM Router via Perturbed Takagi-Sugeno Fuzzy Models , 2013 .

[24]  Tao Zhang,et al.  Stable Adaptive Neural Network Control , 2001, The Springer International Series on Asian Studies in Computer and Information Science.