ROBUST STABILIZATION OF STATE DELAYED TS FUZZY SYSTEMS WITH INPUT SATURATION VIA DYNAMIC ANTI-WINDUP FUZZY DESIGN

This paper considers the robust stabilization problem for Takagi-Sugeno fuzzy systems with time-varying delays subject to input saturation. The purpose is the design of dynamic anti-windup fuzzy controllers ensuring convergence of all admissible initial states within the domain of attraction. Delay-dependent conditions for the existence of solutions to this problem are obtained. A simulation example is also presented.

[1]  Chen-Sheng Ting,et al.  Stabilization of nonlinear time-delay systems with input saturation via anti-windup fuzzy design , 2011, Soft Comput..

[2]  Sophie Tarbouriech,et al.  Dynamic anti-windup synthesis for state delayed systems: an LMI approach , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[3]  Juebang Yu,et al.  Passivity and passification of uncertain discrete-time fuzzy systems , 2008, 2008 International Conference on Communications, Circuits and Systems.

[4]  Hang Yin,et al.  Stability analysis of the simplest Takagi-Sugeno fuzzy control system using Popov criterion , 2007 .

[5]  Wen-Jer Chang,et al.  Fuzzy Control for Discrete Passive Affine T-S Fuzzy Systems with Observer Feedback , 2007, ICIC.

[6]  Luca Zaccarian,et al.  L2 anti-windup for linear dead-time systems , 2005, Syst. Control. Lett..

[7]  Sophie Tarbouriech,et al.  Antiwindup design with guaranteed regions of stability: an LMI-based approach , 2005, IEEE Transactions on Automatic Control.

[8]  J. M. Gomes da Silva,et al.  Delay‐dependent anti‐windup strategy for linear systems with saturating inputs and delayed outputs , 2004 .

[9]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[10]  Zongli Lin,et al.  Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[11]  Rogelio Lozano,et al.  On the passivity of linear delay systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[12]  Hyunseung Choo,et al.  Dynamic anti-windup method for a class of time-delay control systems with input saturation , 2000 .

[13]  Shaocheng Tong,et al.  DIRECT ADAPTIVE FUZZY BACKSTEPPING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS , 2007 .

[14]  Sophie Tarbouriech,et al.  Anti-windup Design for Time-delay Systems Subject to Input Saturation. An LMI-based Approach , 2006, Eur. J. Control.

[15]  Miroslav Krstic,et al.  An Antiwindup Approach to Enlarging Domain of Attraction for Linear Systems Subject to Actuator Saturation , 2002 .

[16]  L. Xie,et al.  Robust H^∞ Control for Linear Systems with Norm-Bounded Time-Varying Uncertainty , 1990 .

[17]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.