H∞ piecewise filtering for continuous T-S Fuzzy systems with time delays

Based on a piecewise Lyapunov-Krasovskii functional (PLKF), this paper presents an H infin piecewise filtering method for T-S fuzzy systems with time delays. It is shown that the H infin filtering performance can be satisfied if there exists a PLKF. The PLKF and the corresponding filter can be obtained by solving a set of linear matrix inequalities (LMIs). An example is presented to demonstrate the efficiency of the proposed method.

[1]  Bor-Sen Chen,et al.  H∞ fuzzy estimation for a class of nonlinear discrete-time dynamic systems , 2001, IEEE Trans. Signal Process..

[2]  Gang Feng.  Observer-based output feedback controller design of piecewise discrete-time linear systems , 2003 .

[3]  Gang Feng,et al.  Stability analysis of piecewise discrete-time linear systems , 2002, IEEE Trans. Autom. Control..

[4]  G. Feng.  Robust H/sub /spl infin// filtering of fuzzy dynamic systems , 2005 .

[5]  Bor-Sen Chen,et al.  Robust H∞ and mixed H2/H∞ filters for equalization designs of nonlinear communication systems: fuzzy interpolation approach , 2003, IEEE Trans. Fuzzy Syst..

[6]  Huaguang Zhang,et al.  Fuzzy $H_\infty$ Filter Design for a Class of Nonlinear Discrete-Time Systems With Multiple Time Delays , 2007, IEEE Transactions on Fuzzy Systems.

[7]  Shengyuan Xu,et al.  Exponential H∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay , 2004, Eng. Appl. Artif. Intell..

[8]  Chung-Shi Tseng,et al.  Robust Fuzzy Filter Design for a Class of Nonlinear Stochastic Systems , 2007, IEEE Transactions on Fuzzy Systems.

[9]  Qing-Guo Wang,et al.  Fuzzy Weighting-Dependent Approach to $H_{\infty}$ Filter Design for Time-Delay Fuzzy Systems , 2007, IEEE Transactions on Signal Processing.

[10]  Z. Han,et al.  Robust H∞ filtering of fuzzy dynamic systems , 1999 .

[11]  A. Rantzer,et al.  Piecewise linear quadratic optimal control , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[12]  M. Chen,et al.  Linear-matrix-inequality–based approach to H∞ controller synthesis of uncertain continuous-time piecewise linear systems , 2004 .

[13]  Y.-C. Lin,et al.  Robust Mixed$H_2/H_infty$Filtering for Time-Delay Fuzzy Systems , 2006, IEEE Transactions on Signal Processing.

[14]  Yu-Cheng Lin,et al.  Exponential stability of filtering problems for delay fuzzy systems , 2004, IEEE International Conference on Networking, Sensing and Control, 2004.