H∞ filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional

Authors:
Cailian Chen;Huixue Liu;Xinping Guan
Affiliations:
Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, PR China and Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, PR China;Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, PR China;Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, PR China and Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, PR China
Venue:
Signal Processing
Year:
2009

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Abstract

Based on a piecewise Lyapunov-Krasovskii functional (PLKF), this paper presents an H"~ piecewise filtering method for T-S fuzzy systems with time delays. It is shown that the H"~ 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). Two examples are presented to demonstrate the efficiency and advantage of the proposed method.