H(infinity) Piecewise Filtering for Continuous T-S Fuzzy Systems with Time Delays
DOI: 10.1109/FUZZY.2008.4630493 Conference: FUZZ-IEEE 2008, IEEE International Conference on Fuzzy Systems, Hong Kong, China, 1-6 June, 2008, Proceedings
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.
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ABSTRACT: This paper deals with the problems of robust stabilization and robust passive control for uncertain discrete Takagi-Sugeno (T-S) fuzzy time-delay systems. The parametric uncertainty is assumed to be norm bounded. Based on Lyapunov stability theory, a sufficient condition on the existence of delay-dependent robust passive controllers is derived firstly. Then, with the help of linear matrix inequality (LMI) method, delay-dependent robust passive controllers are designed such that for all admissible uncertainties and time delays, the closed-loop system is robustly stable and satisfies the given passive performance. A numerical example demonstrates the effectiveness of the proposed design method.
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