Conference Paper

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
Source: DBLP


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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    • "Reference [27] proposed the delay-dependent approach to robust H ∞ and ℓ 2 -ℓ ∞ filtering for a class of uncertain nonlinear time-delayed systems. References [28] [29] investigated delay-dependent H ∞ filter design problems for discrete-time T-S fuzzy time-delayed systems and continuous-time T-S fuzzy time-delayed systems, respectively, which were both based on a delay-dependent piecewise Lyapunov-Krasovskii functional. "
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    ABSTRACT: This paper investigates the ℓ 2 - ℓ ∞ filtering problem of T-S fuzzy systems with multiple time-varying delays. First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition on ℓ 2 - ℓ ∞ -disturbance attenuation is presented, in which both stability and prescribed ℓ 2 - ℓ ∞ performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependent ℓ 2 - ℓ ∞ filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.
    Full-text · Article · Sep 2013 · Mathematical Problems in Engineering
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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.
    No preview · Article · Jan 2011