Delay-Dependent \hbox Filter Design for Discrete-Time Fuzzy Systems With Time-Varying Delays

This paper investigates delay-dependent H infin filter design problems for discrete-time fuzzy systems with time-varying delays. First, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed in which both the upper bound of delays and the delay interval are considered....

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2009-06, Vol.17 (3), p.604-616
Main Authors: Meng Chen, Gang Feng, Haibo Ma, Ge Chen
Format: Article
Language:English
Subjects:
Communication system control
Delay effects
Delay systems
Delay-dependent filtering
Filtering
Fuzzy systems
fuzzy systems with delays
Linear matrix inequalities
linear matrix inequalities (LMIs)
Nonlinear filters
Nonlinear systems
reduced-order filters
Stability criteria
Time varying systems
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Summary:This paper investigates delay-dependent H infin filter design problems for discrete-time fuzzy systems with time-varying delays. First, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discrete-time systems with constant or time-varying delays are obtained, respectively. Then, delay-dependent full-order and reduced-order H infin filter design approaches are proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Simulation examples are also given to illustrate the performance of the proposed approaches. It is shown that our approaches are less conservative and that the corresponding H infin filters can achieve better performance than the existing approaches.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2008.924349