Title :
A Delay-Dependent Approach to H∞ Filtering for Fuzzy Time-Varying Delayed Systems
Author :
Chen, Meng ; Feng, Gang ; Ma, Haibo
Author_Institution :
City Univ. of Hong Kong, Kowloon
Abstract :
This paper investigates delay-dependent H∞ filter design problems for discrete-time fuzzy systems with time-varying delays. Firstly, 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 time-varying delays are obtained. Then, delay-dependent H∞ filter design approaches are proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). A simulation example is also given to illustrate the FL filter design procedures and the performance.
Keywords :
H∞ control; Lyapunov methods; control system synthesis; delays; discrete time systems; filtering theory; fuzzy systems; linear matrix inequalities; stability; time-varying systems; H∞ filter design problem; delay-dependent stability; discrete-time fuzzy system; linear matrix inequality; piecewise Lyapunov-Krasovskii functional method; time-varying delay; Delay systems; Filtering; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear filters; Nonlinear systems; Stability criteria; Time varying systems; Upper bound;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295440
