Abstract
This paper deals with the problem of delay-dependent robust filter for T-S fuzzy time-delay systems with exponential stability. The purpose is to design filter parameters such that the filtering error system is exponentially stable and satisfies a prescribed performance. In terms of linear matrix inequalities (LMIS), some sufficient conditions for the solvability of this problem are presented. Thanks to the new filter, the obtained stability criterion is less conservative than the existing ones. Finally, three examples are provided to demonstrate the effectiveness and the superiority of the proposed design methods.
Highlights
In the past several decades, robust filtering problem has received extensive attention of people
H∞ filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional was investigated in [ ]
Delay-dependent H∞ filtering for singular Markovian jump time-delay systems was studied in [ ]
Summary
In the past several decades, robust filtering problem has received extensive attention of people. Delay-dependent robust H∞ and L – L∞ filtering for a class of uncertain nonlinear time-delay systems was studied in [ ]. New results on H∞ filtering for fuzzy systems with interval time-varying delays was studied in [ ]. The problem of delay-dependent robust H∞ filter for T-S fuzzy timedelay systems with exponential stability has rarely been reported. For T-S fuzzy time-delay systems with exponential stability, this paper discusses the design methods of delay-dependent robust H∞ filter. Hi ε(t) hj ε(t) Lij. The robust H∞ filtering problem to be addressed in this paper is formulated as follows: given the T-S fuzzy time-delay system ( ) and a prescribed level of noise attenuation γ > , determine a filter with exponentially stable in the form of ( ) such that the following requirements are satisfied:.
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