Non-fragile fuzzy H∞ filter design for nonlinear continuous-time systems with [formula omitted] stability constraints

Abstract

This paper is concerned with the problem of designing non-fragile H ∞ filters for a class of nonlinear continuous-time systems. The considered nonlinear plant is represented by a Takagi–Sugeno (T–S) fuzzy model. Attention is focused on the design of a filter such that the filtering error system guarantees a prescribed H ∞ performance level with D stability constraints, where the filter to be designed is assumed to be with multiplicative gain variations. A sufficient condition for the non-fragile H ∞ filter design is proposed in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H ∞ fuzzy filter is given. A simulation example will be given to show the efficiency of the proposed design methods.