H<inf>∞</inf> filter design for nonlinear systems with time-delay through T-S fuzzy model approach

Abstract

This paper proposes a class of H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter design for nonlinear systems with time-delay via T-S fuzzy model approach. A novel delay-dependent H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> filter is proposed based on a modified delay-central-point approach and using the convexity property of the matrix inequality, which are expressed as a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness and the merit of the proposed method.