H∞ state feedback control for fuzzy singular Markovian jump systems with constant time delays and impulsive perturbations

Abstract

The purpose of this paper is to study H∞ state feedback control issue of Takagi-Sugeno (T-S) fuzzy singular Markovian jump system (FSMJS) with constant time delays and impulsive perturbations. Under framework of linear matrix inequalities (LMIs), new criteria are derived using a modified impulse instants correlative Lyapunov-Krasovskii (L-K) functional. Through these conditions, FSMJS with constant time delays and impulsive perturbations meet H∞ performance and achieve the stochastic admissibility. A practical suspension system is employed to illustrate feasibility of the approach.