H∞.. admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory state-feedback control

Abstract

This paper addresses the problem of H∞ admissibilization for time-varying delayed nonlinear singular impulsive jump systems based on memory fuzzy state-feedback control. New criteria to guarantee the H∞ admissibility for the fuzzy time-varying delayed singular impulsive jump systems are obtained by establishing the improved timer-dependent Lyapunov–Krasovskii functional. The singular value decomposition technique is utilized to eliminate internal impulses, and the memory fuzzy state-feedback controller is successfully designed by using parallel distribution compensation technique to inhibit the effects of external unstable impulses and time-varying delays. The gains of the desired memory fuzzy state-feedback controller are obtained through solving linear matrix inequalities. Finally, the rightness and validity of the obtained results are demonstrated by two simulation examples containing the bio-economic system.