Genetic fuzzy control for time-varying delayed uncertain systems with a robust stability safeguard

Abstract

This paper proposes a new delay-independent stability criterion for uncertain systems with state time-varying delay. Then, a robust state feedback control law based on it is constructed via sequential quadratic programming method to stabilize uncertain systems. Add a proposed FLC with a small number of rules and membership functions to the above-mentioned robust state feedback control law such that not only closed-loop uncertain systems with time-varying delay are robust stable but also output performance approaches desired one. An example given illustrates the availability of the proposed design method.