Fuzzy controller synthesis for nonlinear neutral state-delayed systems with impulsive effects

Abstract

The state feedback fuzzy controller synthesis for nonlinear neutral state-delayed systems with impulsive effects is addressed. A methodology for stability analysis of the underlying systems is proposed in the framework of system augmentation. New impulse-timer-dependent Lyapunov functions based analysis techniques, including a Razumikhin-type technique and a Lyapunov functional technique, are developed allowing to reduce the conservativeness of the stability conditions. To circumvent the difficulty in designing control gain matrices, the stability conditions of the closed-loop system are formulated in terms of dilated linear matrix inequalities (LMIs). By virtue of the nice properties of the dilated LMIs, the fuzzy controller synthesis is established. Three illustrative examples are presented to demonstrate the novelty of the new stability criteria and the effectiveness of the proposed design method.