Robust finite-time H∞ control for uncertain switched neutral systems with mixed delays

Abstract

This paper investigates the problem of robust finite-time $H_{\infty }$ control for a class of uncertain switched neutral systems with time-varying mixed delays and unknown time-varying disturbance. First, a sufficient condition for finite-time bounding of switched neutral systems is derived using the average dwell time approach. Then, a finite-time $H_{\infty }$ performance analysis for switched neutral systems is developed, and a robust finite-time $H_{\infty }$ state feedback controller is proposed that guarantees that the closed-loop system is finite-time bounded. All the results are formulated in terms of linear matrix inequalities. Finally, two numerical examples are provided to show the effectiveness of the proposed method.