Asynchronous H∞ control of switched delay systems with average dwell time

In this paper, we study the issue of asynchronous H ∞ control for a class of switched delay systems. The switching signal of the switched controller involves time delay, which results in the asynchronous switching between the candidate controllers and the systems. By combining the piecewise Lyapunov–Krasovskii functional method with the merging switching signal technique, sufficient conditions of the existence of admissible H ∞ state-feedback controllers are developed for the switched delay system under an average dwell time scheme. These conditions imply the relationship among the upper bound of the state delay, the switching delay and the average dwell time. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.