H_∞ control of switched systems with nonideal switchings and its application to morphing aircraft

This paper concerns the H_∞ control problem for a class of switched systems with nonideal switchings. The so-called nonideal switching means that the switching among system modes is not instantaneous but undergoes some transitional period. Employing the average dwell time method and the differential inequality technique, a sufficient condition is presented which ensures the unforced switched system to be globally uniformly asymptotically stable with some given L₂ gain. The controller design problem is further solved by means of the linear matrix inequality skills, and the mode-dependent controller gains are obtained via convex optimization tools. Finally, the proposed control method is applied to the tracking controller design of a morphing aircraft. Simulation results demonstrate the effectiveness of the proposed approach.