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.