Abstract
Switched control systems can be used to describe many practical processes with switching phenomena, such as power electronics, mechanical systems, etc. In this paper, the problem of finite-time stabilization under asynchronous switching is dealt with for a class of switched time-delay systems with nonlinear disturbances. Firstly, the nonlinear uncertainties are transformed into the linear time-varying forms via the differential mean value theorem under some assumptions. Secondly, by applying the average dwell time method and convexity principle, a finite-time stability condition for the unforced switched time-delay system is established. Finally, an asynchronous switching state feedback controller is designed which renders the considered system finite-time stable. A numerical example is provided to show the effectiveness of the developed results.
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