Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629587 | Applied Mathematics and Computation | 2013 | 15 Pages |
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.