Robust finite time stabilization for uncertain switched delay systems with average dwell time

This paper investigates the robust finite time stability and finite time stabilization for a class of uncertain switched systems which have time delay. The emphasis of the paper is on the cases where uncertainties are time varying and unknown but norm bounded. By using the average dwell time approach and multiple Lyapunov like functions, delay dependent sufficient conditions for finite time stability of uncertain switched systems with time delay in terms of a set of the linear matrix inequalities are presented. Then, the corresponding conditions are obtained for finite time stabilization of uncertain switched time delay systems via a state feedback controller. The controller is designed by virtue of the linear matrix inequalities and the cone complement linearization method. We solved the problem of uncertainty in uncertain switched time delay systems by resorting to Yakubovich lemma. Finally, numerical examples are provided to verify the effectiveness of the proposed theorem.

کلیدواژه ها:

Uncertain switched time delay systems ، Multiple Lyapunov-like functions ، Finite time stabilization ، Average dwell time ، Cone complement linearization method ، سیستمهای تاخیردار سوئیچشونده نامعین ، توابع شبه-لیاپانوف چندگانه ، پایدارسازی زمان محدود ، زمان اقامت متوسط ، روش خطی سازی cone complement