Sliding mode control for switched systems subject to successive packet dropout

Abstract

In this work, the problem of sliding mode control is considered for a class of uncertain switched systems in which the data dropout may happen when the state information is transmitted from the sensor to the controller. Besides, the input matrix for each subsystem is not necessarily the same. First, a common sliding surface depending on dropout probability is constructed by means of a weighted sum approach of the input matrices. And then, a sliding mode controller based on the estimator of the lost signal is designed. It is shown that both the reachability of sliding surface and the stability of sliding mode dynamics can be guaranteed, simultaneously. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method.