Asynchronous Finite-Time HÂ¥ Control for Networked Switched Control Systems via Mode-Dependent Dynamic State-Feedback

Abstract

In this paper, we studied asynchronous finite-time ¥ H control for a class of Networked Switched Control Systems (NSCSs) with time-delays and time-varying disturbances. The concepts of stability and boundedness of NSCSs are given by 2 assumptions and 5 definitions at first. Then Linear Matrix Inequalities (LMIs), Average Dwell Time (ADT) and Multiple Lyapunov Functions (MLFs) are used to guarantee that the system is finite-time with a prescribed ¥ H performance with asynchronously switched control. Moreover, a set of mode-dependent dynamic state feedback controllers are obtained to solve the finite-time stabilization problem. At last, two examples are gived to confirm the efficiency of methods.