Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays

Abstract EN

This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels.

It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller.

Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed-loop system.

Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology.

A numerical example is presented to demonstrate the effectiveness of the proposed method.