Finite-time control of switched systems under asynchronism based on quantized sampled-data

Abstract

This work makes a discussion on the finite-time control for a class of switched linear systems with average dwell time and asynchronous switching. First, a sufficient finite-time boundedness condition for the closed-loop systems is obtained by choosing suitable mode-dependent and quantization-error-dependent Lyapunov functionals. Further, base on the derived result, the quantized sampled-data state feedback controller is designed to guarantee the finite-time boundedness of the considered systems. At the end, an illustrative example is provided to verify the correctness and effectiveness of the proposed results in this paper.