H ∞ control for networked control systems with time delays and packet dropouts

Abstract

This paper is concerned with the H ∞ control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired H ∞ disturbance attenuation level. Then, the desired H ∞ controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method. © 2013 Yilin Wang et al.