Model reference H<inf>∞</inf> tracking control of networked control systems with random packet dropout

Abstract

This paper studies the model reference H ∞ tracking control problem of networked control systems (NCSs) with random packet dropout in controller-to-actuator channels. A general packet dropout model in multiple channels case is adopted to formulate the information missing in the communication networks. The multiple channel packet dropout model results in complexities and difficulties in the tracking controller design. A latest received data dependent Lyapunov function is proposed and exploited to develop a sufficient condition for the H ∞ tracking controller design in terms of a linear matrix inequality (LMI). The proposed controller design method can guarantee asymptotic tracking of prescribed reference outputs while rejecting disturbances in mean square sense. A numerical example is given to illustrate the effectiveness of the proposed tracking controller design method.