A new approach to network-based H∞ control for stochastic systems

Abstract

<jats:title>SUMMARY</jats:title><jats:p>This paper deals with the problem of network‐based <jats:italic>H</jats:italic><jats:sub>∞</jats:sub> control for a class of uncertain stochastic systems with both network‐induced delays and packet dropouts. The networked control system under consideration is represented by a stochastic model, which consists of two successive delay components in the state. The uncertainties are assumed to be time varying and norm bounded. Sufficient conditions for the existence of <jats:italic>H</jats:italic><jats:sub>∞</jats:sub> controller are proposed to ensure exponentially stable in mean square of the closed‐loop system that also satisfies a prescribed performance. The conditions are expressed in the frame of linear matrix inequalities (LMIs), which can be verified easily by means of standard software. Two practical examples are provided to show the effectiveness of the proposed techniques. Copyright © 2011 John Wiley &amp; Sons, Ltd.</jats:p>