A µ-dependent approach to H∞ control of uncertain switched linear systems with average dwell time

✍ Scribed by Lixian Zhang; El-Kebir Boukas; Peng Shi; Zhaobo Chen

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 131 KB
• Volume: 32
• Category: Article
• ISSN: 0143-2087
• DOI: 10.1002/oca.919

✦ Synopsis

Abstract

This paper concerns H~∞~ control problem for a class of discrete‐time uncertain switched linear systems with average dwell time. The stability result for general discrete‐time switched systems is first explored, and a µ‐dependent approach is then introduced for the considered systems to the H~∞~ controller solution. A mode‐dependent state‐feedback controller is designed such that the resulting closed‐loop system is robust exponentially stable and has a prescribed exponential H~∞~ performance index. The µ‐dependent existence conditions of desired controller and admissible switching signals are derived and formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the developed theoretical results. Copyright © 2009 John Wiley & Sons, Ltd.