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

作者：Zhang Lixian^*; Boukas El Kebir; Shi Peng; Chen Zhaobo

来源：Optimal Control Applications and Methods, 2011, 32(1): 15-27.

DOI：10.1002/oca.919

• average dwell time
• H-infinity control
• linear matrix inequalities
• switched linear systems

This paper concerns H-infinity 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 mu-dependent approach is then introduced for the considered systems to the H-infinity 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-infinity performance index. The mu-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.

• 出版日期2011-2
• 单位哈尔滨工业大学