Stability,  L  2 ‐gain and asynchronous  H   ∞   control for continuous‐time switched systems | Zendy

Zhang Hongbin | Zendy; Wang Bo | Zendy; Xie Dehua | Zendy; Xu Shengyuan | Zendy; Dang Chuangyin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Stability, L 2 ‐gain and asynchronous H ∞ control for continuous‐time switched systems

Author(s) -

Zhang Hongbin,

Wang Bo,

Xie Dehua,

Xu Shengyuan,

Dang Chuangyin

Publication year - 2013

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.3107

Subject(s) - asynchronous communication , dwell time , control theory (sociology) , exponential stability , stability (learning theory) , lyapunov function , mathematics , class (philosophy) , extension (predicate logic) , control (management) , computer science , nonlinear system , telecommunications , physics , medicine , clinical psychology , quantum mechanics , artificial intelligence , machine learning , programming language

Summary This paper is concerned with the stability and L 2 ‐gain problems for a class of continuous‐time linear switched systems with the existed asynchronous behaviors, where ‘asynchronous’ means that the switching of the controllers to be designed has a lag to the switching of the system modes. Firstly, a new sufficient condition on the asymptotic stability and weighted L 2 ‐gain analysis is obtained by using multiple Lyapunov functions combined with the average dwell time technique. Moreover, a result that is formulated in form of linear matrix inequalities is derived for the problem of asynchronous H ∞ control. Based on the result, the mode‐dependent controllers can be designed. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained results.Copyright © 2013 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research