Open AccessRobust finite‐time H ∞ control for switched systems by using sojourn‐probability‐dependent method
Author(s) -
Hu Yinghui,
Tian Engang,
Zhang Leiming,
Gu Wei
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
ISSN - 1751-9683
DOI - 10.1049/iet-spr.2015.0284
Subject(s) - control theory (sociology) , discrete time and continuous time , mathematics , robust control , computer science , lyapunov function , control (management) , control system , statistics , artificial intelligence , nonlinear system , physics , quantum mechanics , electrical engineering , engineering
This study deals with the problem of robust H ∞ finite‐time boundedness analysis and design of finite‐time H ∞ feedback control for discrete switched systems. By using sojourn probability information, a new kind of switched system model is proposed. Based on this model, sufficient conditions for the H ∞ finite‐time boundedness are obtained by using Lyapunov functional method and the corresponding controllers are also designed. Moreover, when considering partially known probabilities and unknown system uncertainties, the analysis and design methods are also given. Finally, an example is given to illustrate the efficiency of the proposed method.