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Robust H ∞ performance analysis for uncertain discrete‐time singular systems with time‐varying delays
Author(s) -
Ma Yuechao,
Gu Nannan,
Jin Shujie
Publication year - 2014
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2133
Subject(s) - mathematics , control theory (sociology) , discrete time and continuous time , set (abstract data type) , stability (learning theory) , conservatism , linear matrix inequality , function (biology) , lyapunov function , computer science , mathematical optimization , nonlinear system , control (management) , statistics , law , physics , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , politics , political science , biology , programming language
Summary This paper considers the problem of robust H ∞ performance analysis for uncertain discrete‐time singular systems with time‐varying delays. Firstly, a delay‐dependent stability criterion under the H ∞ performance index for the systems is given based on constructing a generalized Lyapunov–Krasovskii function and introducing a new difference inequality. Then, a sufficient condition ensuing the system to be regular, causal as well as stable for all admissible uncertainties is proposed in terms of a set of strict linear matrix inequalities (LMIs). Finally, we provide examples to show the reduced conservatism and effectiveness of the proposed conditions. Copyright © 2014 John Wiley & Sons, Ltd.
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