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Delay‐dependent robust H ∞ control for uncertain singular time‐delay system with Markovian jumping parameters
Author(s) -
Lu Hongqian,
Zhou Wuneng,
Duan Chunmei,
Qi Xingguang
Publication year - 2012
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.2021
Subject(s) - control theory (sociology) , jumping , impulse (physics) , markov process , mathematics , basis (linear algebra) , bounded function , norm (philosophy) , jump , state (computer science) , constant (computer programming) , computer science , control (management) , mathematical analysis , physics , algorithm , law , physiology , statistics , geometry , quantum mechanics , artificial intelligence , political science , biology , programming language
SUMMARY The problem of robust H ∞ control for a class of uncertain singular time‐delay systems with Markovian jumping parameters is addressed in this paper. The considered Markovian jump singular systems involve constant time delay and norm‐bounded uncertainties. On the basis of LMI approach, a delay‐dependent condition is proposed, which ensures the nominal Markovian jump singular system to be regular, impulse‐free and stochastically stable. From the delay‐dependent condition, a sufficient condition leading to the existence of a state feedback controller that guarantees the robust admissibility and the H ∞ performance is also given. A numerical example is given to demonstrate the applicability of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd.