A delay‐dependent bounded real lemma for singular LPV systems with time‐variant delay | Zendy

Li Fanbiao | Zendy; Zhang Xian | Zendy

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A delay‐dependent bounded real lemma for singular LPV systems with time‐variant delay

Author(s) -

Li Fanbiao,

Zhang Xian

Publication year - 2012

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.1714

Subject(s) - bounded function , lemma (botany) , mathematics , control theory (sociology) , computer science , mathematical analysis , control (management) , ecology , poaceae , artificial intelligence , biology

SUMMARY This paper is concerned with establishing a delay‐dependent bounded real lemma (BRL) for singular linear parameter‐varying (LPV) systems with time‐variant delay. In terms of linear matrix inequality, a delay‐dependent BRL is presented to ensure singular time‐delay LPV systems to be admissible and satisfy a prescribed H ∞ performance level. The BRL is obtained based on the construction of a parameter‐dependent Lyapunov–Krasovskii functional. The effectiveness of the proposed approach is shown by several numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.

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