Delay‐dependent robust  H  ∞  control for uncertain descriptor systems with multiple state delays | Zendy

Du Zhaoping | Zendy; Zhang Qingling | Zendy; Chang Guisong | Zendy

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Delay‐dependent robust H ∞ control for uncertain descriptor systems with multiple state delays

Author(s) -

Du Zhaoping,

Zhang Qingling,

Chang Guisong

Publication year - 2010

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.918

Subject(s) - control theory (sociology) , impulse (physics) , linear matrix inequality , state (computer science) , mathematics , robust control , full state feedback , h infinity methods in control theory , robustness (evolution) , computer science , control (management) , control system , mathematical optimization , algorithm , engineering , artificial intelligence , physics , quantum mechanics , electrical engineering , biochemistry , chemistry , gene

The problem of delay‐dependent robust H ∞ control for uncertain descriptor systems with multiple state delays is investigated. First, in terms of linear matrix inequality (LMI) approach, a delay‐dependent criterion is given to ensure that the descriptor system is regular, impulse free and stable with H ∞ performance. Based on this criterion, the problem is solved by state feedback controller, which guarantees that the closed‐loop system is regular, impulse free, stable and satisfies a prescribed H ∞ performance condition for all admissible uncertainties. The simulation results are given to illustrate the effectiveness of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.

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