Delay‐dependent stability and robust  L  2  − L   ∞   control for a class of fuzzy descriptor systems with time‐varying delay | Zendy

Kchaou Mourad | Zendy; Souissi Mansour | Zendy; Toumi Ahmed | Zendy

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Delay‐dependent stability and robust L 2 − L ∞ control for a class of fuzzy descriptor systems with time‐varying delay

Author(s) -

Kchaou Mourad,

Souissi Mansour,

Toumi Ahmed

Publication year - 2013

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.1832

Subject(s) - control theory (sociology) , impulse (physics) , parametric statistics , mathematics , fuzzy logic , fuzzy control system , class (philosophy) , stability (learning theory) , robust control , control system , computer science , control (management) , engineering , physics , artificial intelligence , statistics , quantum mechanics , machine learning , electrical engineering

SUMMARY In this paper, the problem of delay‐dependent robust L 2 − L ∞ (energy to peak) control for a class of uncertain fuzzy descriptor systems with time‐varying delay is investigated. The parametric uncertainties are assumed to be of a linear fractional form involving all system matrices. First, a delay‐dependent criterion is given in terms of LMIs to guarantee that the fuzzy descriptor system is regular, impulse free, and stable. Based on this criterion, a state fuzzy feedback controller is designed to ensure that the closed‐loop system is regular, impulse free, and robustly stable with a prescribed L 2 − L ∞ performance satisfied for all admissible parameter uncertainties. Numerical examples are given to show the effectiveness of the proposed approach. Copyright © 2011 John Wiley & Sons, Ltd.

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