Premium
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.