Premium
Delay‐dependent robust stability and stabilization for uncertain discrete singular systems with delays
Author(s) -
Ma Shuping,
Zhang Chenghui,
Cheng Zhaolin
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.108
Subject(s) - invertible matrix , control theory (sociology) , linear matrix inequality , stability (learning theory) , mathematics , discrete time and continuous time , model transformation , robust control , stability conditions , transformation (genetics) , computer science , control (management) , control system , mathematical optimization , engineering , pure mathematics , biochemistry , statistics , chemistry , geometry , consistency (knowledge bases) , artificial intelligence , machine learning , electrical engineering , gene
The robust stability and robust stabilization for time‐delay discrete singular systems with parameter uncertainties is discussed. A delay‐dependent linear matrix inequality (LMI) condition for the time‐delay discrete systems to be nonsingular and stable is given. Based on this condition and the restricted system equivalent transformation, the delay‐dependent LMI condition is proposed for the time‐delay discrete singular systems to be admissible. With this condition, the problems of robust stability and robust stabilization are solved, and the delay‐dependent LMI conditions are obtained. Numerical examples illustrate the effectiveness of the method given in the paper. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society