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DELAY‐DEPENDENT ROBUST CONTROL OF DESCRIPTOR SYSTEMS WITH TIME DELAY
Author(s) -
Zhong Renxin,
Yang Zhi
Publication year - 2006
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 - 10.1111/j.1934-6093.2006.tb00249.x
Subject(s) - bounding overwatch , control theory (sociology) , model transformation , mathematics , linear matrix inequality , bounded function , robust control , norm (philosophy) , stability (learning theory) , state (computer science) , transformation (genetics) , control (management) , computer science , control system , mathematical optimization , engineering , algorithm , mathematical analysis , biochemistry , chemistry , geometry , consistency (knowledge bases) , artificial intelligence , machine learning , law , political science , electrical engineering , gene
This paper deals with the problem of stability and robust control for both certain and uncertain continuous‐time singular systems with state delay. Systems with norm‐bounded parameter uncertainties are considered. Robust delay‐dependent stability criteria and linear memoryless state feedback controllers based on linear matrix inequality are obtained. By choosing some Lyapunov‐Krasovskii functionals, neither model transformation nor bounding for cross terms is required in the derivation of our delay‐dependent results. Finally, numerical example is provided to illustrate the effectiveness of the proposed method.