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Robust l 2 − l ∞ state feedback control for uncertain discrete‐time switched systems with mode‐dependent time‐varying delays
Author(s) -
Zong Guangdeng,
Hou Linlin,
Xu Shengyuan
Publication year - 2010
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.208
Subject(s) - control theory (sociology) , state (computer science) , discrete time and continuous time , mode (computer interface) , stability (learning theory) , controller (irrigation) , linear matrix inequality , output feedback , control (management) , feedback control , mathematics , full state feedback , robust control , computer science , control system , mathematical optimization , engineering , control engineering , algorithm , electrical engineering , artificial intelligence , machine learning , agronomy , biology , operating system , statistics
This paper deals with the problem of robust l 2 − l ∞ state feedback control for uncertain discrete‐time switched systems with mode‐dependent time‐varying delays. Attention is focused on the design of a switched state feedback controller, which guarantees the asymptotical stability of the closed‐loop system and reduces the effect of the disturbance input on the controlled output to a prescribed level for all admissible uncertainties. By resorting to a descriptor system approach, delay‐dependent sufficient conditions are presented in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed algorithms. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society