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Robust delay‐dependent guaranteed cost controller design for uncertain nonlinear neutral systems with time‐varying state delays
Author(s) -
Parlakçı M. N. Alpaslan
Publication year - 2010
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.1437
Subject(s) - bounding overwatch , control theory (sociology) , nonlinear system , bounded function , model transformation , robust control , norm (philosophy) , mathematics , linear matrix inequality , state (computer science) , computer science , mathematical optimization , control (management) , law , algorithm , mathematical analysis , physics , geometry , consistency (knowledge bases) , quantum mechanics , artificial intelligence , political science
In this paper, the problem of robust delay‐dependent guaranteed cost control for uncertain nonlinear neutral systems with time‐varying state delay is investigated. The control law is chosen to be a memoryless type one. Neither any model transformation nor bounding of any cross terms are utilized. The system under consideration may be subjected to both norm‐bounded uncertainties and nonlinear parameter perturbations. A delay‐dependent sufficient condition is obtained in terms of a matrix inequality for which a cone complementarity problem is introduced to provide a feasible solution set. Two numerical examples have been demonstrated to show the effective application of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.