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Rejection of persistent‐bounded disturbances in linear time‐delay systems by output‐feedback
Author(s) -
Mahmoud Magdi S.
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.907
Subject(s) - control theory (sociology) , bounded function , mathematics , lyapunov function , attractor , invariant (physics) , set (abstract data type) , linear system , output feedback , controller (irrigation) , computer science , nonlinear system , control (management) , mathematical analysis , physics , quantum mechanics , artificial intelligence , mathematical physics , programming language , agronomy , biology
In this paper, the problem of persistent‐bounded disturbance rejection of linear continuous‐time systems with time‐varying delays is investigated using the tools of invariant set analysis and Lyapunov‐function methodology. We derive less conservative sufficient conditions on robust attractor for time‐delay systems in terms of strict linear matrix inequalities (LMIs) to guarantee the desired ℒ 1 ‐performance. A robust output‐feedback controller is designed and the associated gain is determined using strict LMIs. The developed results are tested on two representative time‐delay examples. Copyright © 2009 John Wiley & Sons, Ltd.