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Rejection of persistent‐bounded disturbances in continuous time‐delay systems using observer‐based feedback
Author(s) -
Mahmoud Magdi S.,
Saif AbdulWahid
Publication year - 2009
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.914
Subject(s) - control theory (sociology) , bounded function , observer (physics) , mathematics , lyapunov function , attractor , invariant (physics) , computer science , nonlinear system , control (management) , mathematical analysis , artificial intelligence , physics , quantum mechanics , mathematical physics
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.