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Decentralized output‐feedback stabilization for interconnected discrete systems with unknown delays
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.922
Subject(s) - control theory (sociology) , nonlinear system , bounded function , scheme (mathematics) , stability (learning theory) , decentralised system , convex optimization , output feedback , state (computer science) , quadratic equation , computer science , linear matrix inequality , class (philosophy) , regular polygon , mathematical optimization , mathematics , control (management) , mathematical analysis , physics , geometry , algorithm , quantum mechanics , machine learning , artificial intelligence
Abstract The decentralized feedback stabilization problem of a class of nonlinear interconnected discrete‐time systems is considered. This class of systems has unknown‐but‐bounded state‐delay and uncertain nonlinear perturbations satisfying quadratic constraints that are functions of the overall state and delayed state vectors. A decentralized output feedback scheme is proposed and analyzed such that the overall closed‐loop system guarantees global delay‐dependent stability condition, derived in terms of local subsystem variables. Incorporating feedback gain perturbations, new resilient decentralized feedback scheme is subsequently developed. The proposed approach is formulated within the framework of convex optimization over linear matrix inequalities. Simulation results illustrate the effectiveness of the proposed decentralized output‐feedback controllers. Copyright © 2009 John Wiley & Sons, Ltd.