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Title: Non-fragile controllers for a class of time-delay nonlinear systems (English)
Author: Bakule, Lubomír
Author: Sen, Manuel de la
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 1
Year: 2009
Pages: 15-32
Summary lang: English
Category: math
Summary: The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable. (English)
Keyword: decentralized control
Keyword: large scale complex systems
Keyword: nonlinear systems
Keyword: continuous-time systems
Keyword: delay
Keyword: reduced-order systems
MSC: 93A14
MSC: 93A15
MSC: 93B51
MSC: 93C10
MSC: 93D15
idZBL: Zbl 1158.93302
idMR: MR2489578
Date available: 2010-06-02T18:16:41Z
Last updated: 2012-06-06
Stable URL:
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