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Decentralized adaptive control for a class of large‐scale systems with multiple delays in the interconnections
Author(s) -
Oucheriah Said
Publication year - 2005
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.829
Subject(s) - control theory (sociology) , mathematical optimization , class (philosophy) , convergence (economics) , exponential stability , exponential growth , interconnection , decentralised system , optimization problem , scale (ratio) , computer science , state (computer science) , mathematics , rate of convergence , control (management) , nonlinear system , algorithm , key (lock) , artificial intelligence , mathematical analysis , computer network , physics , computer security , quantum mechanics , economics , economic growth
In this paper, we consider the decentralized stabilization problem of a class of large‐scale systems subject to uncertain parameters and multiple time‐varying delays in the interconnections and non‐linear inputs. The interconnection matrices are subject to perturbations whose bounds are unknown. Decentralized memoryless adaptive controllers are synthesized within an LMI framework to guarantee that the state trajectories of the large‐scale system are uniformly exponentially convergent towards a ball with any prespecified exponential convergence rate. The problem is formulated as an optimization problem with LMI constraints. Finally, an example is included to illustrate the results developed in this paper. Copyright © 2004 John Wiley & Sons, Ltd.