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Robust decentralized model reference adaptive control of discrete-time interconnected systems
Authors:M KAMOUN  A TITLI  M B A KAMOUN
Affiliation:1. Automatic Control Laboratory, School of Engineering, University of Sfax , Sfax, Tunisia;2. N.S.A., Av. de Rangueil, 31077 Toulouse;3. and L.A.A.S. du C.N.R.S. 7, Av. du ColonelRoche, Toulouse, 31077, France
Abstract:A robust decentralized model reference adaptive controller is proposed for a class of large-scale systems composed of several interconnected subsystems and described by state space equations. We have formulated a local adaptive controller for each subsystem using only local information such that the state of this subsystem tracks the corresponding state of a reference model. The content of the paper is limited to interconnected subsystems which are described by linear, deterministic, single-input single-output and discrete-time models with unknown and/or slowly time-varying parameters. Sufficient conditions, formulated by utilizing Lyapunov theory, are given for the overall system to be stabilizable by decentralized state feedback adaptive control laws. The results are illustrated by a numerical example.
Keywords:
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