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An adaptive switching scheme for uncertain discrete time‐delay systems
Author(s) -
Moezzi Kaveh,
Momeni Ahmadreza,
Aghdam Amir G.
Publication year - 2010
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.1083
Subject(s) - control theory (sociology) , scheme (mathematics) , upper and lower bounds , bounded function , discrete time and continuous time , computer science , set (abstract data type) , stability (learning theory) , adaptive control , control (management) , mathematics , mathematical analysis , statistics , artificial intelligence , machine learning , programming language
In this paper, an adaptive switching control algorithm is proposed for the stabilization of uncertain discrete‐time systems with time‐varying delay. It is assumed that the time delay is unknown and time varying, nonetheless bounded with a known bound. It is supposed that the system is highly uncertain, and that a set of controllers are designed (off‐line) to stabilize the system in the whole uncertain parameter space; subsequently, a switching scheme is developed to stabilize the uncertain time‐delay system. A thorough stability analysis for the uncertain time‐delay system under the mentioned control scheme is provided. Furthermore, an upper bound on the allowable rate of change of the system parameters and delay is obtained. Simulation results are presented to show the efficacy of the proposed switching scheme. Copyright © 2008 John Wiley & Sons, Ltd.