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An adaptive regulation method for a class of uncertain time‐delay systems
Author(s) -
Moezzi Kaveh,
Aghdam Amir G.
Publication year - 2013
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.2356
Subject(s) - control theory (sociology) , scheme (mathematics) , adaptive control , state (computer science) , class (philosophy) , controller (irrigation) , upper and lower bounds , exponential stability , computer science , stability (learning theory) , full state feedback , mathematics , control (management) , algorithm , nonlinear system , artificial intelligence , mathematical analysis , physics , quantum mechanics , machine learning , agronomy , biology
SUMMARY In this paper, a new adaptive robust stabilization scheme is proposed for uncertain neutral time‐delay systems. No upper bounds on the uncertainties are assumed to be available. An update law is first used to find estimates of these upper bounds. A state‐feedback controller is then designed, which is shown to stabilize the underlying system under some mild conditions. The asymptotic stability of the state trajectories is proved using the Lyapunov–Krasovskii approach. An example is provided, which demonstrates the efficacy of the proposed adaptive control scheme. Copyright © 2012 John Wiley & Sons, Ltd.