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Adaptive robust H ∞ state feedback control for linear uncertain systems with time‐varying delay
Author(s) -
Ye Dan,
Yang Guang Hong
Publication year - 2008
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.1025
Subject(s) - control theory (sociology) , adaptive control , robust control , bounded function , linear matrix inequality , controller (irrigation) , linear system , state (computer science) , computer science , full state feedback , stability (learning theory) , mathematics , control (management) , mathematical optimization , control system , engineering , algorithm , mathematical analysis , agronomy , artificial intelligence , machine learning , electrical engineering , biology
This paper considers the problem of adaptive robust H ∞ state feedback control for linear uncertain systems with time‐varying delay. The uncertainties are assumed to be time varying, unknown, but bounded. A new adaptive robust H ∞ controller is presented, whose gains are updating automatically according to the online estimates of uncertain parameters. By combining an indirect adaptive control method and a linear matrix inequality method, sufficient conditions with less conservativeness than those of the corresponding controller with fixed gains are given to guarantee robust asymptotic stability and H ∞ performance of the closed‐loop systems. A numerical example and its simulation results are given to demonstrate the effectiveness and the benefits of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.