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CLC number: TP273

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Received: 2005-05-20

Revision Accepted: 2005-11-25

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.3 P.315-320

http://doi.org/10.1631/jzus.2006.A0315


Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains


Author(s):  Ke Hai-sen, Ye Xu-dong

Affiliation(s):  Department of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   kehaisen@zju.edu.cn

Key Words:  Robust control, Adaptive control, Logic-based switching, Nonlinear system


Ke Hai-sen, Ye Xu-dong. Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains[J]. Journal of Zhejiang University Science A, 2006, 7(3): 315-320.

@article{title="Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains",
author="Ke Hai-sen, Ye Xu-dong",
journal="Journal of Zhejiang University Science A",
volume="7",
number="3",
pages="315-320",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0315"
}

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%T Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains
%A Ke Hai-sen
%A Ye Xu-dong
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 3
%P 315-320
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A0315

TY - JOUR
T1 - Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains
A1 - Ke Hai-sen
A1 - Ye Xu-dong
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 3
SP - 315
EP - 320
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A0315


Abstract: 
In this note, a robust adaptive control scheme is proposed for a class of nonlinear systems that have unknown multiplicative terms. Unlike previous results, except for the unknown control directions, we do not require a priori bounds on the unknown parameters. We also allow the unknown parameters to be time-varying provided that they are bounded. Our proposed robust adaptive controller is designed to identify on-line the unknown control directions and is a switching type controller, in which the controller parameters are tuned in a switching manner via a switching logic. Global stability of the closed-loop systems have been proved.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[6] Lozano, R., Collado, J., Mondie, S., 1990. Model reference robust adaptive control without a priori knowledge of the high frequency gain. IEEE Transactions on Automatic Control, 35(1):71-78.

[7] Mudgett, D.R., Morse, A.S., 1985. Adaptive stabilization of linear systems with unknown high-frequency gains. IEEE Transactions on Automatic Control, 30(6):549-554.

[8] Ye, X.D., 1999. Asymptotic regulation of time-varying uncertain nonlinear systems with unknown control directions. Automatica, 35(5):929-935.

[9] Ye, X.D., 2003. Global adaptive control of nonlinearly parametrized systems. IEEE Transactions on Automatic Control, 48(1):169-173.

[10] Zhang, S.L., Liu, M.Q., 2005. LMI-based approach for global asymptotic stability analysis of continuous BAM neural networks. Journal of Zhejiang University SCIENCE, 6A(1):32-37.

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