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		Baozhu GUO,Wei GUO.[en_title][J].Control Theory and Technology,2003,1(1):35~42.[Copy]

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BaozhuGUO,WeiGUO
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High-gain adaptive regulator for a string equation with uncertain harmonic disturbance under boundary output feedback control

Baozhu GUO, Wei GUO

(Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, China)

Abstract:

This paper considers the boundary stabilization and parameter estimation of a one-dimensional wave equation in the case when one end is fixed and control and harmonic disturbance with uncertain amplitude are input at another end. A high-gain adaptive regulator is designed in terms of measured collocated end velocity. The existence and uniqueness of the classical solution of the closed-loop system is proven. It is shown that the state of the system approaches the standstill as time goes to infinity and meanwhile , the estimated parameter converges to the unknown parameter.

Key words: String equation Adaptive reguktor Harmonic disturbance rejection