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		Yuan JIANG,Shutang LIU.[en_title][J].Control Theory and Technology,2009,7(4):379~383.[Copy]

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YuanJIANG,ShutangLIU
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Received:November 12, 2008Revised:May 26, 2009

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Global disturbance rejection of a class of nonlinear systems with unknown exosystems

Yuan JIANG, Shutang LIU

(School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China)

Abstract:

An asymptotic rejection algorithm is proposed for a class of nonlinear systems that have not only additive nonlinear uncertainties but also unknown disturbances. The disturbances are generated from an unknown exosystem, and are assumed to be sinusoidal disturbances with unknown amplitude and frequency. By using the technique of backstepping and adaptive control, a nonlinear state feedback controller is designed. Under the proposed controller, the system’s state variables asymptotically converge to zero, and the disturbances are rejected completely. The approach used is an integration of the robust stabilization technique, adaptive technique, and backstepping technique.

Key words: Internal model principle Nonlinear systems Backstepping Adaptive control Global stability