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Global disturbance rejection of a class of nonlinear systems with unknown exosystems
Received:November 12,2008  Revised:May 26,2009
Keywords:Internal model principle  Nonlinear systems  Backstepping  Adaptive control  Global stability
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Yuan JIANG, Shutang LIU School of Control Science and Engineering, Shandong University, Jinan Shandong 250061, China 
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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 systems 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.
Yuan JIANG, Shutang LIU.Global disturbance rejection of a class of nonlinear systems with unknown exosystems[J].Journal of Control Theory and Applications,2009,7(4):379~383.
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