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Rejection of Nonharmonic Disturbances in Nonlinear Systems With Semi-Global Stability

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3 Author(s)
Cai-Lian Chen ; Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai ; Zhengtao Ding ; Lennox, B.

An asymptotic rejection algorithm is proposed for nonlinear dynamic systems under nonharmonic periodic disturbances generated from nonlinear exosystems. The dynamic systems considered in this brief are in the normal form, a larger class of nonlinear dynamic systems than the output feedback systems. A new internal model design method is used to exploit the nonlinearities in the exosystem, together with high gain design to achieve asymptotic rejection of nonharmonic disturbances with the guaranteed semi-global stability of the overall system. An illustrative example demonstrates that the proposed algorithm can completely reject the nonharmonic periodic disturbances generated from a Van der Pol circuit.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:55 ,  Issue: 12 )