JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2011, Vol. 41 ›› Issue (1): 49-53.

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Global disturbance rejection of a class of nonlinear systems with unknown external disturbances

JIANG Yuan1,2, LIU Shu-tang1*   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
    2. School of Information Engineering, Nanchang Hangkong University, Nanchang 330063, China
  • Received:2010-04-20 Online:2011-02-16 Published:2010-04-20

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Abstract:

The global rejection problem for a class of nonlinear systems with unknown external disturbances was studied. The unknown external disturbances contain an unknown bounded disturbance and a class of nonharmonic periodic disturbance generated by a nonlinear exosystem. Based on the normalized parameter internal model, a new nonlinear internal model was designed by utilizing the state variable system and the external system structure. Based on the controller for the disturbancefree system, a state feedback controller was designed to ensure all the signals of the closedloop system were globally uniformly bounded. Simulation results showed the effectiveness of the proposed control algorithm.

Key words: non-harmonic periodic disturbances, global stability, Van der Pol oscillator,  disturbance rejection

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