Rejection of nonharmonic disturbances in nonlinear systems

Shutang Liu; Yuan Jiang; Ping Liu

Kybernetika (2010)

  • Volume: 46, Issue: 5, page 785-798
  • ISSN: 0023-5954

Abstract

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This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The proposed algorithm can be used in many applications, e. g. active vibration control, and the avoidance of nonharmonic distortion in nonlinear circuits. An example is shown that the proposed algorithm can completely reject the nonharmonic periodic disturbances generated from a Van der Pol circuit.

How to cite

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Liu, Shutang, Jiang, Yuan, and Liu, Ping. "Rejection of nonharmonic disturbances in nonlinear systems." Kybernetika 46.5 (2010): 785-798. <http://eudml.org/doc/197156>.

@article{Liu2010,
abstract = {This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The proposed algorithm can be used in many applications, e. g. active vibration control, and the avoidance of nonharmonic distortion in nonlinear circuits. An example is shown that the proposed algorithm can completely reject the nonharmonic periodic disturbances generated from a Van der Pol circuit.},
author = {Liu, Shutang, Jiang, Yuan, Liu, Ping},
journal = {Kybernetika},
keywords = {disturbance rejection; nonharmonic periodic disturbances; global stability; Van der Pol circuit; vibration control; disturbance rejection; nonharmonic periodic disturbances; global stability; van der Pol circuit; vibration control},
language = {eng},
number = {5},
pages = {785-798},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rejection of nonharmonic disturbances in nonlinear systems},
url = {http://eudml.org/doc/197156},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Liu, Shutang
AU - Jiang, Yuan
AU - Liu, Ping
TI - Rejection of nonharmonic disturbances in nonlinear systems
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 5
SP - 785
EP - 798
AB - This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The proposed algorithm can be used in many applications, e. g. active vibration control, and the avoidance of nonharmonic distortion in nonlinear circuits. An example is shown that the proposed algorithm can completely reject the nonharmonic periodic disturbances generated from a Van der Pol circuit.
LA - eng
KW - disturbance rejection; nonharmonic periodic disturbances; global stability; Van der Pol circuit; vibration control; disturbance rejection; nonharmonic periodic disturbances; global stability; van der Pol circuit; vibration control
UR - http://eudml.org/doc/197156
ER -

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