Nonlinear problems of the ball-and-beam system

Zhen He; Yi Wang; Chang Hao Zhou; Yan Wen Liu

doi:10.1360/aas-007-0550

Nonlinear problems of the ball-and-beam system

Zhen He^*
, Yi Wang
, Chang Hao Zhou
, Yan Wen Liu

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Harbin Engineering University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The real problem of the ball-and-beam system is not the nonlinear behavior under large excursions, but the limit cycle around the equilibrium point. It is pointed out that the limit cycle is caused by the hysteresis behavior of the ball during rolling. A pole placement method is proposed to avoid the limit cycle. The analysis is verified by simulation and by experiment. The stabilization approach for the ball-and-beam system is also proved to be correct.

Original language	English
Pages (from-to)	550-553
Number of pages	4
Journal	Zidonghua Xuebao/Acta Automatica Sinica
Volume	33
Issue number	5
DOIs	https://doi.org/10.1360/aas-007-0550
State	Published - May 2007

Keywords

Ball-and-beam system
Hysteresis
Limit cycle
Pole placement

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10.1360/aas-007-0550

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title = "Nonlinear problems of the ball-and-beam system",

abstract = "The real problem of the ball-and-beam system is not the nonlinear behavior under large excursions, but the limit cycle around the equilibrium point. It is pointed out that the limit cycle is caused by the hysteresis behavior of the ball during rolling. A pole placement method is proposed to avoid the limit cycle. The analysis is verified by simulation and by experiment. The stabilization approach for the ball-and-beam system is also proved to be correct.",

keywords = "Ball-and-beam system, Hysteresis, Limit cycle, Pole placement",

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AU - He, Zhen

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AU - Zhou, Chang Hao

AU - Liu, Yan Wen

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N2 - The real problem of the ball-and-beam system is not the nonlinear behavior under large excursions, but the limit cycle around the equilibrium point. It is pointed out that the limit cycle is caused by the hysteresis behavior of the ball during rolling. A pole placement method is proposed to avoid the limit cycle. The analysis is verified by simulation and by experiment. The stabilization approach for the ball-and-beam system is also proved to be correct.

AB - The real problem of the ball-and-beam system is not the nonlinear behavior under large excursions, but the limit cycle around the equilibrium point. It is pointed out that the limit cycle is caused by the hysteresis behavior of the ball during rolling. A pole placement method is proposed to avoid the limit cycle. The analysis is verified by simulation and by experiment. The stabilization approach for the ball-and-beam system is also proved to be correct.

KW - Ball-and-beam system

KW - Hysteresis

KW - Limit cycle

KW - Pole placement

UR - https://www.scopus.com/pages/publications/34250361920

U2 - 10.1360/aas-007-0550

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M3 - 文章

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ER -

Nonlinear problems of the ball-and-beam system

Abstract

Keywords

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