Tracking desired trajectory in a vibro-impact system using backstepping design

Liang Wang; Wei Xu; Rui Zhao; Chun Yan Sun; Yong Feng Guo

doi:10.1088/0256-307X/26/10/100503

Tracking desired trajectory in a vibro-impact system using backstepping design

Liang Wang, Wei Xu, Rui Zhao, Chun Yan Sun, Yong Feng Guo

School of Mathematics and Statistics

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

2 Scopus citations

Abstract

Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.

Original language	English
Article number	100503
Journal	Chinese Physics Letters
Volume	26
Issue number	10
DOIs	https://doi.org/10.1088/0256-307X/26/10/100503
State	Published - 2009

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title = "Tracking desired trajectory in a vibro-impact system using backstepping design",

abstract = "Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.",

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AU - Guo, Yong Feng

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N2 - Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.

AB - Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.

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Tracking desired trajectory in a vibro-impact system using backstepping design

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