Control of Co-existing Attractors

Yang Liu; Marian Wiercigroch; James Ing

Abstract

This paper proposes a new control method for a class of dynamical systems that naturally exhibit stable co-existing attractors. The main idea is based on understanding of the system’s basins of attraction where the control action is being switched on only when the displacements of the actual and the desired trajectories are crossing in time domain. The method has been applied to control both continuous and discontinuous systems, where a Duffing oscillator and an impact oscillator were used as examples. Numerical results are presented to demonstrate the effectiveness of the proposed method.

Original language	English
Publication status	Published - Dec 2012
Event	2nd IFToMM Asian Conference on Mechanism and Machine Science - Tokyo, Japan Duration: 7 Nov 2012 → 10 Nov 2012

Conference

Conference	2nd IFToMM Asian Conference on Mechanism and Machine Science
Country/Territory	Japan
City	Tokyo
Period	7/11/12 → 10/11/12

Cite this

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title = "Control of Co-existing Attractors",

abstract = "This paper proposes a new control method for a class of dynamical systems that naturally exhibit stable co-existing attractors. The main idea is based on understanding of the system{\textquoteright}s basins of attraction where the control action is being switched on only when the displacements of the actual and the desired trajectories are crossing in time domain. The method has been applied to control both continuous and discontinuous systems, where a Duffing oscillator and an impact oscillator were used as examples. Numerical results are presented to demonstrate the effectiveness of the proposed method.",

author = "Yang Liu and Marian Wiercigroch and James Ing",

year = "2012",

month = dec,

language = "English",

note = "2nd IFToMM Asian Conference on Mechanism and Machine Science ; Conference date: 07-11-2012 Through 10-11-2012",

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TY - CONF

T1 - Control of Co-existing Attractors

AU - Liu, Yang

AU - Wiercigroch, Marian

AU - Ing, James

PY - 2012/12

Y1 - 2012/12

N2 - This paper proposes a new control method for a class of dynamical systems that naturally exhibit stable co-existing attractors. The main idea is based on understanding of the system’s basins of attraction where the control action is being switched on only when the displacements of the actual and the desired trajectories are crossing in time domain. The method has been applied to control both continuous and discontinuous systems, where a Duffing oscillator and an impact oscillator were used as examples. Numerical results are presented to demonstrate the effectiveness of the proposed method.

AB - This paper proposes a new control method for a class of dynamical systems that naturally exhibit stable co-existing attractors. The main idea is based on understanding of the system’s basins of attraction where the control action is being switched on only when the displacements of the actual and the desired trajectories are crossing in time domain. The method has been applied to control both continuous and discontinuous systems, where a Duffing oscillator and an impact oscillator were used as examples. Numerical results are presented to demonstrate the effectiveness of the proposed method.

M3 - Abstract

T2 - 2nd IFToMM Asian Conference on Mechanism and Machine Science

Y2 - 7 November 2012 through 10 November 2012

ER -

Control of Co-existing Attractors

Abstract

Conference

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