Control of Co-existing Attractors

Yang Liu, Marian Wiercigroch, James Ing

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationTokyo University of Technology Press
Publication statusPublished - Dec 2012
Event2nd IFToMM Asian Conference on Mechanism and Machine Science - Tokyo, Japan
Duration: 7 Nov 201210 Nov 2012

Conference

Conference2nd IFToMM Asian Conference on Mechanism and Machine Science
CountryJapan
CityTokyo
Period7/11/1210/11/12

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Dynamical systems
Trajectories

Cite this

Liu, Y., Wiercigroch, M., & Ing, J. (2012). Control of Co-existing Attractors. In Tokyo University of Technology Press

Control of Co-existing Attractors. / Liu, Yang; Wiercigroch, Marian; Ing, James.

Tokyo University of Technology Press. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Liu, Y, Wiercigroch, M & Ing, J 2012, Control of Co-existing Attractors. in Tokyo University of Technology Press. 2nd IFToMM Asian Conference on Mechanism and Machine Science , Tokyo, Japan, 7/11/12.
Liu Y, Wiercigroch M, Ing J. Control of Co-existing Attractors. In Tokyo University of Technology Press. 2012
Liu, Yang ; Wiercigroch, Marian ; Ing, James. / Control of Co-existing Attractors. Tokyo University of Technology Press. 2012.
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