Bifurcation control of a Duffing oscillator using pole placement

Ghandchi Tehrani, Maryam, Wilmshurst, Laurence and Elliott, Stephen J. (2014) Bifurcation control of a Duffing oscillator using pole placement Journal of Vibration and Control (doi:10.1177/1077546313517586).


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This paper presents a numerical study on the control of frequency-domain bifurcation in forced Duffing oscillators, through the use of pole placement techniques. First, the bifurcation frequency range of the Duffing oscillator is identified using the system and forcing parameters. A linear state feedback controller is then applied to the system, in order to assign the peak resonance frequency to a prescribed value, such that bifurcation is minimized or eliminated in the closed-loop system. Additional constraints are applied to the pole placement in order to minimize the control effort, such as assigning the closed-loop poles within an elliptical region in the complex domain. Finally, a constraint is placed on the maximum forcing level, such that bifurcation will not occur at relatively small forcing amplitudes. These techniques are demonstrated using several numerical examples

Item Type: Article
Digital Object Identifier (DOI): doi:10.1177/1077546313517586
ISSNs: 1077-5463 (print)
Subjects: Q Science > QC Physics
Organisations: Signal Processing & Control Grp
ePrint ID: 367744
Date :
Date Event
24 January 2014Published
Date Deposited: 28 Aug 2014 14:23
Last Modified: 17 Apr 2017 13:17
Further Information:Google Scholar

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