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# Bifurcation control of a Duffing oscillator using pole placement

Record type: Article

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

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## Citation

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

Published date: 24 January 2014
Organisations: Signal Processing & Control Grp

## Identifiers

Local EPrints ID: 367744
URI: http://eprints.soton.ac.uk/id/eprint/367744
ISSN: 1077-5463
PURE UUID: 2b119435-5701-4868-981a-995ecd8e9862

## Catalogue record

Date deposited: 28 Aug 2014 14:23

## Contributors

Author: Laurence Wilmshurst