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Adaptive control of tonal disturbance in mechanical systems with nonlinear damping

Adaptive control of tonal disturbance in mechanical systems with nonlinear damping
Adaptive control of tonal disturbance in mechanical systems with nonlinear damping
This paper describes an adaptive system to control the tonal vibration of a single-degree-of-freedom system with nonlinear damping. The adaptive control system consists of a force actuator in parallel with the suspension, which includes the nonlinear damper, and a velocity sensor mounted on the mass. The adaptation of the controller is done once every period of the excitation. Since the response of the nonlinear system changes with excitation level, conventional adaptive algorithms, with a linear model of the plant, can be slow to converge and may not achieve the desired performance. An on-line observer is used to obtain a describing function model of the plant, which can vary with the excitation level. This allows the adaptive control algorithm to converge more quickly than using a fixed plant model, although care has to be taken to ensure that the dynamics of the observer do not interfere with the dynamics of the adaptive controller.
adaptive control, cubic damping, higher-harmonic-control, nonlinear damping, nonlinear feedforward control
1077-5463
1166-1182
Zilletti, M.
5dbddbf0-751b-415f-b87a-c1e91be86c85
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44
Zilletti, M.
5dbddbf0-751b-415f-b87a-c1e91be86c85
Elliott, S.J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Ghandchi Tehrani, M.
c2251e5b-a029-46e2-b585-422120a7bc44

Zilletti, M., Elliott, S.J. and Ghandchi Tehrani, M. (2017) Adaptive control of tonal disturbance in mechanical systems with nonlinear damping. Journal of Vibration and Control, 23 (7), 1166-1182. (doi:10.1177/1077546315590038).

Record type: Article

Abstract

This paper describes an adaptive system to control the tonal vibration of a single-degree-of-freedom system with nonlinear damping. The adaptive control system consists of a force actuator in parallel with the suspension, which includes the nonlinear damper, and a velocity sensor mounted on the mass. The adaptation of the controller is done once every period of the excitation. Since the response of the nonlinear system changes with excitation level, conventional adaptive algorithms, with a linear model of the plant, can be slow to converge and may not achieve the desired performance. An on-line observer is used to obtain a describing function model of the plant, which can vary with the excitation level. This allows the adaptive control algorithm to converge more quickly than using a fixed plant model, although care has to be taken to ensure that the dynamics of the observer do not interfere with the dynamics of the adaptive controller.

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More information

Accepted/In Press date: 7 May 2015
e-pub ahead of print date: 13 July 2015
Published date: 1 April 2017
Keywords: adaptive control, cubic damping, higher-harmonic-control, nonlinear damping, nonlinear feedforward control
Organisations: Inst. Sound & Vibration Research

Identifiers

Local EPrints ID: 384986
URI: http://eprints.soton.ac.uk/id/eprint/384986
ISSN: 1077-5463
PURE UUID: 4a5e916f-a808-4475-9ff1-2c03eba74455

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Date deposited: 14 Jan 2016 15:38
Last modified: 14 Mar 2024 22:08

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Contributors

Author: M. Zilletti
Author: S.J. Elliott

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