Limitations of FxLMS in feedforward active vibration control of a nonlinear two degree of freedom system
Limitations of FxLMS in feedforward active vibration control of a nonlinear two degree of freedom system
Active control systems are often used to surmount the challenges associated with passive noise and vibration control measures to control low frequency disturbances, since they achieve control without the application of large or heavy control treatments. Historically, linear active control strategies have been used in feedforward control systems to drive the control source to minimise the signal measured at the error sensor. Amongst the various control algorithms available, the Filtered-reference Least Means Squares (FxLMS) algorithm has become extremely popular in the last few decades due to its relatively good performance and high level of robustness, as well as simplicity in both design and application. However, when the system under control contains nonlinearities, either in the primary or secondary paths, the performance of the FxLMS algorithm can degrade dramatically. This paper explores the performance limitations of the FxLMS algorithm when applied to the control of a two degree of freedom mass-spring-damper system with linear and cubic nonlinear stiffness terms. The aim of this study is to improve understanding of and inspire better design of nonlinear control systems. The effect of the nonlinearity on the statistical uncertainty in the plant model is discussed, as well as the effect on reliable control performance.
Pike, Alexander
1cd3f629-7971-4b9c-9b4a-636df608bbe0
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
21 August 2022
Pike, Alexander
1cd3f629-7971-4b9c-9b4a-636df608bbe0
Cheer, Jordan
8e452f50-4c7d-4d4e-913a-34015e99b9dc
Pike, Alexander and Cheer, Jordan
(2022)
Limitations of FxLMS in feedforward active vibration control of a nonlinear two degree of freedom system.
In Proceedings of InterNoise 2022.
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Abstract
Active control systems are often used to surmount the challenges associated with passive noise and vibration control measures to control low frequency disturbances, since they achieve control without the application of large or heavy control treatments. Historically, linear active control strategies have been used in feedforward control systems to drive the control source to minimise the signal measured at the error sensor. Amongst the various control algorithms available, the Filtered-reference Least Means Squares (FxLMS) algorithm has become extremely popular in the last few decades due to its relatively good performance and high level of robustness, as well as simplicity in both design and application. However, when the system under control contains nonlinearities, either in the primary or secondary paths, the performance of the FxLMS algorithm can degrade dramatically. This paper explores the performance limitations of the FxLMS algorithm when applied to the control of a two degree of freedom mass-spring-damper system with linear and cubic nonlinear stiffness terms. The aim of this study is to improve understanding of and inspire better design of nonlinear control systems. The effect of the nonlinearity on the statistical uncertainty in the plant model is discussed, as well as the effect on reliable control performance.
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Published date: 21 August 2022
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Local EPrints ID: 471166
URI: http://eprints.soton.ac.uk/id/eprint/471166
PURE UUID: c0c6a029-5232-4636-9981-ac8bab6dcc44
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Date deposited: 28 Oct 2022 17:16
Last modified: 17 Mar 2024 03:23
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