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Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity

D. Lisitano, Shakir Jiffri Orcid Logo, E. Bonisoli, J.E. Mottershead

Journal of Sound and Vibration, Volume: 416, Pages: 192 - 212

Swansea University Author: Shakir Jiffri Orcid Logo

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DOI (Published version): 10.1016/j.jsv.2017.11.047

Abstract

Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that...

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Published in: Journal of Sound and Vibration
ISSN: 0022-460X
Published: Elsevier BV 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa39599
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Abstract: Input-output partial feedback linearisation is demonstrated experimentally for the first time on a system with non-smooth nonlinearity, a laboratory three degrees of freedom lumped mass system with a piecewise-linear spring. The output degree of freedom is located away from the nonlinearity so that the partial feedback linearisation possesses nonlinear internal dynamics. The dynamic behaviour of the linearised part is specified by eigenvalue assignment and an investigation of the zero dynamics is carried out to confirm stability of the overall system. A tuned numerical model is developed for use in the controller and to produce numerical outputs for comparison with experimental closedloop results. A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems e that the input and output must share the same degrees of freedom.
Keywords: Non-smooth systems, Active control, Feedback linearisation
College: Faculty of Science and Engineering
Start Page: 192
End Page: 212

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