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

Lisitano, D, Jiffri, S, Bonisoli, E and Mottershead, JE ORCID: 0000-0003-1279-2562 (2018) Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity. JOURNAL OF SOUND AND VIBRATION, 416. pp. 192-212.

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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 closed-loop results. A new limitation of the feedback linearisation method is discovered in the case of lumped mass systems – that the input and output must share the same degrees of freedom.

Item Type:	Article
Uncontrolled Keywords:	Non-smooth systems, Active control, Feedback linearisation
Depositing User:	Symplectic Admin
Date Deposited:	24 Nov 2017 16:02
Last Modified:	19 Jan 2023 06:49
DOI:	10.1016/j.jsv.2017.11.047
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3012830