Experimental feedback linearisation of a non-smooth nonlinear system by the method of receptances



Lisitano, Domenico, Jiffri, Shakir, Bonisoli, Elvio and Mottershead, John E ORCID: 0000-0003-1279-2562
(2019) Experimental feedback linearisation of a non-smooth nonlinear system by the method of receptances. MATHEMATICS AND MECHANICS OF SOLIDS, 24 (2). pp. 465-482.

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Abstract

<jats:p> Input–output partial feedback linearisation is experimentally implemented on a non-smooth nonlinear system without the necessity of a conventional system matrix model for the first time. The experimental rig consists of three lumped masses connected and supported by springs with low damping. The input and output are at the first degree of freedom with a non-smooth clearance-type nonlinearity at the third degree of freedom. Feedback linearisation has the effect of separating the system into two parts: one linear and controllable and the other nonlinear and uncontrollable. When control is applied to the former, the latter must be shown to be stable if the complete system is to be stable with the desired dynamic behaviour. </jats:p>

Item Type: Article
Uncontrolled Keywords: Active vibration control, receptance method, non-smooth nonlinearity, feedback linearisation
Depositing User: Symplectic Admin
Date Deposited: 24 Jan 2018 09:40
Last Modified: 19 Jan 2023 06:42
DOI: 10.1177/1081286517744601
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3016702

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