Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances



Zhen, Chong, Jiffri, Shakir, Li, Daochun, Xiang, Jinwu and Mottershead, John E ORCID: 0000-0003-1279-2562
(2018) Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 98. pp. 1056-1068.

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Abstract

New output feedback-linearisation theory is presented for the treatment of nonlinear vibration problems by a receptance-based approach. An important aspect is a new formulation for investigating the stability of the zero dynamics. The overall methodology possesses the usual benefits of the receptance method, namely that the system matrices (with associated assumptions and approximations) do not have to be known. In addition, it has the distinction of not requiring the form and parameter values of the nonlinearity when the input and output degrees of freedom are away from the nonlinearity itself. This represents a valuable advance over the conventional time-domain feedback linearisation approach.

Item Type: Article
Additional Information: publisher: Elsevier articletitle: Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances journaltitle: Mechanical Systems and Signal Processing articlelink: http://dx.doi.org/10.1016/j.ymssp.2017.05.048 content_type: article copyright: © 2017 The Author(s). Published by Elsevier Ltd.
Uncontrolled Keywords: Nonlinear vibration, Feedback linearisation, Receptance method, Zero dynamics
Depositing User: Symplectic Admin
Date Deposited: 17 Jul 2017 09:07
Last Modified: 19 Jan 2023 06:59
DOI: 10.1016/j.ymssp.2017.05.048
Open Access URL: http://dx.doi.org/10.1016/j.ymssp.2017.05.048
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3008496