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Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances / Chong Zhen, Shakir Jiffri, Daochun Li, Jinwu Xiang, John E. Mottershead

Mechanical Systems and Signal Processing, Volume: 98, Pages: 1056 - 1068

Swansea University Author: Shakir Jiffri

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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 receptanc...

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Published in: Mechanical Systems and Signal Processing
ISSN: 0888-3270
Published: 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa36831
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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.
Keywords: Nonlinear vibration, Feedback linearisation, Receptance method, Zero dynamics
College: College of Engineering
Start Page: 1056
End Page: 1068