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

doi:10.1016/j.ymssp.2017.05.048

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

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University
University of Liverpool

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Pages (from-to)	1056-1068
Number of pages	13
Journal	Mechanical Systems and Signal Processing
Volume	98
DOIs	https://doi.org/10.1016/j.ymssp.2017.05.048
State	Published - 1 Jan 2018

Keywords

Feedback linearisation
Nonlinear vibration
Receptance method
Zero dynamics

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10.1016/j.ymssp.2017.05.048

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title = "Feedback linearisation of nonlinear vibration problems: A new formulation by the method of receptances",

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 = "Feedback linearisation, Nonlinear vibration, Receptance method, Zero dynamics",

author = "Chong Zhen and Shakir Jiffri and Daochun Li and Jinwu Xiang and Mottershead, \{John E.\}",

note = "Publisher Copyright: {\textcopyright} 2017 The Author(s)",

year = "2018",

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doi = "10.1016/j.ymssp.2017.05.048",

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T1 - Feedback linearisation of nonlinear vibration problems

T2 - A new formulation by the method of receptances

AU - Zhen, Chong

AU - Jiffri, Shakir

AU - Li, Daochun

AU - Xiang, Jinwu

AU - Mottershead, John E.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Feedback linearisation

KW - Nonlinear vibration

KW - Receptance method

KW - Zero dynamics

UR - https://www.scopus.com/pages/publications/85034114837

U2 - 10.1016/j.ymssp.2017.05.048

DO - 10.1016/j.ymssp.2017.05.048

M3 - 文章

AN - SCOPUS:85034114837

SN - 0888-3270

VL - 98

SP - 1056

EP - 1068

JO - Mechanical Systems and Signal Processing

JF - Mechanical Systems and Signal Processing

ER -

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

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Keywords

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