Dynamic control of an Euler-Bernoulli equation with time-delay and disturbance in the boundary control

The boundary control problem of a cantilever Euler- Bernoulli is considered in this paper. If the control at the right end of the beam is of the form w xxx (1, t) = u(t − τ) + r(t), where τ > 0 is the input time-delay and r(t) is an unknown external disturbance, a dynamic feedback control strateg...

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Bibliographic Details
Published inInternational journal of control Vol. 92; no. 1; pp. 27 - 41
Main Authors Shang, YingFeng, Xu, Genqi
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Subjects
Active control
ADRC
Boundary control
Delay
disturbance
Dynamic control
dynamic feedback control
Euler-Bernoulli equation
Feedback control
Time-delay
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Summary:The boundary control problem of a cantilever Euler- Bernoulli is considered in this paper. If the control at the right end of the beam is of the form w xxx (1, t) = u(t − τ) + r(t), where τ > 0 is the input time-delay and r(t) is an unknown external disturbance, a dynamic feedback control strategy based on the methods of partial state predictor and active disturbance rejection control is used to stabilise the system. Under some assumptions on r(t), it is proven that the state of the system exponentially converges to and stays in the compact set . The radius ϵ is determined by the time-delay τ and the properties of r(t). The simulations are provided to compare the influence of τ and r(t) on the radius ϵ.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2017.1334264