Exponential stabilisation of Euler-Bernoulli beam with uncertain disturbance

The stabilisation problem of an Euler-Bernoulli beam with uncertain disturbance is investigated in this paper. Employing the idea of the sliding mode control technique, a distributed feedback controller is designed to stabilise the beam with uncertain disturbance. Moreover, the solvability of the co...

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Bibliographic Details
Published inInternational journal of control Vol. 94; no. 6; pp. 1622 - 1629
Main Authors Wei, Qian, Wang, Lei
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.06.2021
Taylor & Francis Ltd
Subjects
Closed loop systems
Control methods
Control systems design
Euler-Bernoulli beam
Euler-Bernoulli beams
Feedback control
Liapunov functions
Lyapunov function
Sliding mode control
Stabilisation
uncertain disturbance
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Summary:The stabilisation problem of an Euler-Bernoulli beam with uncertain disturbance is investigated in this paper. Employing the idea of the sliding mode control technique, a distributed feedback controller is designed to stabilise the beam with uncertain disturbance. Moreover, the solvability of the corresponding nonlinear closed-loop system is proved based on the theory of nonlinear maximal monotone operators. Furthermore, we construct a Lyapunov function to show the exponential stability of the closed-loop system. Finally, numerical simulations are conducted to illustrate the effectiveness of the proposed control method.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2019.1662094