Output feedback stabilisation of parallel coupled string equations with matched boundary disturbance

In this paper, we are concerned with boundary output feedback stabilisation of two parallel coupled string equations with matched external disturbance. By the method proposed by Feng and Guo in IEEE Transactions on Automatic Control [62(2017), pp. 3774-3787], we design a disturbance estimator first...

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Published inInternational journal of control Vol. 93; no. 12; pp. 2922 - 2930
Main Authors Ma, Tianfu, Jin, Feng-Fei
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.12.2020
Taylor & Francis Ltd
Subjects
Automatic control
boundary control
Control systems design
Control theory
disturbance estimator
Feedback control
Feedback loops
Liapunov functions
Mathematical analysis
Output feedback
Parallel coupled string equations
String matching
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ISSN0020-7179
1366-5820
DOI10.1080/00207179.2019.1568581

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Abstract In this paper, we are concerned with boundary output feedback stabilisation of two parallel coupled string equations with matched external disturbance. By the method proposed by Feng and Guo in IEEE Transactions on Automatic Control [62(2017), pp. 3774-3787], we design a disturbance estimator first which is used to cancel the effect of disturbance in the feedback loop. The other part of output feedback controller is designed to make system stable. Then operator semigroup and Lyapunov function methods are adopted to prove that the closed-loop system admits a unique solution in state space, the solution of original system is asymptotically stable and one of the disturbance estimator system is bounded. Finally, numerical simulations are presented to validate the theoretical results.
AbstractList In this paper, we are concerned with boundary output feedback stabilisation of two parallel coupled string equations with matched external disturbance. By the method proposed by Feng and Guo in IEEE Transactions on Automatic Control [62(2017), pp. 3774-3787], we design a disturbance estimator first which is used to cancel the effect of disturbance in the feedback loop. The other part of output feedback controller is designed to make system stable. Then operator semigroup and Lyapunov function methods are adopted to prove that the closed-loop system admits a unique solution in state space, the solution of original system is asymptotically stable and one of the disturbance estimator system is bounded. Finally, numerical simulations are presented to validate the theoretical results.
Author Jin, Feng-Fei
Ma, Tianfu
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  organization: School of Mathematics and Statistics, Shandong Normal University
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Snippet In this paper, we are concerned with boundary output feedback stabilisation of two parallel coupled string equations with matched external disturbance. By the...
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SubjectTerms Automatic control
boundary control
Control systems design
Control theory
disturbance estimator
Feedback control
Feedback loops
Liapunov functions
Mathematical analysis
Output feedback
Parallel coupled string equations
String matching
Title Output feedback stabilisation of parallel coupled string equations with matched boundary disturbance
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