Stabilisation of an anti-stable joint string with boundary disturbance

In this paper, we consider the boundary stabilisation for a one-dimensional joint anti-stable string equation with input disturbance entering the control end. A backstepping transformation is used to design a suitable boundary controller so that the system is equivalent to a target system which is e...

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Bibliographic Details
Published inInternational journal of control Vol. 93; no. 5; pp. 1027 - 1038
Main Authors Su, Lingling, Wang, Jun-Min
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.05.2020
Taylor & Francis Ltd
Subjects
Active control
ADRC
backstepping
Control systems design
Control theory
Dimensional stability
Joint anti-stable string
Strings
Well posed problems
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Summary:In this paper, we consider the boundary stabilisation for a one-dimensional joint anti-stable string equation with input disturbance entering the control end. A backstepping transformation is used to design a suitable boundary controller so that the system is equivalent to a target system which is exponentially stable when the disturbance is absent. The active disturbance rejection control approach (ADRC) is adopted to estimate and eliminate the external disturbance. The well-posedness and stability of the target system are presented. Some numerical stimulations indicate the effectiveness of the control law.
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content type line 14
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2018.1487084