Output feedback stabilisation for a cascaded wave PDE-ODE system subject to boundary control matched disturbance

In this paper, we consider output feedback stabilisation for a wave PDE-ODE system with Dirichlet boundary interconnection and external disturbance flowing the control end. We first design a variable structure unknown input type state observer which is shown to be exponentially convergent. Then, we...

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Bibliographic Details
Published inInternational journal of control Vol. 89; no. 12; pp. 2396 - 2405
Main Authors Zhou, Hua-Cheng, Guo, Bao-Zhu, Wu, Ze-Hao
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.12.2016
Taylor & Francis Ltd
Subjects
active disturbance rejection control
backstepping
Boundaries
Control systems
Damping
Design engineering
Dirichlet problem
disturbance
Disturbances
Feedback control systems
Output feedback
stabilisation
State observers
Variable structure
wave PDE-ODE system
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Summary:In this paper, we consider output feedback stabilisation for a wave PDE-ODE system with Dirichlet boundary interconnection and external disturbance flowing the control end. We first design a variable structure unknown input type state observer which is shown to be exponentially convergent. Then, we estimate the disturbance in terms of the estimated state, an idea from active disturbance rejection control. These enable us to design an observer-based output feedback stabilising control to this uncertain PDE-ODE system.
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ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2016.1158866