Output Feedback Stabilization for One-Dimensional Wave Equation Subject to Boundary Disturbance

We consider boundary output feedback stabilization for a one-dimensional anti-stable wave equation subject to general control matched disturbance. The active disturbance rejection control (ADRC) approach is adopted in investigation. Using the output of the system, we first design a variable structur...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 60; no. 3; pp. 824 - 830
Main Authors Guo, Bao-Zhu, Jin, Feng-Fei
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2015
Subjects
Boundary conditions
Educational institutions
Equations
Observers
Output feedback
Propagation
output feedback
Disturbance rejection
wave equation
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Summary:We consider boundary output feedback stabilization for a one-dimensional anti-stable wave equation subject to general control matched disturbance. The active disturbance rejection control (ADRC) approach is adopted in investigation. Using the output of the system, we first design a variable structure unknown input type state observer which is shown to be exponentially convergent. The disturbance is estimated, in real time, through an extended state observer for an ODE reduced from the PDE observer. The disturbance is then canceled in the feedback loop by its approximated value. The stability of the resulting closed-loop system is proven. Simulation results are presented to validate the theoretical conclusions and to exhibit the peaking value reduction by time varying gain instead of constant high gain.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2335374