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Feng, H. and Guo, B.Z. (2017) Observer Design and Exponential Stabilization for Wave Equation in Energy Space by Boundary Displacement Measurement Only. IEEE Transactions on Automatic Control, 62, 1438-1444.
https://doi.org/10.1109/TAC.2016.2572122

has been cited by the following article:

• TITLE: Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance

  AUTHORS: Zhiyuan Li

  KEYWORDS: Anti-Stable Wave Equation, Distributed Disturbance, Exosystem, Output Feedback Regulation

  JOURNAL NAME: Engineering, Vol.12 No.9, September 22, 2020

  ABSTRACT: This paper has studied the output feedback regulation problem for 1-D anti-stable wave equation with distributed disturbance and a given reference signal generated by a finite-dimensional exosystem. We first design an observer for both exosystem and auxiliary PDE system to recover the state. Then we show the well-posedness of the regulator equations and propose an observer-based feedback control law to regulate the tracking error to zero exponentially and keep all the states bounded.