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 ENG  Vol.12 No.9 , September 2020
Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance
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.
Cite this paper: Li, Z. (2020) Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance. Engineering, 12, 652-665. doi: 10.4236/eng.2020.129046.
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