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

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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… Click to show full 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.

Keywords: output feedback; stable wave; feedback; feedback regulation; anti stable; wave equation

Journal Title: Engineering
Year Published: 2020

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