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.