Article citationsMore>>

Zhou, H.C. and Weiss, G. (2019) Output Tracking and Disturbance Rejection for a One-Dimensional Anti-Stable Wave Equation, CDC 2017 Melbourne, Australia.
https://doi.org/10.1109/CDC.2017.8263739

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.