Article citationsMore>>

Gu, J.J., Wei, C.Q. and Wang, J.M. (2019) Backstepping-Based Output Regulation of Ordinary Differential Equations Cascaded by Wave Equation with In-Domain Anti-Damping. Transactions of the Institute of Measurement and Control, 41, 246-262.
https://doi.org/10.1177/0142331217752040

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.