Article citationsMore>>

Guo, B.Z. and Kang, W. (2014) The Lyapunov Approach to Boundary Stabilization of an Anti-Stable One-Dimensional Wave Equation with Boundary Disturbance. International Journal of Robust and Nonlinear Control, 24, 54-69.
https://doi.org/10.1002/rnc.2874

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.