Special Session 112: Controllability and Stabilization of Partial Differential Equations

Output regulation for a 1-D wave equation with velocity recirculation and disturbances

Hua-Cheng Zhou
Central South University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we consider the output regulation problem for a 1-D wave equation with velocity recirculation where the disturbances in all possible channels of the wave equation and the reference signal are generated from an unknown finite-dimensional exosystem. An adaptive error-based observer is proposed to effectively estimate all unknown frequencies, and based on this, a tracking-error-based feedback control is designed to regulate the output to the reference signal exponentially. This talk is based on a joint work with Fanggang Hu.