Output Feedback Stabilization of Semilinear Parabolic PDEs using Backstepping
Analysis of PDEs
2016-12-13 v1
Abstract
In this paper, we present output feedback boundary stabilization for a class of semilinear parabolic PDEs with a boundary measurement and an actuation located at the same place. The method uses backstepping transformations, where the state and error systems are proved to be locally exponentially stable in the norm. The stability of the transformed systems are obtained by constructing a strict Lyapunov function. A numerical example using the FitzHugh-Nagumo equation shows the proposed control law stabilizes the system into its equilibrium solution.
Keywords
Cite
@article{arxiv.1612.03867,
title = {Output Feedback Stabilization of Semilinear Parabolic PDEs using Backstepping},
author = {Agus Hasan},
journal= {arXiv preprint arXiv:1612.03867},
year = {2016}
}