Boundary Control of the Wave Equation via Linear Quadatic Regulation
Optimization and Control
2021-02-16 v2
Abstract
We consider the Linear Quadratic Regulation for the boundary control of the one dimensional linear wave equation under both Dirichlet and Neumann activation. For each activation we present a Riccati partial differential equation that we explicitly solve. The derivation the Riccati partial differential equations is by the simple and explicit technique of completing the square.
Keywords
Cite
@article{arxiv.2101.09610,
title = {Boundary Control of the Wave Equation via Linear Quadatic Regulation},
author = {Arthur J. Krener},
journal= {arXiv preprint arXiv:2101.09610},
year = {2021}
}