Variable structure control for parabolic evolution equations
Optimization and Control
2016-11-17 v1
Abstract
In this paper it is considered a class of infinite-dimensional control systems in a variational setting. By using a Faedo-Galerkin method, a sequence of approximating finite dimensional controlled differential equations is defined. On each of these systems a variable structure control is applied to constrain the motion on a specified surface. Under some growth assumptions the convergence of these approximations to an ideal sliding state for the infinite-dimensional system is shown. Results are then applied to the Neumann boundary control of a parabolic evolution equation.
Cite
@article{arxiv.math/0506060,
title = {Variable structure control for parabolic evolution equations},
author = {Laura Levaggi},
journal= {arXiv preprint arXiv:math/0506060},
year = {2016}
}
Comments
Submitted for presentation to the Joint 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005; 13 pages