A Convex Approach to Output Feedback Control of Parabolic PDEs Using Sum-of-Squares
Systems and Control
2014-08-25 v1
Abstract
In this paper we use optimization-based methods to design output-feedback controllers for a class of one-dimensional parabolic partial differential equations. The output may be distributed or point-measurements. The input may be distributed or boundary actuation. We use Lyapunov operators, duality, and the Luenberger observer framework to reformulate the synthesis problem as a convex optimization problem expressed as a set of Linear-Operator-Inequalities (LOIs). We then show how feasibility of these LOIs may be tested using Semidefinite Programming (SDP) and the Sum-of-Squares methodology.
Keywords
Cite
@article{arxiv.1408.5206,
title = {A Convex Approach to Output Feedback Control of Parabolic PDEs Using Sum-of-Squares},
author = {Aditya Gahlawat and Matthew. M. Peet},
journal= {arXiv preprint arXiv:1408.5206},
year = {2014}
}