Elimination of Redundant Polynomial Constraints and Its Use in Constrained Control
Abstract
The reduction of constraints to obtain minimal representations of sets is a very common problem in many engineering applications. While well-established methodologies exist for the case of linear constraints, the problem of how to detect redundant non-linear constraints is an open problem. In this paper we present a novel methodology based on Sum of Squares for the elimination of redundant polynomial constraints. The paper also presents some relevant applications of the presented method to constrained control problems. In particular, we show how the proposed method can be used in the Model Predictive Control and in the Reference Governor frameworks to reduce the computational burden of the online algorithms. Furthermore, this method can also be used to eliminate the terminal constraints in MPC in a simple way that is independent from the cost function.
Keywords
Cite
@article{arxiv.2006.14957,
title = {Elimination of Redundant Polynomial Constraints and Its Use in Constrained Control},
author = {Andres Cotorruelo and Ilya Kolmanovsky and Daniel R. Ramírez and Daniel Limon and Emanuele Garone},
journal= {arXiv preprint arXiv:2006.14957},
year = {2020}
}