Polyhedral Control Design: Theory and Methods

Autor:	Houska, Boris, Müller, Matthias A., Villanueva, Mario E.
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control Electrical Engineering and Systems Science - Systems and Control
Druh dokumentu:	Working Paper
Popis:	In this article, we survey the primary research on polyhedral computing methods for constrained linear control systems. Our focus is on the modeling power of convex optimization, featured to design set-based robust and optimal controllers. In detail, we review the state-of-the-art techniques for computing geometric structures such as robust control invariant polytopes. Moreover, we survey recent methods for constructing control Lyapunov functions with polyhedral epigraphs as well as the extensive literature on robust model predictive control. The article concludes with a discussion of both the complexity and potential of polyhedral computing methods that rely on large-scale convex optimization. Comment: 26 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.13082 Zobrazit plný text záznamu View this record from Arxiv