Numerically Stable Approximations of Optimal Control Processes Associated with a Class of Switched Systems

Autor:	Rosalba Galvan-Guerra, Ruben Velazquez, Vadim Azhmyakov
Rok vydání:	2010
Předmět:	Consistency (database systems) Mathematical optimization Control system Point (geometry) Context (language use) Extension (predicate logic) Optimal control Constructive Mathematics Numerical stability
Zdroj:	WODES ResearcherID Scopus-Elsevier
ISSN:	1474-6670
DOI:	10.3182/20100830-3-de-4013.00009
Popis:	In this contribution, we propose a numerical approach to optimal control processes governed by some specific switched systems. Our principal computational scheme can be characterized as an extension of the conventional proximal point method to optimal control problems (OCPs) with switched dynamical models. We study proximal based constructive approximations of the initial OCPs and establish the numerical stability (numerical consistency) of the resulting algorithm. We also discuss the practical implementability of the elaborated method and point some possible generalizations of our idea in the context of hybrid control systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ce7d2f0114b17cf9103d101a3483a52 https://doi.org/10.3182/20100830-3-de-4013.00009 Zobrazit plný text záznamu