Dead-Beat Control in the Behavioral Approach

Autor:	Mauro Bisiacco, Maria Elena Valcher
Rok vydání:	2012
Předmět:	Controllability Kernel (linear algebra) Control and Systems Engineering Control theory Dead-beat control Latent variable Electrical and Electronic Engineering Finite set Parametrization Computer Science Applications Variable (mathematics) Mathematics
Zdroj:	IEEE Transactions on Automatic Control. 57:2163-2175
ISSN:	1558-2523 0018-9286
DOI:	10.1109/tac.2011.2181786
Popis:	In this paper, the concepts of controllability and zero-controllability of a variable w , appearing either in a standard or in a latent variable description (as manifest variable), are introduced and characterized. By assuming this perspective, the dead-beat control (DBC) problem is posed as the problem of designing a controller, involving both w and the latent variable c, such that, for the resulting controlled behavior, the variable w goes to zero in a finite number of steps in every trajectory. Zero-controllability of w turns out to be a necessary and sufficient condition for the existence of “admissible” DBCs as well as for the existence of regular DBCs. The class of minimal DBCs, namely DBCs with the least possible number of rows, is singled-out and a parametrization of such controllers is provided. Finally, a necessary and sufficient condition for the existence of DBCs that can be implemented via a feedback law, for which w is the input and the latent variable c the corresponding output, is provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::186dc0e9e3380ab847f2275ab6cc6a01 https://doi.org/10.1109/tac.2011.2181786 Zobrazit plný text záznamu