Connections in control strategy

Rahula, Maido; Vašík, Petr

Connections in control strategy

Files

Proc201412632.pdf(224.74 KB)

Date

2014-03-14

Authors

Rahula, Maido

Vašík, Petr

Publisher

Estonian Academy of Sciences

Altmetrics

Abstract

We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.
Uvádíme infinitesimální interpretaci teorie řízení, přesněji oblasti dynamických systémů. Proces řízení chápeme pomocí původního konceptu konexe jakožto paralelního transportu podél cesty na podkladové varietě, kde výběr cesty znamená výběr řídící strategie.

Keywords

control theory, connection, teorie řízení, konexe

Citation

Proceedings of the Estonian Academy of Sciences. 2014, vol. 63, issue 1, p. 26-32.
https://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter[year]=2014&filter[issue]=231&filter[publication]=1737

Document type

Peer-reviewed

Document version

Published version

Language of document

en

Document licence

Creative Commons Attribution-NonCommercial 4.0 International
http://creativecommons.org/licenses/by-nc/4.0/