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Towards a thermodynamics of control: Entropy, energy and Kalman filtering
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
2013 (English)In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 3109-3114 p.Conference paper (Refereed)
Abstract [en]

We propose a method to analyse the flows of information and energy between two systems (plant and controller) connected in feedback. Extending a work by Touchette and Lloyd (2000, 2004), we estimate the advantage, both in terms of entropy reduction and energy extraction, of a feedback controller over an open-loop control in terms of the information on the plant state that is available to the controller. By energy here we mean any objective function that we seek to minimize, for example the square of the state. We apply this methodology on the Kalman filter, and develop a physical interpretation comparable to Mitter and Newton's (2005).

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 3109-3114 p.
, IEEE Conference on Decision and Control. Proceedings, ISSN 0743-1546
Keyword [en]
Entropy, Kalman filters, Thermodynamics, Energy extraction, Entropy reduction, Feedback controller, Kalman-filtering, Objective functions, Open loop control, Physical interpretation, Controllers
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-150867DOI: 10.1109/CDC.2013.6760356ISI: 000352223503088ScopusID: 2-s2.0-84902358223ISBN: 978-146735717-3OAI: diva2:745845
52nd IEEE Conference on Decision and Control, CDC 2013, 10 December 2013 through 13 December 2013, Florence, Italy

QC 20140911

Available from: 2014-09-11 Created: 2014-09-11 Last updated: 2015-12-08Bibliographically approved

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Sandberg, Henrik
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