Graph based multi-scale analysis of building system transport models

Prashant G. Mehta, Mihai Dorobantu, Andrzej Banaszuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper offers a framework for mutli-scale analysis, modeling, and control design for energy efficient building systems models. Our unique approach is to conceptualize the building systems problems as dynamics (convection-diffusion equations) on a building graph. While the original graph - that resolves the smallest of the scales - is complex, we use the coarse spatio-temporal scales associated with any particular control objective to drive towards an effective (low-dimensional) representation of dynamics on the graph. The key idea here is to use the Perron-Frobenius (P-F) operator for averaging the fast time scales that would decay on account of diffusion in the problem. The framework is presented with aid of a one-room and two-room model problems.

Original languageEnglish (US)
Title of host publicationProceedings of the 2006 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424402107, 9781424402106
StatePublished - 2006
Event2006 American Control Conference - Minneapolis, MN, United States
Duration: Jun 14 2006Jun 16 2006

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2006 American Control Conference
Country/TerritoryUnited States
CityMinneapolis, MN

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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