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Graph based multi-scale analysis of building system transport models

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3 Author(s)
P. G. Mehta ; Dept. of Mech. & Ind. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA ; M. Dorobantu ; A. Banaszuk

This paper offers a framework for multi-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

Published in:

2006 American Control Conference

Date of Conference:

14-16 June 2006