Title: A Convex Approach to a Class of Non-convex Building HVAC Control Problems: Illustration by Two Case Studies
Authors: Atam, Ercan ×
Helsen, Lieve #
Issue Date: 2015
Publisher: Elsevier Sequoia S.A.
Series Title: Energy and Buildings vol:93 pages:269-281
Abstract: In this paper, a convexification approach is presented for a class of non-convex
optimal/model predictive control problems more specifically applied to building
HVAC control problems. The original non-convex problems are convexified using
a convex envelope approach. The approach is tested on two case studies: a benchmark building HVAC system control problem from the literature and control of a
hybrid ground-coupled heat pump (HybGCHP) system. For the first application,
convexified model predictive control was used and results were compared with
fuzzy and adaptive control results. For the HybGCHP system, convexified optimal
control was applied and the results were compared with dynamic programming
based optimal control. In the first case superior performance was observed over
the corresponding fuzzy and adaptive control results from the literature. For the
HybGCHP system the associated convexified optimal control gave almost global
optimal results in terms of responses and cost criteria. The suggested method is
especially useful for optimal building HVAC control/design problems which include
non-convex bilinear or fractional terms. Since a polynomial expression can
be recursively expressed as a system of bilinear equations, the proposed method,
in principle, can be applied to all systems where polynomial non-convexities exist.
ISSN: 0378-7788
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Applied Mechanics and Energy Conversion Section
× corresponding author
# (joint) last author

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