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In this paper, we address energy management for heating, ventilation, andair-conditioning (HVAC) systems in buildings, and present a novel combinedoptimization and control approach. We first formulate a thermal dynamics and anassociated optimization problem. An optimization dynamics is then designedbased on a standard primal-dual algorithm, and its strict passivity is proved.We then design a local controller and prove that the physical dynamics with thecontroller is ensured to be passivity-short. Based on these passivity results,we interconnect the optimization and physical dynamics, and prove convergenceof the room temperatures to the optimal ones defined for unmeasurabledisturbances. Finally, we demonstrate the present algorithms throughsimulation.

An Integrated Design of Optimization and Physical Dynamics for Energy Efficient Buildings: A Passivity Approach