Minmax dynamic optimization over a finite-time horizon for building demand control

In this paper, we present a real-time dynamic minmax optimization technique over finite-time horizon applied to the building "demand response" problem. The technique is suitable for peak minimization and other types of minmax problems that arise in robust control problems. As in MPC, the optimization algorithm is based on the minimization of a cost function whose minimization provides stability to the closed-loop system. This approach is applied to the peak power demand control problem where electricity consumption and peak power usage in a building has to be controlled in response to real-time pricing. We demonstrate application of this method to a supervisory control problem for building HVAC control that involves minimization of fixed horizon electric utility cost.