Abstract
The optimal control of multizone fan-coil cooling systems with chilled-water storage is studied. The example system consists of two environmental zones, a fan-coil unit for each zone, a chiller and storage tank, pumps and distribution network. The bilinear model of the system is linearized through the use of state feedback. The method of state-increment dynamic programming, augmented with a label-tracing procedure, is used to identify the periodic but unknown initial/terminal state as well as the associated closed trajectory and control inputs that are optimal for any given periodic 24-h zone cooling load profiles. Practical consideration for the implementation of these methods in a feedback controller for a multizone cooling system are briefly discussed.
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