Abstract
The key goal in energy efficient buildings is to
reduce energy consumption of Heating, Ventilation, and Air-
Conditioning (HVAC) systems while maintaining a comfortable
temperature and humidity in the building. This paper proposes a
novel stochastic control approach for achieving joint performance
and power control of HVAC. We employ a constrained Stochastic
Linear Quadratic Control (cSLQC) by minimizing a quadratic
cost function with a disturbance assumed to be Gaussian. The
problem is formulated to minimize the expected cost subject
to a linear constraint and a probabilistic constraint. By using
cSLQC, the problem is reduced to a semidefinite optimization
problem, where the optimal control can be computed efficiently
by Semidefinite programming (SDP). Simulation results are
provided to demonstrate the effectiveness and power efficiency
by utilizing the proposed control approach.
