PREDICTIVE ALGORITHM FOR HOUSE TEMPERATURE CONTROL WITH COMBINED HEATING SYSTEM
Hose temperature control with combined heating system requires MIMO optimization algorithm. Using classical optimization methods becomes very complex due to boundaries conditions. Model Predictive Control (MPC) algorithm is suboptimal but through solving optimization control problem on each time-step over receding prediction horizon it allows to minimize deviation from unpredicted disturbance. This article describes practical solution of model predictive temperature control problem for houses with combined heating system in this article. Considered heating system includes radiators and air sources with on-off control of air fan. Obtained in earlier work discrete-time thermodynamic model and certain boundaries are modified for control algorithm. Model predictive control algorithm based on linear programming is presented. The algorithm computes suboptimal control strategy which minimizes costs of consuming energy over receding prediction horizon with set temperature diagram. Different energy tariffs depending on times of day are taken into account during computation. Linear representation of thermodynamic model and fitness function allows using linear programming methods for computation of predictive control strategy that gives flexible possibilities for practical realization.