Linear quadratic Gaussian control with advanced continuous-time disturbance models for building thermal regulation

This paper introduces a linear quadratic control scheme for continuous-time system with observations taken at discrete times. Particular attention is given to the derivation of disturbance terms in model. Control performance may depend critical on accurate forecasts. case building climate control, where solar rays pass through e.g. windows and deliver significant amounts energy dynamics can be very fast, fluctuating, spontaneous. We thus argue that it sufficiently describe include disturbances description obtain satisfactory accuracy. suggest derive details framework based stochastic differential equations (SDEs) Gaussian using an advanced model supply The numerical simulation results embedded forecasts handles uncertainties well provides up 26% improvements compared standard mitigation techniques. Furthermore, we demonstrate controller has useful trade-off between variability signal, economic cost, around reference point.