一般化主双対ダイナミクスと制御バリア関数に基づく実時間照明最適化

抄録

In this paper, we address real-time lighting optimization in a building based on so-called generalized primal-dual dynamics with a control barrier function. We first formulate a lighting optimization problem relying on time-varying human behavior as a linear programming by using an ideal mathematical model of the lighting system. The generalized primal-dual dynamics is then introduced as a solution to the linear programming. We then present a novel optimization algorithm which incorporates the control barrier function-based controller into the generalized primal-dual dynamics in order to satisfy the constraint of lower bound illuminance in transient response. In addition, we develop a lighting simulator that duplicates a floor in a real building, allowing to implement real-time lighting controller by combining the software UC-win/Road and MATLAB/Simulink. The effectiveness of the proposed algorithm is demonstrated through simulations on the developed simulator.