Real-time Lighting Optimization via Generalized Primal-dual Dynamics and Control Barrier Function

Abstract

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.