A system for controlling air quality of a building space includes HVAC equipment configured to serve the building space, sensors configured to measure a plurality of parameters relating to the building space, and a control system. The control system is configured to receive data from the sensors, determine a feedforward air quality contribution, determine a feedback air quality contribution based on a measured air quality and an air quality setpoint for the building space, combine the feedforward air quality contribution and the feedback air quality contribution to determine a target amount of ventilation or filtration to be provided to the building space by the HVAC equipment, and control the HVAC equipment to provide the target amount of ventilation or filtration.