Systems and methods for a turbocharged gasoline engine utilize a controller configured to receive a set of parameters including a measured pressure delta across an exhaust gas recirculation (EGR) valve disposed in a low pressure EGR (LPEGR) system of the engine and a measured pressure at an outlet of a differential pressure (dP) valve disposed in and distinct from a throttle valve of an induction system of the engine. The controller is further configured to determine a set of modeled pressures based on the set of parameters, a target EGR valve mass flow, a target EGR valve delta pressure, a current dP valve mass flow, and a pressure at an outlet of the air filter, determine target positions for the EGR valve and the dP valve based on the set of modeled pressures, and control the EGR valve and the dP valve based on their respective target positions.