A control system for an engine of a vehicle includes an adder module that determines a pressure sum based on a sum of a plurality of pressures determined based on (i) a plurality of operating parameters of the vehicle and (ii) a plurality of predetermined values calibrated for determining an estimated pressure at a location within an exhaust system of the vehicle. An estimating module determines the estimated pressure at the location within the exhaust system based on the pressure sum and a reference pressure. An actuator control module selectively adjusts at least one engine actuator based on the estimated pressure.