Delay calibration systems and methods

A calibration system for a vehicle, comprising:

• a steady-state (SS) delay module that determines a SS delay period for SS operating conditions from a first mapping of SS delay period indexed by air per cylinder (APC);
• a dynamic compensation module that determines a predicted delay period based on first and second dynamic compensation variables for dynamic operating conditions, wherein the SS and predicted delay periods correspond to a period between a first time when fuel is provided for a cylinder of an engine and a second time when exhaust gas resulting from combustion of a mixture of the fuel and air reaches an exhaust gas oxygen (EGO) sensor that is located upstream of a catalyst;
• a theoretical delay module that outputs a theoretical delay period based on a calibration APC and that determines the theoretical delay period from a second mapping of theoretical delay period indexed by APC;
• a calibration module that generates the calibration APC, that populates the first mapping based on the theoretical delay and the calibration APC, and that determines the first and second dynamic compensation variables based on comparisons of the theoretical delay and SS delay period;
• and
• a final equivalence ratio (EQR) module that adjusts an amount of fuel provided to the cylinder after the second time based on the predicted delay period.