A system according to the present disclosure includes a model predictive control (MPC) module, an actuator module, and a remedial action module. The MPC module performs MPC tasks that include predicting operating parameters for a set of possible target values and determining a cost for the set of possible target values based on the predicted operating parameters. The MPC tasks also include selecting the set of possible target values from multiple sets of possible target values based on the cost and setting target values to the possible target values of the selected set. The actuator module controls an actuator of an engine based on at least one of the target values. The remedial action module selectively takes a remedial action based on at least one of an amount of time that elapses as the MPC tasks are performed and a number of iterations of the MPC tasks that are performed.