METHOD FOR MODEL-PREDICTIVE CONTROL OF A FUEL-AIR MIXTURE OF A SYSTEM, AND AN ASSOCIATED SYSTEM

A method for controlling a fuel-air mixture of a system with a manipulated variable for controlling an actuator (2) of the system in a first method phase for identification of the system behavior using a standard controller, in order to adjust the actual value on average to a target value. A profile of the actual value and a profile of the manipulated variable are recorded during the first method phase for identification of the system behavior, and from these the gain factor depending on the manipulated variable and the dead time are determined. After the determination of the dead time and the gain factor in a second method phase for model-predictive adaptive control of the system, the manipulated variable is determined using a model-based controller that has a Smith predictor and takes account of the gain factor and the dead time in order to adjust the actual value to the target value. Thus, in the second method phase, the manipulated variable has to be altered less frequently and less significantly by comparison with the first method phase.