Adaptive sliding mode control of air–fuel ratio in internal combustion engines

A simplified model of an internal combustion engine is used to derive a sliding mode control law. Adaptive update laws are derived for two fueling parameters that describe fuel flow into the cylinders, and a third parameter that describes air flow into the cylinders. The update laws allow the sliding mode control gain, which is usually increased to overcome model uncertainty, to be reduced. This improves the tracking performance of the sliding mode controller in the presence of the feedback time delays. The parameter update laws are modified to bound the parameter values and allow all three parameter update laws to run simultaneously. The effect of the sampling rate on the adaptive sliding mode controller performance and air–fuel ratio biasing via gain selection are also addressed.