%A Nicol? Giorgetti %A Alberto Bemporad %A Ilya Kolmanovsky %A Davor Hrovat %K Combustion; Control design; Cost function; Engine cylinders; Fuels; Logic; Optimal control; Sparks; Timing; Torque control %X This paper illustrates the application of hybrid modeling and receding horizon optimal control techniques to the problem of air-to-fuel ratio and torque management in advanced technology gasoline direct injection stratified charge (DISC) engines. A DISC engine represents an example of a constrained hybrid system, because it can operate in two discrete modes (stratified and homogeneous) and because the mode-dependent constraints on the air-to-fuel ratio and on the spark timing need to be enforced. The paper extends the prior work by the authors [1] and reports the development of an explicit controller which implements the optimal solution using piecewise affine functions of the state, thereby avoiding the need for on-line optimization. Strategies to simplify the explicit controller by reducing the number of regions in its characterization are discussed. %D 2005 %L eprints522 %C 20th-23th June 2005 %B Symposium on Industrial Electronics %R 10.1109/ISIE.2005.1528920 %J Symposium on Industrial Electronics %P 247-252 %T Explicit hybrid optimal control of direct injection stratified charge engines %V 1 %I IEEE