%0 Book Section
%A Giorgetti, Nicolò
%A Bemporad, Alberto
%A Kolmanovsky, Ilya
%A Hrovat, Davor
%B Symposium on Industrial Electronics
%C 20th-23th June 2005 
%D 2005
%F eprints:522
%I IEEE
%K Combustion; Control design; Cost function; Engine cylinders; Fuels; Logic; Optimal control; Sparks; Timing; Torque control 
%P 247-252
%T Explicit hybrid optimal control of direct injection stratified charge engines
%U http://eprints.imtlucca.it/522/
%V 1
%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.