%P 5082-5087 %C Milano, Italy %T Hybrid dynamic optimization for cruise speeed control %R 10.3182/20110828-6-IT-1002.01146 %B Proceedings of the 18th IFAC World Congress, 2011 %V 18 %O This work has been performed within the framework of activity 2.4.1 ? Smart drive control of project SE2A - Nanoelectronics for Safe, Fuel Efficient and Environment Friendly Automotive Solutions, ENIAC initiative. %A Tiago Jorge %A Joao M. Lemos %A Miguel Bar?o %A Alberto Bemporad %D 2011 %L eprints741 %X The cruise control problem of transferring the speed of a vehicle between two values in a fixed interval of time using a predefined sequence of gears is solved in this paper. This is a hybrid dynamic optimization problem since the control variables include both a continuous variable (fuel flow) and a discrete variable (the gear to apply at each instant). The solution is given in the form of a hybrid optimal control algorithm that computes the optimal switching times between gears using Dynamic Programming and the optimal fuel profile between successive gear boundaries using a gradient algorithm to approximate the optimum conditions. In order to reduce the search of the optimal switching times to a search in a finite dimension graph, a procedure based on a changing grid is used. The algorithm is illustrated by a simulation using a diesel one-dimensional car model. %K Nonlinear and optimal automotive control; Intelligent driver aids %I IFAC