relation: http://eprints.imtlucca.it/741/ title: Hybrid dynamic optimization for cruise speeed control creator: Jorge, Tiago creator: Lemos, Joao M. creator: Barão, Miguel creator: Bemporad, Alberto subject: TJ Mechanical engineering and machinery subject: TL Motor vehicles. Aeronautics. Astronautics description: 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. publisher: IFAC date: 2011 type: Book Section type: PeerReviewed identifier: Jorge, Tiago and Lemos, Joao M. and Barão, Miguel and Bemporad, Alberto Hybrid dynamic optimization for cruise speeed control. In: Proceedings of the 18th IFAC World Congress, 2011. IFAC, pp. 5082-5087. ISBN 978-3-902661-93-7 (2011) relation: http://www.ifac-papersonline.net/Detailed/49149.html relation: 10.3182/20110828-6-IT-1002.01146