Hybrid Dynamic Optimization for Cruise Speed Control

• Autor(a) principal: Jorge, Tiago R.
• Data de Publicação: 2011
• Outros Autores: Lemos, João M., Barão, Miguel, Bemporad, Alberto
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10174/4703; https://doi.org/10.3182/20110828-6-IT-1002.01146
• topic: Control; Hybrid Systems; Optimization; Automotive Control

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.