2016 · 15 citations · 19 references
Natural SciencesAutomotive EngineeringMathematicsAutonomous VehiclesInternal Combustion EnginesOptimizationControl TheoryDynamic ProgrammingOptimal ControlOptimization TheoryVehicle ControlVehicle Control SystemsEco-driving StrategyFuel ConsumptionFuel Consumption ReductionMesh RefinementOptimal Control FormulationOptimal Control ModelsPontryagin's Minimum PrincipleTime-optimal Control
In this paper, two simplified methods based on Dynamic Programming (DP) to solve an Eco-driving problem for a conventional vehicle equipped with an internal combustion engine are studied. The first method is based on the transformation of a time-based Optimal Control Problem (OCP) into a distance-based OCP while the second is based on solving the time-based OCP directly. The Pontryagin Minimum Principle (PMP) is used to decrease the complexity of the OCP formulation. Based on simulations, the two methods are compared in terms of optimality (fuel consumption) and the time needed to run the DP. The impact of the mesh choice on the optimality of the solution is also investigated.
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The Mathematical Theory of Optimal Processes.
E. K. Blum, Pontryagin, Boltyanskii et al. · American Mathematical Monthly · 1963 · 4.3K citations
The Mathematical Theory of Optimal Processes
Richard Bellman, L. S. Pontryagin, V. G. Boltyanskiĭ et al. · Econometrica · 1965 · 4.3K citations