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This chapter introduces a formal problem statement for optimal control of the powersplit in hybrid electric vehicles. A mathematical framework is presented which formalizes the control objective and related constraints. Background information is provided on selecting an appropriate control objective and also the constraints on input and state variables receive extensive attention. It is demonstrated that the presented framework is suitable to describe most popular hybrid vehicle topologies, like the series and parallel configuration. This chapter concludes with a summary describing three problem definitions, ordered by increasing complexity. These problem definitions will be the starting points for the solution methodologies presented in Chaps. 4, 5, and 6.
KeywordsHybrid Electric Vehicle Wheel Speed Drive Cycle Input Constraint Aftertreatment System
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