An automatic transmission model for vehicle control

This paper develops a dynamically-correct model of an automatic transmission, extending previous research results. The bond graph method is used in the modeling. The bond graph method is ideally suited for modeling “power” systems, because the method is based on generalized “power” variables. The bond graph method is capable of providing correct dynamic constraints and kinematic constraints, as well as the governing differential equations of motion. The bond graph method is used to develop 1-4 in-gear range models, as well as various upshift and downshift models, with proper dynamic and kinematic constraints