ABSTRACT

A mathematical model for dynamic behaviors of the on-coming and off-going clutches during torque phase in shift is proposed. Then, an objective functional counting for friction works of both clutches, shock intensity of the vehicle and engine acceleration is constructed. Further, an optimal control strategy is established by seeking minimum value of the objective functional. Proper application of optimal control theory should be implemented to develop dual clutch control technologies. The proposed optimal control problem is solved on the basis of the extremum value theorem, and analytical solutions of optimal engine and dual clutch friction torques are derived for ease of engineering applications. An optimal control strategy, featured with proposition of objective functional including formulations of friction work, shock intensity and engine maneuver, has been established and investigated numerically in depth.