%X This paper builds up a typical model of a parallel hybrid electric vehicle and develops model predictive controllers for this model to control the speeds and torques for fast clutch engagement with high driving comfort and low jerk. Some modified algorithms for model predictive controllers are studied to improve their ability to track the desired speed setpoints, subject to input and output constraints. © 2012 The Korean Society of Automotive Engineers and Springer-Verlag Berlin Heidelberg. %K Driving comfort; Input and output constraints; Model predictive controllers; Modified algorithms; Parallel hybrid electric vehicles; Setpoints; Speed-tracking; Typical model; Vehicle modeling, Electric vehicles; Hybrid vehicles; Model predictive control; Secondary batteries, Predictive control systems %N 3 %R 10.1007/s12239-012-0045-0 %D 2012 %J International Journal of Automotive Technology %L scholars3039 %O cited By 37 %A V.T. Minh %A A.A. Rashid %V 13 %T Modeling and model predictive control for hybrid electric vehicles %P 477-485