A major problem facing battery-powered electric vehicles is in their batter
ies: weight and charge capacity. Thus, a battery-powered electric vehicle o
nly has a short driving range. To travel for a longer distance, the batteri
es are required to be recharged frequently. In this paper, we construct a m
odel for a battery-powered electric vehicle, in which driving strategy is t
o be obtained such that the total travelling time between two locations is
minimized. The problem is formulated as an optimization problem with switch
ing times and speed as decision variables. This is an unconventional optimi
zation problem. However, by using the control parametrization enhancing tec
hnique (CPET), it is shown that this unconventional optimization is equival
ent to a conventional optimal parameter selection problem. Numerical exampl
es are solved using the proposed method.