Arduino To Control Automotive Lighting

First time poster and I'm hoping I can get some help here. My friend suggested this microcontroller to me and now I'm trying to see if it will do what I want.
First I'll explain the lighting set up I have in my car.
I've got High Intensity Discharge lights from an E55 Mercedes retrofitted into my car. The bulbs, the ballast and projectors. They have a high beam, Bi Xenon. This works by a small motor/solinoid that lowers a shield to let more light out when the high beam it on.
Now the first thing I want to do with the Arduino is like a strobe effect. Basically rapid actuation of the solinoid/shutter. I know the solinoid works at 15-17hz and I would need about a 30-40% duty cycle.
I have some other things I want to do in relation to that but first let's answer that question.

The thing I want to do is boost the power of my ballasts (when using the strobe effect). Can the Arduino do this too? I've already got an adjustable pynometer to do this manually.

Thanks for the help.