Take the above advice, sprinkle in some deft cuts with the outside of your foot to turn him inside out, and that, my friend, is a winning strategy.
You might also try to get him to OVER RUN. Think about it. If he knows he's faster, that's going to be something he always wants to put in your face, and sometimes, he might give too much. When you sense he is getting to this point, tap the ball out to the outside, and make as if you are going to race with him down the touchline. Then, after a few strides or more, flick the ball behind the leg closest to him with your other leg, and past both of you into some open field. If you've sold it right, he will still be going down the touch, anticipating you, and you have the split second of confusion you need to do something good.