I admit to some unease at "on bends". An autonomous vehicle attempting to follow a dead straight line will still execute a series of micromovements in response to tiny error corrections due to e.g. road camber, wind, etc.. The "trajectory" is necessarily a series of continuous curves. In the real world, such a vehicle is confronted with numerous obstacles, not just bends in the road, and the steering control is always very busy. Just look at your own steering wheel next time you go for a spin and see how it is constantly in motion. Take a look at
http://www.dcsc.tudelft.nl/~tkeviczky/files/KevFalBorAsgHro_... for a useful discussion of some of the aspects of driverless vehicles.