Have a look at the brushless camera gimbals quadcopters use these days.

http://www.hobbyking.com/hobbyking/store/__91046__Tarot_T_2D...

Is a typical example. The same gyro/accelerometer/compass 6 or 9 dof sensors from phones that the quadcopter controllers themselves use, but re-purposed into keeping the camera stable. They're really fast.