Looking for ways for a robot to locate itself in the house

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I am hacking a vacuum cleaner robot to control it with a microcontroller (Arduino). I want to make it more efficient when cleaning a room. For now, it just go straight and turn when it hits something.

But I have trouble finding the best algorithm or method to use to know its position in the room. I am looking for an idea that stays cheap (less than $100) and not to complex (one that don't require a PhD thesis in computer vision). I can add some discrete markers in the room if necessary.

Right now, my robot has:

  • One webcam
  • Three proximity sensors (around 1 meter range)
  • Compass (no used for now)
  • Wi-Fi
  • Its speed can vary if the battery is full or nearly empty
  • A netbook Eee PC is embedded on the robot

Do you have any idea for doing this? Does any standard method exist for these kind of problems?

Note: if this question belongs on another website, please move it, I couldn't find a better place than Stack Overflow.

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