I'm testing the capabilities of radio strength for inhouse, small-object localisation. I'm not here to discuss this (altough any recommandations are always welcome).
For this localisation I'd use about 5 radio nodes each set up in corners of a room. Known are the exact xy coordinates of these nodes and the size of the room.
The robot has to determine only by the signal strength of the nodes where it is, such as illustrated here; Where the dots are the nodes and the robot is inside the sector in which all circle are adjacent to one and other.
The problem is as follows: How do I algebraically determine the xy position of the robot?
In a rectangle this is mathematically not a big problem, but I need a method that will work with an unspecified number of nodes (atleast more than 4) and in different settups.
Any help is greatly appreciated! (and excuse my english; i'm tired and in a bit of hurry)