Using Matlab for Algorithm Development: a Coordinate Mapping for a Rapid Prototyping System

One of the fundamental components of a rapid prototyping system is a high precision linear induction motor x-y table with laser interferometer position feedback (position absolute accuracy is better than 0.5 μm from the commanded position over the entire range of travel)[1]. This table is used to position VLSI circuits under a computer controlled laser system; such that restructuring, and hence rapid prototyping, can be achieved. Restructuring takes place by using the pulsed laser beam to create conductive links and cut conductors, thus interconnecting electronic circuitry as required by the designer[2]. During the laser operation, it is critical that the x-y coordinate system of the chip (the circuitry) coincides with the table's coordinate system. This implies that there should be no rotation of the chip coordinate system with respect to the table's; because if there is no rotation between the chip and the table, their coordinate systems can agree by setting the table's origin at the chip's origin. Although a manual rotation compensation stage is in place; achieving the required alignment manually is nearly impossible, and the time required grows exponentially as the angle between the coordinate systems becomes smaller. The tolerated rotation angle of the chip with respect to the table is well below ABSTRACT