Sometimes, the relationships involved are not straightforward. That is where fractals, fuzzy logic and chaos come into play. According to the researchers, there is some order in chaos. Chaotic systems are not random, but do have some predictability, which is why this type of analysis works. An example of a chaotic system is chatter in a lathe.
Chatter is rapid vibration that causes ridges or nicks.
In this situation, chaotic equations can describe the process. After diagnosis, any number of fixes or adjustments can be made to correct the process before product defects or machinery breakdown occurs. This control phase will optimally be computerized and automatic in real time. Sensing, diagnosis and control adjustments would continually keep machinery in perfect tune and products at highest quality. However, while we have good sensors for some things, we do not yet have good sensors for every characteristic we would like to monitor.