Re:PID Without a PhD (2016) [pdf]
by airbreather on Wednesday January 31, 2018 @02:22PM
(#16276702)
I have found that fuzzy logic control has proven to be useful for non-linear and multi-order systems in the past.
The first time I build a fuzzy logic controller for an industrial plant optimisation I was very surprised at performance vs complexity and how imprecise the characterisations can be and still get very good results.
In practice, PID is applied to nonlinear systems too. The catch is the nonlinear system need to either be:
1) locally linear within the region of interest (very often the case)
2) mildly nonlinear
3) linearizable (by doing a mathematical transformation)