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Re:PID Without a PhD (2016) [pdf] by wenc on Tuesday January 30, 2018 @11:00AM (#16266289)
> I realized that PID loop only works well for linear systems

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)

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.