This video presents the theory underlying the closed-loop dynamics of a first-order unstable
model ,
inspired by a bioreactor, with proportional-integral (PI) control, thus
justifying the ’trial and error’ heuristics used in video [
The following questions are discussed:
Obtaining the closed loop error equations (outline)
Stability conditions
Checking that the steady state error is zero (if the loop is stable)
Performance analysis (settling time) of a given regulator
Design of a regulator for a given settling time requirement
*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.