Unstable 1st-order bioreactor: proportional-integral control 2, theory and pole assignment technique

Antonio Sala, UPV

Difficulty: ** ,       Relevance: ,      Duration: 22:04

Summary:

This video presents the theory underlying the closed-loop dynamics of a first-order unstable model $1∕(s-0.4)$, inspired by a bioreactor, with proportional-integral (PI) control, thus justifying the ’trial and error’ heuristics used in video [bioPI1EN] to craft a decent PI tuning.

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.