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PI regulation for a class of bioreactors: stability and performance
Author(s) -
AlvarezRamirez Jose,
Alvarez Jesus
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2926
Subject(s) - control theory (sociology) , inverse , pi , pid controller , stability (learning theory) , estimator , inverse dynamics , singular perturbation , perturbation (astronomy) , feedback control , controller (irrigation) , computer science , mathematics , control (management) , control engineering , engineering , physics , mathematical analysis , temperature control , agronomy , biology , statistics , geometry , artificial intelligence , machine learning , kinematics , classical mechanics , quantum mechanics
SUMMARY Stability and performance features of linear PI compensation for continuous bioreactors are studied in this paper. First, it is established that conventional PI control can be represented as the combination of an I/O inverse dynamics feedback with a modeling error dynamic estimator. Then, the analysis of the closed‐loop dynamics carried out with singular perturbation tools shows that PI control can recover the stability and performance induced by exact I/O inverse dynamics feedback controller. The theoretical results are illustrated via a typical numerical example. Copyright © 2012 John Wiley & Sons, Ltd.