Dynamic compensation and homeostasis: a feedback control perspective

Michel Fliess (1, 2) , Cédric Join (2, 3, 4)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 AL.I.E.N. - ALgèbre pour Identification & Estimation Numériques
3 CRAN - Centre de Recherche en Automatique de Nancy
4 NON-A-POST - Non-Asymptotic estimation for online systems

"Dynamic compensation" is a robustness property where a perturbed biological circuit maintains a suitable output [Karin O., Swisa A., Glaser B., Dor Y., Alon U. (2016). Mol. Syst. Biol., 12: 886]. In spite of several attempts, no fully convincing analysis seems now to be on hand. This communication suggests an explanation via "model-free control" and the corresponding "intelligent" controllers [Fliess M., Join C. (2013). Int. J. Contr., 86, 2228-2252], which are already successfully applied in many concrete situations. As a byproduct this setting provides also a slightly different presentation of homeostasis, or "exact adaptation," where the working conditions are assumed to be "mild." Several convincing, but academic, computer simulations are provided and discussed.

Keywords: intelligent proportional controller; model-free control; PID; integral feedback control; systems biology; dynamic compensation; homeostasis; exact adaptation; integral controller; integral feedback

Domains: Quantitative Methods [q-bio.QM]; Systems and Control [cs.SY]; Automatic Control Engineering; Optimization and Control [math.OC]

Michel Fliess, Cédric Join. Dynamic compensation and homeostasis: a feedback control perspective. [Research Report] Ecole polytechnique X. 2018, pp.1-22. ⟨hal-01684422v2⟩