Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator

被引：6

作者：

Garcia-Tenorio, Camilo ^{[1
,2
]}

Mojica-Nava, Eduardo ^{[3
]}

Sbarciog, Mihaela ^{[4
]}

Vande Wouwer, Alain ^{[5
]}

机构：

[1] Univ Nacl Colombia, Dept Mech & Mechatron Engn, Bogota, Colombia

[2] Univ Mons, Control Syst Estimat Control & Optimizat SECO Lab, Mons, Belgium

[3] Univ Nacl Colombia, Dept Elect & Elect Engn, Bogota, Colombia

[4] Katholieke Univ Leuven, Chem & Biochem Proc Tecnol & Control, Ghent, Belgium

[5] Univ Mons, Syst Estimat Control & Optimizat SECO Lab, Mons, Belgium

来源：

NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2021年 / 10卷 / 01期

关键词：

Anaerobic Digestion; Extended Dynamic Mode Decomposition; Koopman Operator; Region of Attraction; DYNAMIC-MODE DECOMPOSITION; STABILITY ANALYSIS; SYSTEMS;

D O I：

10.1515/nleng-2021-0009

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states. As a result, the selection of initial conditions and operating parameters to avoid such states is of importance. In this work, we present a data-driven approach, which relies on the generation of several system trajectories of the anaerobic digestion system and the construction of a data-driven Koopman operator to give a concise criterion for the classification of arbitrary initial conditions in the state space. Unlike other approximation methods, the criterion does not rely on difficult geometrical analysis of the identified boundaries to produce the classification.

引用

页码：109 / 131

页数：23