Open AccessA nonlinear optimal control approach for the pulping process of paper mills
Author(s) -
Rigatos G.,
Abbaszadeh M.,
Cuccurullo G.,
Siano P.
Publication year - 2021
Publication title -
iet collaborative intelligent manufacturing
Language(s) - English
Resource type - Journals
ISSN - 2516-8398
DOI - 10.1049/cim2.12017
Subject(s) - control theory (sociology) , linearization , controller (irrigation) , multivariable calculus , nonlinear system , mathematics , lyapunov function , process (computing) , feedback linearization , jacobian matrix and determinant , taylor series , algebraic riccati equation , riccati equation , computation , computer science , control engineering , control (management) , partial differential equation , engineering , algorithm , mathematical analysis , physics , quantum mechanics , artificial intelligence , operating system , agronomy , biology
The mechanical pulping process is non‐linear and multivariable. To solve the related control problem, the dynamic model of the pulping process undergoes first approximate linearization around a temporary operating point which is updated at each iteration of the control algorithm. The linearization process relies on first‐order Taylor series expansion and on the computation of the Jacobian matrices of the state‐space model of the pulping process. For the approximately linearized description of the pulping process, a stabilizing H‐infinity feedback controller is designed. To compute the controller's feedback gains, an algebraic Riccati equation is solved at each time‐step of the control method. The stability properties of the control scheme are proven through Lyapunov analysis.