Title :
Nonlinear processes and control of chaos in chemical technology
Author :
Koltsova, Eleonora M. ; Cherenkov, Mikhail V. ; Korchagin, Evgeniy Yu
Author_Institution :
Dept. of Cybern. of Chem. Technol., Mendeleev Univ. of Chem. Technol. of Russia, Moscow, Russia
Abstract :
Two methods of controlling chaotic oscillations are considered: with feedback and without feedback (destochastization). The process of continuous mass crystallization of dibasic lead phosphite (at the expense of chemical reaction) is considered. The mathematical model of such a process forecasts as periodic so and chaotic oscillations. The feedback algorithm of Ott-Grebogi-Yorke (OGY) was modified for stabilization of period-2 cycle. It was shown that the main equations of the mathematical model could be resulted in the logistic type equations. The correlation was found between the bifurcation parameter of the mathematical model (flow rate) and the bifurcation parameter of the logistic equation. The periodic perturbation was built for the bifurcation parameter (flow rate), which regulate the chaotic oscillations to the period-6 cycle (destochastization algorithm).
Keywords :
bifurcation; chaos; chemical reactions; chemical technology; crystallisation; feedback; nonlinear control systems; process control; stability; OGY algorithm; Ott-Grebogi-Yorke algorithm; bifurcation parameter; chaos; chaotic oscillations; chemical reaction; chemical technology; destochastization algorithm; dibasic lead phosphite crystallization; feedback; logistic equation; mass crystallization; mathematical model; nonlinear control; nonlinear crystallization process; nonlinear dynamical systems; period-2 cycle stabilization; period-6 cycle; periodic perturbation; Bifurcation; Chaos; Chemical processes; Chemical technology; Crystallization; Equations; Feedback; Logistics; Mathematical model; Process control;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236869