Title :
Trajectory tracking in a nonlinear CSTR. Controller design based on a linear algebra approach
Author :
Suvire, Romina ; Scaglia, Gustavo Juan Eduardo ; Serrano, Mario Emanuel ; Vega, Jorge Ruben ; Ortiz, Oscar Alberto
Author_Institution :
Inst. de Ing. Quim., Univ. Nac. de San Juan, San Martin, Argentina
Abstract :
This work presents a novel linear algebra methodology able to adequately design the controller algorithm for an efficient trajectory tracking of a continuous stirred tank reactor (CSTR). The mathematical model of the CSTR is represented by a system of coupled nonlinear differential equations, which is then approximated through a discrete statement of the problem. The discrete model is reorganized as a system of linear equations, which is used to find out a simple solution for the optimal control actions. An advantage of the present approach is that both the condition of negligible tracking error and the calculation of control actions are obtained by solving a system of linear equations. A Monte Carlo method is used for tuning the controller adjustment parameters. The simulation results show a good performance of the proposed control law.
Keywords :
Monte Carlo methods; chemical reactors; control system synthesis; linear algebra; nonlinear differential equations; optimal control; Monte Carlo method; continuous stirred tank reactor; controller adjustment parameter tuning; controller design; coupled nonlinear differential equations; discrete model; linear algebra approach; nonlinear CSTR; optimal control actions; trajectory tracking; Chemical reactors; Cost function; Equations; Inductors; Mathematical model; Monte Carlo methods; Trajectory;
Conference_Titel :
Biennial Congress of Argentina (ARGENCON), 2014 IEEE
Conference_Location :
Bariloche
Print_ISBN :
978-1-4799-4270-1
DOI :
10.1109/ARGENCON.2014.6868473