
Digital
Library of the European Council for Modelling
and Simulation 
Title: 
Simulation Study Of 1DOF Hybrid Adaptive Control
Applied On Isothermal Continuous Stirred Tank Reactor 
Authors: 
Jiri Vojtesek,
Lubos Spacek, Petr Dostal 
Published in: 
(2017).ECMS 2017 Proceedings
Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás
Zwierczyk, Ágnes VidovicsDancs, János Péter Rádics European Council for Modeling and Simulation. doi:10.7148/2017 ISBN:
9780993244049/ ISBN:
9780993244056 (CD) 31st European Conference on Modelling and
Simulation, Budapest, Hungary, May 23^{rd}
– May 26^{th}, 2017 
Citation
format: 
Jiri
Vojtesek, Lubos Spacek, Petr Dostal (2017). Simulation Study Of 1DOF Hybrid
Adaptive Control Applied On Isothermal Continuous Stirred Tank Reactor, ECMS
2017 Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi,
Péter Tamás Zwierczyk, Ágnes VidovicsDancs, János Péter Rádics
European Council for Modeling and Simulation. doi:
10.7148/20170446 
DOI: 
https://doi.org/10.7148/20170446 
Abstract: 
A
Continuous StirredTank Reactor is typical system with nonlinear behavior and
lumped parameters. The mathematical model of this type of reactor is described
by the set of nonlinear ordinary differential equations that are easily
solvable with the use of numerical methods. The big advantage of the computer
simulation is that once we have reliable mathematical model of the system we
can do thousands of simulation experiments that are quicker, cheaper and
safer then examination on the real system. The control approach used in this
work is a hybrid adaptive control where an adaptation process is satisfied by
the online recursive identification of the External Linear Model as a linear
representation of the originally nonlinear system. The polynomial approach
together with the Poleplacement method and spectral factorization satisfies
basic control requirements such as a stability, a
reference signal tracking and a disturbance attenuation. Moreover, these
methods produce also relations for computing of controller’s parameters. As a
bonus, the controlled output could be affected by the choice of the root
position in the Poleplacement method. The goal of this contribution is to
show that proposed controller could be used for various outputs as this
system provides five possible options. 
Full
text: 