1. bookVolume 5 (2012): Issue 2 (October 2012)
Journal Details
License
Format
Journal
eISSN
1339-3065
ISSN
1337-978X
First Published
10 Dec 2012
Publication timeframe
2 times per year
Languages
English
access type Open Access

Robust constrained MPC stabilization of a CSTR

Published Online: 14 Dec 2012
Volume & Issue: Volume 5 (2012) - Issue 2 (October 2012)
Page range: 153 - 158
Journal Details
License
Format
Journal
eISSN
1339-3065
ISSN
1337-978X
First Published
10 Dec 2012
Publication timeframe
2 times per year
Languages
English
Abstract

The paper addresses a case study of robust stabilization of a continuous stirred tank reactor using robust model-based predictive control with constrained input variables. One exothermic reaction runs in the reaction mixture and the reactor is modelled in the form of an uncertain polytopic system. The control approach is based on solution of a set of linear matrix inequalities. This formulation enables to use convex optimization methods to design a gain matrix of a state feedback controller in each control step. The task of stabilization is solved in assumed control conditions with respect to symmetric constraints on control inputs. The control performance achieved by robust constrained model-based predictive control is studied via simulations. Obtained results confirm that the robust constrained model-based predictive control ensures the stability demands and the quality requirements represented by chosen quadratic cost function.

Keywords

Bakošova M, Oravec J (2012) Proc. of the 39th Int. Conf. of SSChE: 5-16.Search in Google Scholar

Bakošova M, Puna D, Vasičkaninova A, Karšaiova M (2010) Selected Topics in Modelling and Control 6: 19-25.Search in Google Scholar

Cuzzola FA, Geromel JG, Morari M (2002) Automatica 38: 1181-1189.Search in Google Scholar

Ding B (2010) Automatica 46: 1517-1523.10.1016/j.automatica.2010.06.014Search in Google Scholar

Dostal P, Bakošova M, Vojtěšek J, Bobal V (2011) Chemical Papers 5: 636-643.Search in Google Scholar

Favache A, Dochain D (2010) Automatica 46: 1877-1883. Kothare MV, Balakrishnan V, Morari M (1996) Automatica 32: 1361-1379.Search in Google Scholar

Kvasnica M, Herceg M, Čirka Ľ, Fikar M (2010) Chemical Papers 3: 301-309.Search in Google Scholar

Lofberg J (2004) Proc. of the CACSD Conference: 284-289.Search in Google Scholar

Molnar A, Markoš J, Jelemensky Ľ (2002) Chemical Papers 56: 357-361.Search in Google Scholar

Pannocchia G, Wright SJ, Rawlings JB (2011) Journal of Process Control 21: 1458-1466.10.1016/j.jprocont.2011.06.010Search in Google Scholar

Polik I (2010) <http://sedumi.ie.lehigh.edu/>.Search in Google Scholar

Wan Z, Kothare MV (2003) Automatica 39: 837-846.10.1016/S0005-1098(02)00174-7Search in Google Scholar

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