publication . Preprint . 2015

Global Controllability of Chemical Reactions

Drexler, Dániel András; Tóth, János;
Open Access English
  • Published: 13 Aug 2015
Controllability of chemical reactions is an important problem in chemical engineering science. In control theory, analysis of the controllability of linear systems is well-founded, however the dynamics of chemical reactions is usually nonlinear. Global controllability properties of chemical reactions are analyzed here based on the Lie-algebra of the vector fields associated to elementary reactions. A chemical reaction is controllable almost everywhere if all the reaction rate coefficients can be used as control inputs. The problem where one can not control all the reaction rate coefficients is also analyzed. The reaction steps whose reaction rate coefficients ne...
arXiv: Nuclear Experiment
free text keywords: Mathematics - Optimization and Control, 93B05
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21 references, page 1 of 2

[1] M. M. S. Amand, K. Tran, D. Radhakrishnan, A. S. Robinson, and B. A. Ogunnaike. Controllability analysis of protein glycosylation in cho cells. Plos One, 9:1-16, 2014.

[2] J.-M. Coron. Control and Nonlinearity. American Mathematical Society, 2007.

[3] P. Érdi and J. Tóth. Mathematical Models of Chemical Reactions. Theory and Applications of Deterministic and Stochastic Models. Princeton University Press, Princeton, New Jersey, 1989.

[4] A. Ervadi-Radhakrishnan and E. O. Voit. Controllability of non-linear biochemical systems. Math. Biosci., 196(1):99-123, 2005.

[5] G. Farkas. Local controllability of reactions. J. Math. Chem., 24:1-14, 1998.

[6] G. Farkas. On local observability of chemical systems. J. Math. Chem., 24:15-22, 1998.

[7] M. Feinberg and F. J. M. Horn. Chemical mechanism structure and the coincidence of the stoichiometric and kinetic subspaces. Archive for Rational Mechanics and Analysis, 66:83-97, 1977.

[8] Z. Horváth. Effect of lumping on controllability and observability. Poster presented at the Colloquium on Differential and Difference Equations dedicated to Frantisek Neumann on the occasion of his 65th birthday, pages 4-6, 2002.

[9] J. E. Humphreys. Introduction to Lie Algebras and Representation Theory. Springer Verlag, New York, 1972.

[10] A. Isidori. Nonlinear Control Systems. Springer-Verlag London, 1995.

[11] Y. Kim, B. Lee, S. Eo, and E. S. Yoon. A study on the evaluation and improvement of structural controllability of chemical processes. Comp. Chem. Engng., 24:931-936, 2000.

[12] C. K. Law. Combustion at a crossroads: Status and prospects. Proceedings of the Combustion Institute, 31(1):1 - 29, 2007.

[13] B. Lee, Y. Kim, D. Shin, and E. S. Yoon. A study on the evaluation of structural controllability in chemical processes. Comp. Chem. Engng., 25:85-95, 2001.

[14] D. R. Lewin and D. Bogle. Controllability analysis of an industrial polymerization reactor. Comp. Chem. Engng., 20:871-876, 1996.

[15] R. Maya-Yescas and R. Aguilar. Controllability assessment approach for chemical reactors: nonlinear control affine systems. Chem. Eng. J., 92:69-79, 2003. [OpenAIRE]

21 references, page 1 of 2
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