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Optimal control of a linear unbranched chemical process with \(n\) steps: the quasi-analytical solution

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Abstract

In this paper we present a method to solve a constrained optimal control problem to calculate the optimal enzyme concentrations in a chemical process by considering the minimization of the transition time. The method, based on Pontryagin’s Minimum Principle, allows us to obtain the generalized solution of an \(n\)-step system with an unbranched scheme and bilinear kinetic models in an almost exclusively analytical way.

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Authors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    L. Bayón, J. M. Grau, M. M. Ruiz & P. M. Suárez

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  1. L. Bayón
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  2. J. M. Grau
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  3. M. M. Ruiz
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  4. P. M. Suárez
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Correspondence to L. Bayón.

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Bayón, L., Grau, J.M., Ruiz, M.M. et al. Optimal control of a linear unbranched chemical process with \(n\) steps: the quasi-analytical solution. J Math Chem 52, 1036–1049 (2014). https://doi.org/10.1007/s10910-013-0279-8

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  • DOI: https://doi.org/10.1007/s10910-013-0279-8

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