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Minimum time controller in a class of chemical reactors based on Lagrangian approach

  • Ricardo Aguilar-López and Juan L. Mata-Machuca EMAIL logo
Published/Copyright: February 3, 2021

Abstract

The main goal of this work is the construction of a class of controller, which employs directly a Lagrangian formulation to resolve the classical brachistochrone problem, this allows to obtain an optimal controller which reaches in a minimum time the stabilization of an isothermal continuous stirred tank reactor, whose chemical kinetic model is based on the power law. The proposed methodology is compared with an input/output linearizing which achieve asymptotic and exponential closed-loop convergence, sliding-mode controller with a finite time convergence and an exact gradient optimal control to compare the time convergence performance. Numerical experiments show the satisfactory performance of the proposed controller, despite sustained disturbances in the concentration input feed.


Corresponding author: Juan L. Mata-Machuca, Department of Advanced Technologies, UPIITA, Instituto Politécnico Nacional, 07320Mexico City, Mexico, E-mail:

Funding source: Secretaría de Investigación y Posgrado, Instituto Politécnico Nacional

Award Identifier / Grant number: SIP20201803

Funding source: Instituto Politécnico Nacional

Acknowledgments

This paper was supported by the Secretaría de Investigación y Posgrado of the Instituto Politécnico Nacional (SIP-IPN) under the research grant SIP20201803.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This paper was supported by the Secretaría de Investigación y Posgrado of the Instituto Politécnico Nacional (SIP-IPN) under the research grant SIP20201803.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2020-09-18
Accepted: 2020-11-25
Published Online: 2021-02-03

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