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.
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.
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Artikel in diesem Heft
- Frontmatter
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- Mixing performance of an electroosmotic micromixer with Koch fractal structure
- Minimum time controller in a class of chemical reactors based on Lagrangian approach
- Better efficiency for the olefin plant demethanizer tower by replacing trays with packing
- CFD-PBM simulation of hydrodynamics of microbubble column with shear-thinning fluid
- Predictive model development and simulation of photobioreactors for algal biomass growth estimation
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- CFD simulation of ultrasonic atomization pyrolysis reactor: the influence of droplet behaviors and solvent evaporation
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- CFD simulations of stirred-tank reactors for gas-liquid and gas-liquid-solid systems using OpenFOAM®
Artikel in diesem Heft
- Frontmatter
- Articles
- Mixing performance of an electroosmotic micromixer with Koch fractal structure
- Minimum time controller in a class of chemical reactors based on Lagrangian approach
- Better efficiency for the olefin plant demethanizer tower by replacing trays with packing
- CFD-PBM simulation of hydrodynamics of microbubble column with shear-thinning fluid
- Predictive model development and simulation of photobioreactors for algal biomass growth estimation
- Kinetic analysis of dual impellers on methane hydrate formation
- CFD simulation of ultrasonic atomization pyrolysis reactor: the influence of droplet behaviors and solvent evaporation
- Mesoporous KIT-6 supported Cr and Co-based catalysts for microwave-assisted non-oxidative ethane dehydrogenation
- CFD simulations of stirred-tank reactors for gas-liquid and gas-liquid-solid systems using OpenFOAM®