Chaos Suppression via Euler-Lagrange Control Design for a Class of Chemical Reacting System

In this work the problem of chaos suppression for a class of continuous chemical reactor with chaotic dynamics is tackled via a nonlinear control strategy. The proposed controller is developed under the framework of optimal control theory, where a functional is proposed to maximize the chemical reac...

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Bibliographic Details
Published in:Mathematical problems in engineering 2018-01, Vol.2018 (2018), p.1-6
Main Author: Aguilar-López, R.
Format: Article
Language:English
Subjects:
Chaos theory
Chemical reactions
Chemical reactors
Control algorithms
Control theory
Design
Economic models
Engineering
Equations of state
Extreme values
Genetic algorithms
Mathematical problems
Nonlinear control
Optimal control
Organic chemistry
Polymerization
Studies
Variables
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Summary:In this work the problem of chaos suppression for a class of continuous chemical reactor with chaotic dynamics is tackled via a nonlinear control strategy. The proposed controller is developed under the framework of optimal control theory, where a functional is proposed to maximize the chemical reaction rate via a proposed Lagrangian-type which contains directly the state equation of the reacting system, avoiding the problems of Lagrange, the Hamiltonian formulation, and consequently the explicit constraints to the system. This allows solving in an easier form the optimization problem in comparison with the standard methods. This procedure allows suppressing the chaotic behavior of the reacting system by stabilizing the reaction rate term by leading it to an extreme value. Numerical experiments are done in order to show the satisfactory performance of the proposed methodology.
ISSN:1024-123X
1563-5147
DOI:10.1155/2018/3802801