Multi-objective Dynamical System Parameters and Initial Value Identification Approach in Chemical Disintegration Reaction Modelling

Ivan Ryzhikov, Christina Brester, Eugene Semenkin

2017

Abstract

A multi-criteria multi-output dynamical system identification problem is considered. The inverse mathematical problem of estimating the parameters of a system of differential equations and its initial point using the measured data is provided for the hexadecane disintegration reaction. The aim of modelling is to approximate the dynamical behaviour of hexadecane and the concentrations of its products, which according to chemical kinetics are determined by a differential equation. Since the dynamical model adequacy is based on the error between its output and the sample data and the output itself depends on the initial point values, the inverse mathematical modelling problem is the simultaneous estimation of the model parameters and the initial point. At the same time, the initial point is unknown and the sample data is noisy, and for this reason, the inverse mathematical modelling problem is reduced to a two-objective optimization problem. The reduced problem is a sample of black-box optimization problems; it is complex, multimodal and requires a reliable technique to solve it. This is why a specific heterogeneous multi-objective genetic algorithm with the island meta-heuristic is used and its efficiency in solving this problem is proved by the investigation results.

Paper Citation

in Harvard Style

Ryzhikov I., Brester C. and Semenkin E. (2017). Multi-objective Dynamical System Parameters and Initial Value Identification Approach in Chemical Disintegration Reaction Modelling . In Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-263-9, pages 497-504. DOI: 10.5220/0006431504970504

in Bibtex Style

@conference{icinco17,
author={Ivan Ryzhikov and Christina Brester and Eugene Semenkin},
title={Multi-objective Dynamical System Parameters and Initial Value Identification Approach in Chemical Disintegration Reaction Modelling},
booktitle={Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2017},
pages={497-504},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006431504970504},
isbn={978-989-758-263-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 14th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Multi-objective Dynamical System Parameters and Initial Value Identification Approach in Chemical Disintegration Reaction Modelling
SN - 978-989-758-263-9
AU - Ryzhikov I.
AU - Brester C.
AU - Semenkin E.
PY - 2017
SP - 497
EP - 504
DO - 10.5220/0006431504970504