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Authors: Ivan Ryzhikov ; Eugene Semenkin and Ilia Panfilov

Affiliation: Siberian State Aerospace University, Russian Federation

ISBN: 978-989-758-198-4

Keyword(s): Dynamic System, Linear Differential Equation, Evolutionary Strategies, Parameters Identification, Initial Value Estimation, Order Estimation.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Evolutionary Computing ; Genetic Algorithms ; Industrial Engineering ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Optimization Algorithms ; Signal Processing, Sensors, Systems Modeling and Control ; Soft Computing ; System Modeling ; Systems Modeling and Simulation

Abstract: A dynamic system identification problem is considered. It is an inverse modelling problem, where one needs to find the model in an analytical form and a dynamic system is represented with the observation data. In this study the identification problem was reduced to an optimization problem, and in such a way every solution of the extremum problem determines a linear differential equation and coordinates of the initial value. The proposed approaches do not require any assumptions of the system order and the initial value coordinates and estimates the model in the form of a linear differential equation. These variables are estimated automatically and simultaneously with differential equation coefficients. Problem-oriented evolution-based optimization techniques were designed and applied. Techniques are based on the evolutionary strategies algorithm and have been improved to achieve efficient solving of the reduced problem for every proposed determination scheme. Experimental results conf irm the reliability of the given approach and the usefulness of the reduced problem solving tool. (More)

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Paper citation in several formats:
Ryzhikov, I.; Semenkin, E. and Panfilov, I. (2016). Evolutionary Optimization Algorithms for Differential Equation Parameters, Initial Value and Order Identification.In Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-198-4, pages 168-176. DOI: 10.5220/0005979201680176

@conference{icinco16,
author={Ivan Ryzhikov. and Eugene Semenkin. and Ilia Panfilov.},
title={Evolutionary Optimization Algorithms for Differential Equation Parameters, Initial Value and Order Identification},
booktitle={Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2016},
pages={168-176},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005979201680176},
isbn={978-989-758-198-4},
}

TY - CONF

JO - Proceedings of the 13th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Evolutionary Optimization Algorithms for Differential Equation Parameters, Initial Value and Order Identification
SN - 978-989-758-198-4
AU - Ryzhikov, I.
AU - Semenkin, E.
AU - Panfilov, I.
PY - 2016
SP - 168
EP - 176
DO - 10.5220/0005979201680176

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