Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Informatics in Control, Automation and Robotics, ICINCO 2017; Madrid; Madrid
Год издания: 2017
Ключевые слова: Multi-output System, linear differential equation, multi-objective optimization, parameters identification, Initial value estimation
Аннотация: 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 dynПоказать полностьюamical 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.
Журнал: ICINCO 2017
Выпуск журнала: 1
Номера страниц: 497-504
Издатель: SCITEPRESS – Science and Technology Publications