Parameter Optimization of Real-Time RK Formula Based on Genetic Algorithm

DOI

10.2991/emcs-17.2017.385How to use a DOI?

Keywords

Digital simulation; Genetic algorithm; Runge-Kutta formula; Real-time simulation; Parameter optimization

Abstract

Generally real-time Runge-Kutta(RK) formula should be provided with large stability region and small truncation error, when using real-time RK formula for real-time digital simulation of dynamics system. This paper analyses the stability region and truncation error of RK formula and considers the advantages of genetic algorithm for constrained optimization. And the parameter optimization for stability region and truncation error of RK formula is presented based on genetic algorithm principle and flow diagrams. Further, the maximum absolute stability region area and least truncation error of ODE23 and ODE34 and ODE45 RK formula can be calculated through setting nondeterministic parameters of RK formula as the optimization variables and setting eigenvalue stability region and truncation error as objective function. The parameter values of real-time RK formula are also obtained. Finally, this paper deduces the all order real-time RK formulas.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Zhenquan Huang
AU  - Erke Tong
AU  - Suying Liao
PY  - 2017/03
DA  - 2017/03
TI  - Parameter Optimization of Real-Time RK Formula Based on Genetic Algorithm
BT  - Proceedings of the 2017 7th International Conference on Education, Management, Computer and Society (EMCS 2017)
PB  - Atlantis Press
SP  - 2053
EP  - 2059
SN  - 2352-538X
UR  - https://doi.org/10.2991/emcs-17.2017.385
DO  - 10.2991/emcs-17.2017.385
ID  - Huang2017/03
ER  -