Research on Error Estimation and Continuous Runge-Kutta Algorithm for Real-time Simulation
Authors
Zhen-quan Huang, Er-ke Tong, Zhiqiang Yang
Corresponding Author
Zhen-quan Huang
Available Online June 2016.
- DOI
- 10.2991/mmebc-16.2016.242How to use a DOI?
- Keywords
- real-time simulation, step-change, error estimation, continuous RK algorithm.
- Abstract
In order to evaluate the error of the Runge-Kutta (RK) algorithm used in real-time simulation and apply it to real-time simulation problems with dense output, based on the ODE45 with maximum stability region and least truncation error, this paper adopts a variable step-size strategies and derives a relative ODE35 RK algorithm(a combination of a third- and fifth-order method) to solve error estimation problem. Further, it is extended as the continuous RK algorithm. Thus it can not only be used for real-time simulation, but also be applied to non-real-time variable step-size simulation.
- Copyright
- © 2016, 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/).
Cite this article
TY - CONF AU - Zhen-quan Huang AU - Er-ke Tong AU - Zhiqiang Yang PY - 2016/06 DA - 2016/06 TI - Research on Error Estimation and Continuous Runge-Kutta Algorithm for Real-time Simulation BT - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer PB - Atlantis Press SP - 1189 EP - 1192 SN - 2352-5401 UR - https://doi.org/10.2991/mmebc-16.2016.242 DO - 10.2991/mmebc-16.2016.242 ID - Huang2016/06 ER -