Difference between Numerical Derivative and Physical Derivative Realization and Its Affection to Stability Analysis
Haibo Liu, Jinhuang Wu, Dingxiong Zhang, Hong Wang, Junwei Lei
Available Online April 2016.
- 10.2991/ameii-16.2016.298How to use a DOI?
- Physical derivative, stability, numerical derivative, numerical simulation
A kind derivative algorithm is discussed and the difference of numerical derivative and physical derivative is analyzed. What is more important is that the first step error problem is proposed and its bad affection to the system stability is shown by using a first order system as an example. Also the reason for unstable phenomenon is analyzed by using differential method. At last, detailed numerical simulation is given to shown the rightness of the proposed main conclusion.
- © 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 - Haibo Liu AU - Jinhuang Wu AU - Dingxiong Zhang AU - Hong Wang AU - Junwei Lei PY - 2016/04 DA - 2016/04 TI - Difference between Numerical Derivative and Physical Derivative Realization and Its Affection to Stability Analysis BT - Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016) PB - Atlantis Press SN - 2352-5401 UR - https://doi.org/10.2991/ameii-16.2016.298 DO - 10.2991/ameii-16.2016.298 ID - Liu2016/04 ER -