Volume 12 Number 1
February 2015
Article Contents
Peng Wang, Shu-Jie Li, Yan Lv and Zong-Hai Chen. Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems. International Journal of Automation and Computing, vol. 12, no. 1, pp. 70-76, 2015. doi: 10.1007/s11633-014-0820-7
Cite as: Peng Wang, Shu-Jie Li, Yan Lv and Zong-Hai Chen. Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems. International Journal of Automation and Computing, vol. 12, no. 1, pp. 70-76, 2015. doi: 10.1007/s11633-014-0820-7

Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems

  • Received: 2012-08-21
Fund Project:

This work was supported by National Natural Science Foundation of China (No. 61075073 and 61375079).

通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems

Fund Project:

This work was supported by National Natural Science Foundation of China (No. 61075073 and 61375079).

Abstract: A new approach to model and control an unknown system using subjective uncertain rules is proposed. This method is established by combining the grey system theory and the qualitative simulation method. The proposed approach mainly contains three steps. In the first step, subjective uncertain rules are accumulated gradually during cognizing the system; the mapping relations between the system inputs and outputs are built and represented using the grey qualitative matrix in the second step; in the third step, the generalized whitening function is defined to realize the transformation between qualitative and quantitative information. Besides the theoretical results, two sets of simulations based on a water level control system are conducted comparatively to demonstrate the effectiveness of the proposed method. The water level expectation is set to be constant in the first set, while it changes in the second set. The simulation results show that the proposed method tracks the water level expectation well. By combining the proposed method with proportional-integral-derivative (PID) or fuzzy logic controller (FLC), it can be concluded that the system can reach the stable state more quickly and the overshoot can also be reduced compared to using PID or FLC alone.

Peng Wang, Shu-Jie Li, Yan Lv and Zong-Hai Chen. Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems. International Journal of Automation and Computing, vol. 12, no. 1, pp. 70-76, 2015. doi: 10.1007/s11633-014-0820-7
Citation: Peng Wang, Shu-Jie Li, Yan Lv and Zong-Hai Chen. Grey Qualitative Modeling and Control Method for Subjective Uncertain Systems. International Journal of Automation and Computing, vol. 12, no. 1, pp. 70-76, 2015. doi: 10.1007/s11633-014-0820-7
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