Fuzzy modeling of rate-dependent hysteresis loop in giant magnetostrictive actuator
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摘要: 超磁致伸缩作动器的输入输出特性中存在磁滞非线性现象,它在很大程度上影响了振动主动控制的精度及其稳定性.针对这一非线性特性,提出了基于模糊树模型的建模方法,为了产生适合模糊树建模的数据,首先将原来磁滞环中的一维输入空间映射到高维输入空间,从而将磁滞环一维输入空间的多值函数问题变为高维输入空间的单值函数问题.该方法结构简单,计算量低,对输入数据维数不敏感,通过数值算例表明了该方法的有效性.Abstract: Hysteresis is a strongly nonlinear phenomenon which exists in the input and output property of a giant magnetostrictive actuator, which has influence on the precision and stability of active vibration control. So a method based on fuzzy tree model was presented to describe the hysteresis nonlinearity of giant magnetostrictive actuator. In order to obtain the data which was adapt to fuzzy tree modeling, the original one-dimension input space was first projected on a high dimension input space, then the multivalued function in one-dimension space could be converted into the single value function in the high dimension space. The proposed method has a simple architecture, which is of low computational load and is insensitive to the dimension of input-data set. The numerical simulation shows that the method is effective.
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Key words:
- fuzzy modeling /
- hysteresis loop /
- rate-dependent /
- giant magnetostrictive actuator
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[1] 苏密勇,谭永红,杨小明.磁滞非线性环节的建模与逆控制[J].桂林电子工业学院学报,2004,24(1):1-4 Su Miyong, Tan Yonghong, Yang Xiaoming.The modeling and the inverse control of systems with hysteresis[J]. Journal of Guilin University of Electronic Technology,2004,24(1):1-4(in Chinese) [2] Mayergoyz I D. Mathematical models of hysteresis[J]. IEEE Transactions on Magnetics, 1986, 22(5): 603-608 [3] Serpico C, d-Aquino M, Visone C, et al. A new class of Preisach type isotropic vector model of hysteresis[J]. Physica B: Condensed Matter, 2004,343:117-120 [4] Dapino M J, Smith R C, Flatau A B. An active and structural strain model for magnetostrictive transducers Part of the SPIE Conference on Smart Structure and Integrated Systems. San Diego, CA:SPIE, 1998, 3329:198-209 [5] Tan X, Venkataraman R, Krishnaprasad P S. Control of hysteresis: theory and experimental results Proc SPIE Int Soc Opt Eng. Newport Beach, CA: SPIE,2001, 4326:101-112 [6] 李超.磁致伸缩智能结构的建模、控制与实验研究 .北京:北京航空航天大学理学院,2006 Li Chao. Modeling, control and experimental study of magnetostrictive Smart Structure . Beijing: School of Science, Beijing University of Aeronautics and Astronautics, 2006(in Chinese) [7] Mao Jianqin, Zhang Jiangang. Adaptive-tree-structure based fuzzy inference system[J]. IEEE Transactions on Fuzzy Systems, 2005, 13(1):1-12 [8] Tan Xiaobo, Baras John S, Krishnaprasad P S. A dynamic model for magnetostrictive hysteresis Proceedings of the American Control Conference. Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc,2003,2:1074-1079 [9] Gelfand S B, Ravishankar C S. A tree-structured piecewise linear adaptive filter[J]. IEEE Transactions on Information Theory, 1993,39(6):1907-1922 [10] 周明,孙树栋.遗传算法原理及应用[M].北京:国防工业出版社,1999 Zhou Ming, Sun Shudong. Genetic algorithms: theory and application[M]. Beijing: National Defence Industry Press, 1999(in Chinese) [11] An Jinlong, Yang Qingxin, Ma Zhengpin. Study on method of modeling and controlling of magnetostrictive material 17th International Zurich Symposium on Electromagnetic Compatibility.Piscataway, NJ: IEEE, 2006:387-390
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