WANG Wan-ting,GUO Jin,FANG Chu,JIANG Zhen-hua,WANG Ting-feng.An improved Prandtl-Ishlinskii model for compensating rate-dependent hysteresis in fast steering mirror system[J].Optoelectronics Letters,2016,12(6):426-429
An improved Prandtl-Ishlinskii model for compensating rate-dependent hysteresis in fast steering mirror system
Author NameAffiliation
WANG Wan-ting State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
University of Chinese Academy of Sciences, Beijing 100049, China 
GUO Jin State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China 
FANG Chu State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
University of Chinese Academy of Sciences, Beijing 100049, China 
JIANG Zhen-hua State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China 
WANG Ting-feng State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China 
Abstract:
      To solve the rate-dependent hysteresis compensation problem in fast steering mirror (FSM) systems, an improved Prandtl-Ishlinskii (P-I) model is proposed in this paper. The proposed model is formulated by employing a linear density function into the STOP operator. By this way, the proposed model has a relatively simple mathematic format, which can be applied to compensate the rate-dependent hysteresis directly. Adaptive differential evolution algorithm is utilized to obtain the accurate parameters of the proposed model. A fast steering mirror control system is established to demonstrate the validity and feasibility of the improved P-I model. Comparative experiments with different input signals are performed and analyzed, and the results show that the proposed model not only suppresses the rate-dependent hysteresis effectively, but also obtains high tracking precision.
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