An improved Prandtl-Ishlinskii model for compensating rate-dependent hysteresis in fast steering mirror system

• Published in: Optoelectronics letters Vol. 12; no. 6; pp. 426 - 429
• Main Author: 王婉婷 郭劲 方楚 姜振华 王挺峰
• Format: Journal Article
• Language: English
• Published: Tianjin Tianjin University of Technology 01.11.2016; Springer Nature B.V
• Subjects: Adaptive algorithms; Adaptive systems; Evolutionary algorithms; Evolutionary computation; Hysteresis; Lasers; Operators (mathematics); Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Steering
• ISSN: 1673-1905; 1993-5013
• DOI: 10.1007/s11801-016-6188-x

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.