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Adaptive control algorithm for optical path control of sparse aperture imaging system
Published:2023-11-01 author:QIAN Junhong, TAO Ye, ZHANG Rongzhu. Browse: 1113 Check PDF documents
Adaptive control algorithm for optical path control of sparse 
aperture imaging system


QIAN Junhong1,4, TAO Ye2, ZHANG Rongzhu3


(1.School of Unmanned Aerial Vehicles Industry, Chengdu Aeronautic Polytechnic, Chengdu 610065, China; 2.School of Mechanical 

Engineering, Sichuan University, Chengdu 610065, China; 3.College of Electronics and Information Engineering, Sichuan University, 

Chengdu 610065, China; 4.Chengdu Kaidi Seiko Technology Co., Ltd., Chengdu 610041, China)


Abstract: At present, the common phase error correction effect of sparse aperture imaging system is poor. Therefore, an adaptive control algorithm for optical path control of sparse aperture imaging system was proposed.Firstly, the proportional integral-derivative(PID)feedback control structure and expressions were derived after analyzing the accumulative error problems existing in the system with only feedforward control. Then, the two were combined to form a feedforward - improved PID feedback compound control system, and the control simulation of a single piezoelectric ceramic was carried out by the system. Finally, with the stochastic articulation as the optimal objective, a stochastic parallel gradient descent (SPGD)algorithm was used to form a joint control system for multiple piezoelectric ceramics in a sparse aperture imaging system. By building an experimental platform for a precision optical path control system, 1μm, 5μm, 8μm and 10μm displacement tracking experiments were conducted on a single piezoelectric ceramic using feedforward PID feedback compound control system. The experimental results show that the response curves of different displacements basically coincide with the expected displacement curves. The response time of different displacements can be effectively controlled within 0.08s, and the position error can be effectively controlled within ±3nm. The SPGD joint control system is used in a three-aperture sparse aperture imaging system for imaging comparison experiments of resolution plates.The quantitative evaluation of images before and after co-phasing error correction is obtained: evaluation value  J1=0.54 before correction and J2=0.78 after correction. The results show that the joint control system can effectively control the optical path precision, correct the co-phasing error, and realize the sub-beam interference imaging.

Key words: common phase error correction; piezoelectric ceramic; stochastic parallel gradient descent(SPGD) algorithm; composite control technology; precision optical path control system; sub-beam interference imaging
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