Composite Control Algorithm Parameters Optimization of Large‐Aperture Tilt Mirror

Yong Cheng; Lingxi Kong; Shenghu Liu; Bing Ran; Kangjian Yang; Wang Zhao; Chunlin Guan; Ping Yang

doi:10.3788/CJL241287

Chinese Journal of Lasers, Volume. 52, Issue 7, 0705002(2025)

Composite Control Algorithm Parameters Optimization of Large‐Aperture Tilt Mirror

Yong Cheng^1,2,3, Lingxi Kong^1,2,3, Shenghu Liu^1,2,3, Bing Ran⁴, Kangjian Yang^1,2、**, Wang Zhao^1,2, Chunlin Guan^1,2, and Ping Yang^1,2、*

Author Affiliations

¹National Key Laboratory of Adaptive Optics, Chengdu 610209, Sichuan , China

²Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 616209, Sichuan , China

³University of Chinese Academy of Sciences, Beijing 100049, China

⁴Ordnance NCO Academy, Army Enginering University of PLA, Wuhan 430075, Hubei , China

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Figures & Tables(17)

Fig. 1. Schematic diagram of adaptive beam jitter control system

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Fig. 2. Diagram of beam jitter feedback control system

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Fig. 3. Structure of controller

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Fig. 4. Power spectral density of open-loop beam jitter

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Fig. 5. Comparison of residual variance suppression effect of dual two-order filter. (a) Bode diagram of error suppression; (b) relationship between parameter and residual variance ratio

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Fig. 6. Comparison of residual variance suppression effect of composite controller. (a) Bode diagram of composite controller;

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Fig. 7. Composite controller optimized results of single frequency narrowband jitter . (a) Bode diagram; (b) comparison of power spectrum

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Fig. 8. Beam jitter suppression effects under initial parameters. (a) Bode diagram; (b) comparison of power spectrum; (c) residual variance

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Fig. 9. Suppression effects of composite controller after parameter optimization. (a) Bode diagram; (b) comparison of power spectrum; (c) residual variance

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Fig. 10. Experimental diagram of composite control algorithm to suppress beam jitter after parameter optimization

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Fig. 11. Open-loop frequency response diagram of tilt mirror

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Fig. 12. Experiment results of composite controller to suppress beam jitter after parameter optimization. (a) Frequency response of composite controller; (b) comparison of beam jitter suppression signal; (c) comparison of power spectral density; (d) residual variance

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Table 1. Initial parameters of PI controller, phase compensation, and resonance elimination controller
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Table 1. Initial parameters of PI controller, phase compensation, and resonance elimination controller
PI controller Phase compensation Resonance elimination controller
k_i K_p $ω_{m}$ $φ_{m}$ $ξ_{z r e s}$ $ξ_{p r e s}$ $ω_{z r e s}$ $ω_{p r e s}$
0.002 100 70.3 1 1 0.2 800 705

Table 2. Initial parameters of dual two-order filter
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Table 2. Initial parameters of dual two-order filter
Frequency /Hz $ξ_{z}$ $ξ_{p}$ $ω_{z}$ $ω_{p}$
30 0.20 1.00 30.3 18
70 0.20 0.50 70.3 55
146 0.25 0.48 147.0 130

Table 3. Optimized parameters of PI controller, phase compensation, and resonance elimination controller
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Table 3. Optimized parameters of PI controller, phase compensation, and resonance elimination controller
PI controller Phase compensation Resonance elimination controller
k_i K_p $ω_{m}$ $φ_{m}$ $ξ_{z r e s}$ $ξ_{p r e s}$ $ω_{z r e s}$ $ω_{p r e s}$
4×10^-5 80 68.3 0.02 0.8 0.004 799.6 704.7

Table 4. Optimized parameters of dual two-order filter
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Table 4. Optimized parameters of dual two-order filter
Frequency /Hz $ξ_{z}$ $ξ_{p}$ $ω_{z}$ $ω_{p}$
30 0.004 0.80 29.9 17.7
70 0.004 0.40 69.9 54.7
146 0.050 0.28 146.7 129.7

Table 5. Comparison of experimental results before and after parameter optimization
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Table 5. Comparison of experimental results before and after parameter optimization
Parameter
Initial
residual /
µrad²
Control
residual /
µrad²
Residual variance suppression ratio /
%
Initial value 117.48 84.58 28.0
Simulated value 117.48 44.35 62.2
Experiment value 200.05 93.93 53.1

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Yong Cheng, Lingxi Kong, Shenghu Liu, Bing Ran, Kangjian Yang, Wang Zhao, Chunlin Guan, Ping Yang. Composite Control Algorithm Parameters Optimization of Large‐Aperture Tilt Mirror[J]. Chinese Journal of Lasers, 2025, 52(7): 0705002

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Paper Information

Category: Beam transmission and control

Received: Oct. 28, 2024

Accepted: Dec. 3, 2024

Published Online: Apr. 15, 2025

The Author Email: Kangjian Yang (296695126@qq.com), Ping Yang (pingyang2516@163.com)

DOI:10.3788/CJL241287

CSTR:32183.14.CJL241287

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Initial parameters of PI controller, phase compensation, and resonance elimination controller

Table 1. Initial parameters of PI controller, phase compensation, and resonance elimination controller

Table 2. Initial parameters of dual two-order filter

Table 2. Initial parameters of dual two-order filter

Table 3. Optimized parameters of PI controller, phase compensation, and resonance elimination controller

Table 3. Optimized parameters of PI controller, phase compensation, and resonance elimination controller

Table 4. Optimized parameters of dual two-order filter

Table 4. Optimized parameters of dual two-order filter

Table 5. Comparison of experimental results before and after parameter optimization

Table 5. Comparison of experimental results before and after parameter optimization