Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (11): 3745-3750.doi: 10.13229/j.cnki.jdxbgxb.20240112

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Integral terminal sliding mode controller of fast steering mirror based on improved dragonfly algorithm

Jian-xin FENG(),Hao-yang LI,Jian-xiong GONG,Bai-chun GONG   

  1. Academy of Astronautics，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
  • Received:2024-02-28 Online:2025-11-01 Published:2026-02-03

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Abstract:

In order to improve the tracking accuracy and anti-interference ability of the fast steering mirror（FSM） in the space laser communication tracking and aiming system， a new integral fast non-singular terminal sliding mode controller was designed. By designing an integral fast non-singular terminal sliding surface， the performance of the sliding mode stage is improved， and a new exponential convergence rate is designed to improve the dynamic quality of the convergence stage. The dragonfly algorithm（DA） was used to optimize the controller parameters， in order to improve the dynamic performance of the system and ensure strong robustness， in view of the shortcomings of the traditional DA， the adjustment methods of the inertia factor， queue weight， and aggregation weight of the DA are improved， it also introduces a dimension-by-dimension evaluation mechanism and an improved position update mechanism of the Sine cosine algorithm to further improve the optimization capability of the DA. Finally， the effectiveness of the proposed method in the fast mirror control process was verified through simulation.

Key words: fast steering mirror, nonsingular terminal sliding mode, integral sliding mode, dragonfly algorithm, parameter optimization

CLC Number: 

  • TP 273

Table 1

Standard test function"

函数名维数搜索区间
香蕉函数10［-30，30］
拉斯特里金函数10［-5.12，5.12］
阿克力函数10［-32，32］
格栅函数10［-600，600］
惩罚函数10［-50，50］
谢克尔函数2［-65.536，65.536］
科瓦利克函数4［-5，5］
驼峰函数2［-5，5］

Table 2

Results of standard function"

函数名IDADA
最小值平均值最小值平均值
香蕉函数76.226 34 784.9359.67220 095
拉斯特里金函数9.604 637.806 914.288 744.059 4
阿克力函数3.054 75.745 94.541 68.238 3
格栅函数1.093 22.153 41.106 73.357 2
惩罚函数0.878 955.325 21.218298.877 3
谢克尔函数0.9982.749 90.9985.921
科瓦利克函数5.56E-040.001 58.48E-040.008 3
驼峰函数-1.031 6-1.031 6-1.031 6-1.031 6

Fig.1

Comparison of the output responses of the two approach laws when tracking step signals"

Fig.2

Comparison of output responses of the three integral sliding mode surfaces"

Table 3

Optimized controller parameters and corresponding minimum fitness values"

算法βλbkηMinfit
DA3.46×10-374.291 20.148 56.67×1054.060 9×10-4
IDA1.18×10-317.349 20.154 62.90×1062.473 7×10-4

Fig.3

Fitness function convergence curve"

Fig.4

Signals that simulate satellite vibrations"

Fig.5

Comparison of steady-state error without disturbance"

Fig.6

Steady-state error comparison chart after adding disturbance"

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