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Angular velocity estimation using characteristics of star trails obtained by star sensor for spacecraft

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Abstract

Many studies have been conducted about angular velocity estimation using star sensors, and fairly good performance is achieved when the spacecraft is working at low-dynamic environments. However, when the spacecraft rotates at a large angular velocity, the star image will become blurred, which makes it difficult to identify and recognize star centroids, which, in turn, reduces the accuracy of angular velocity estimation. Therefore, to solve the problem with angular velocity estimation in highly dynamic situations, this research studies a method of angular velocity estimation using blurred star images. The length and ending point coordinates of star trails obtained from these blurred star images are used for a series of processes, which includes the pre-processing of blurred star images, determination of starting and ending points, thinning and selection of star trails, and calculation of trail lengths. Simulations show that the effectiveness of the proposed method in highly dynamic situations and the angular velocity estimation errors in constant and sinusoidal variation are reduced by at least 66% and 62%, respectively, compared with those of the traditional method.

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References

  1. Kudva P, Throckmorton A. Attitude determination studies for the Earth Observation System AM1 (EOS-AM1) mission. J Guid Control Dyn, 1996, 19: 1326–1331

    Article  Google Scholar 

  2. Rao G N, Alex T K, Bhat M S. Incremental-angle and angular velocity estimation using a star sensor. J Guid Control Dyn, 2002, 25: 433–441

    Article  Google Scholar 

  3. Hajiyev C, Cilden D, Somov Y. Gyro-free attitude and rate estimation for a small satellite using SVD and EKF. Aerospace Sci Tech, 2016, 55: 324–331

    Article  Google Scholar 

  4. Shi Z, Yang J, Yue P, et al. Angular velocity estimation in gyroscope-free inertial measurement system based on unscented kalman filter. In: Proceedings of 2010 8th World Congress on Intelligent Control and Automation (WCICA), 2010. 2031–2034

  5. Ma H, Xu S. Magnetometer-only attitude and angular velocity filtering estimation for attitude changing spacecraft. Acta Astronaut, 2014, 102: 89–102

    Article  Google Scholar 

  6. Pal M, Bhat M. Star sensor based spacecraft angular rate estimation independent of attitude determination. In: Proceedings of 2013 IEEE International Conference on Control Applications (CCA), 2013. 580–585

  7. Oshman Y, Markley F L. Sequential attitude and attitude-rate estimation using integrated-rate parameters. J Guid Control Dyn, 1999, 22: 385–394

    Article  Google Scholar 

  8. Bar-Itzhack I Y. Classification of algorithms for angular velocity estimation. J Guid Control Dyn, 2001, 24: 214–218

    Article  Google Scholar 

  9. Crassidis J L. Angular velocity determination directly from star tracker measurements. J Guid Control Dyn, 2002, 25: 1165–1168

    Article  Google Scholar 

  10. Liu H, Yang J, Yi W, et al. Angular velocity estimation from measurement vectors of star tracker. Appl Opt, 2012, 51: 3590–3598

    Article  Google Scholar 

  11. Jia H, Yang J K, Li X J, et al. Systematic error analysis and compensation for high accuracy star centroid estimation of star tracker. Sci China Technol Sci, 2010, 53: 3145–3152

    Article  Google Scholar 

  12. Schmidt U, Elstner C, Michel K. ASTRO 15 star tracker flight experience and further improvements towards the ASTRO APS star tracker. In: Proceedings of AIAA Guidance, Navigation and Control Conference and Exhibit, 2008. 18–21

  13. Xiong K, Jiang J. Reducing systematic centroid errors induced by fiber optic faceplates in intensified high-accuracy star trackers. Sensors, 2015, 15: 12389–12409

    Article  Google Scholar 

  14. Jiang J, Wang H, Zhang G. High-accuracy synchronous extraction algorithm of star and celestial body features for optical navigation sensor. IEEE Sens J, 2018, 18: 713–723

    Article  Google Scholar 

  15. Silani E, Lovera M. Star identification algorithms: novel approach & comparison study. IEEE Trans Aerosp Electron Syst, 2006, 42: 1275–1288

    Article  Google Scholar 

  16. Zhao Y, Wei X, Li J, et al. Star identification algorithm based on K-L transformation and star walk formation. IEEE Sens J, 2016, 16: 5202–5210

    Article  Google Scholar 

  17. Markley F L, Crassidis J L. Fundamentals of Spacecraft Attitude Determination and Control. New York: Springer, 2014. 287–343

    Book  Google Scholar 

  18. van der Ha J C. Spin-axis attitude determination and covariances in local sun-earth frame. J Guid Control Dyn, 2011, 34: 1720–1727

    Article  Google Scholar 

  19. Tang Y, Li J, Wang G. Spacecraft angular velocity estimation algorithm for star tracker based on optical flow techniques. Opt Eng, 2018, 57: 023101

    Article  Google Scholar 

  20. Ning X L, Ding Z H, Chen P P, et al. Spacecraft angular velocity estimation method using optical flow of stars. Sci China Inf Sci, 2018, 61: 112203

    Article  Google Scholar 

  21. Roshanian J, Yazdani S, Barzamini F. Application of PIV and delaunay triangulation method for satellite angular velocity estimation using star tracker. IEEE Sens J, 2018, 18: 10105–10114

    Article  Google Scholar 

  22. Jiang J, Huang J, Zhang G. An accelerated motion blurred star restoration based on single image. IEEE Sens J, 2017, 17: 1306–1315

    Article  Google Scholar 

  23. Sun T, Xing F, You Z, et al. Smearing model and restoration of star image under conditions of variable angular velocity and long exposure time. Opt Express, 2014, 22: 6009–6023

    Article  Google Scholar 

  24. Zhao J, Zhang C, Yu T, et al. Accuracy enhancement of navigation images using blind restoration method. Acta Astronaut, 2018, 142: 193–200

    Article  Google Scholar 

  25. Accardo D, Rufino G. A procedure for three-dimensional angular velocity determination using a star sensor in high-rate rotation modes. Acta Astronaut, 2001, 48: 311–320

    Article  Google Scholar 

  26. Fasano G, Rufino G, Accardo D, et al. Satellite angular velocity estimation based on star images and optical flow techniques. Sensors, 2013, 13: 12771–12793

    Article  Google Scholar 

  27. Wei X, Zhang G, Fan Q, et al. Star sensor calibration based on integrated modelling with intrinsic and extrinsic parameters. Measurement, 2014, 55: 117–125

    Article  Google Scholar 

  28. Otsu N. A threshold selection method from gray-level histograms. IEEE Trans Syst Man Cybern, 1979, 9: 62–66

    Article  Google Scholar 

  29. Sun T, Xing F, You Z, et al. Motion-blurred star acquisition method of the star tracker under high dynamic conditions. Opt Express, 2013, 21: 20096

    Article  Google Scholar 

  30. Gonzalez R C, Woods R E. Digital Image Processing. Beijing: Publishing House of Electronics Industry, 2017

    Google Scholar 

  31. Zhang T Y, Suen C Y. A fast parallel algorithm for thinning digital patterns. Commun ACM, 1984, 27: 236–239

    Article  Google Scholar 

  32. Singer R A. Estimating optimal tracking filter performance for manned maneuvering targets. IEEE Trans Aerospace Electr Syst, 1970, 4: 473–483

    Article  Google Scholar 

  33. Julier S J, Uhlmann J K. New extension of the Kalman filter to nonlinear systems. In: Proceedings of SPIE, 1997, 3068: 182–193

    Google Scholar 

  34. Asadnezhad M, Eslamimajd A, Hajghassem H. Optical system design of star sensor and stray light analysis. J Eur Opt Soc-Rapid Publ, 2018, 14: 1–11

    Article  Google Scholar 

  35. Ma L F, Wang Z D, Liu Y R, et al. Distributed filtering for nonlinear time-delay systems over sensor networks subject to multiplicative link noises and switching topology. Int J Robust Nonlin Control, 2019, 29: 2941–2959

    Article  MathSciNet  Google Scholar 

  36. Ma L, Wang Z, Han Q L, et al. Envelope-constrained H-infinity filtering for nonlinear systems with quantization effects: the finite horizon case. Automatica, 2018, 93: 527–534

    Article  Google Scholar 

  37. Ma L F, Wang Z D, Han Q L, et al. Consensus control of stochastic multi-agent systems: a survey. Sci China Inf Sci, 2017, 60: 120201

    Article  MathSciNet  Google Scholar 

  38. Chen Y G, Wang Z D, Qian W, et al. Finite-horizon H filtering for switched time-varying stochastic systems with random sensor nonlinearities and packet dropouts. Signal Process, 2017, 138: 138–145

    Article  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant No. 61722301). The authors wish to express their gratitude to all members of the Science & Technology on Inertial Laboratory and the Fundamental Science on Novel Inertial Instrument & Navigation System Technology Laboratory for their valuable comments.

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Correspondence to Xiaolin Ning or Yueqing Huang.

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Ning, X., Chen, P., Huang, Y. et al. Angular velocity estimation using characteristics of star trails obtained by star sensor for spacecraft. Sci. China Inf. Sci. 64, 112209 (2021). https://doi.org/10.1007/s11432-019-2824-y

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  • DOI: https://doi.org/10.1007/s11432-019-2824-y

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