تخمین مدار یک ماهواره با اتصال عمیق مشاهده گر GNSS در فیلتر کالمن خنثی (UKF)

نوع مقاله: مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 عضو هیات علمی دانشگاه تهران

2 دانشکده علوم و فنون نوین، دانشگاه تهران

چکیده

با اتصال عمیق یک (UKF) این پژوهش به تخمین مدار یک ماهواره نوعی با استفاده از فیلتر کالمن خنثی در حلقه آن م یپردازد. در این راستا، ابتدا مدار ماهواره با لحاظ کردن اثرات ناهمگونی GNSS مشاهده گر با UKF زمین شبی هسازی شده و اثرات تغییرات زمانی مدار نیز در حلقه تخمین اعمال گردید. سپس الگوریتم استفاده از مدل غیرخطی دینامیک مداری، پیشبینی اولیه را انجام می دهد. در ادامه با استفاده از یک و سیستم فضایی مورد مطالعه به عنوان پارامتر GPS که در آن مسافت بین ماهواره GPS مشاهده گر فرض می شود (اتصال عمیق)، تصحیحات موقعیت ماهواره در فضا به همراه پی شبینی خطاهای انجام می گردد. نتایج حاصل از این تحقیق، حاکی از تخمین مدار ماهواره با خطای قابل قبول GPS مشاهدات در کاربردهای فضایی است.

کلیدواژه‌ها


عنوان مقاله [English]

Orbit Determination via a Deeply- Coupled UKF/GNSS Filter

نویسندگان [English]

  • MohammadAli Amiri Atashgah 1
  • Hamid Gazerpour 2
  • S.A.Reza Roghangir 2
چکیده [English]

This paper is dedicated to determining the orbit of a satellite by using Unscented Kalman Filter (UKF), in which, a GNSS is used as the observation sensor. During this goal, firstly we have simulated the satellite orbit; considering oblations effect. Secondly, exploiting a nonlinear model of orbit dynamics, preliminary orbit determination is prepared via UKF algorithm. The range between the satellites and space vehicle as the parameter of observation in the filter is obtained. Afterwards, the estimated preliminary output data is corrected and more precise position of the GNSS satellite is determined based on predicted observations errors. Consequently, the outcomes of the research exhibits the acceptable satellite orbit determination error range.

کلیدواژه‌ها [English]

  • Orbit estimation
  • GPS/GNSS
  • Unscented kalman Filter (UKF)
  • GNSS error prediction

1]   Kalman, S.U., GPS-Based Real-Time Orbit Determination of Artificial Satellites Using Kalman, Particle, Unscented Kalman and H-Infinity Filters, (Ph.D. Thesis), Middle East Technical University, 2011.

[2]  Sunny, L. and Montenbruck, O., "Real-time navigation of Formation-Flying Spacecraft using Global-Positioning-System Measurements," Journal of Guidance, Control, and Dynamics, Vol. 28, No.2, 2005, pp. 226-235.

[3]  Misra, P. and Enge, P., Global Positioning System: Signals, Measurements and Performance Second Edition. Lincoln, MA: Ganga-Jamuna Press, 2006.

[4] Azmudeh, A.R. and Marzieh, B., "Ionospheric Error Modeing with Correcting of Components of Coordinate and velocity vector." Journal of Engineering Faculty of University of Tehran,V. 38, n. 6, 1383, pp. 823-830. (in Persian)

 [5] Safari, A., Sharifi, M., Farzaneh, S. "Kinematic Velocity Determination for the Low-Earth-Orbit Satellites using the Extended Kalman Filter: a Case Study, the GRACE twin Satellites" Earth and Space Physics Journal, Vol. 38, No. 4, 1393, pp. 67-82. (in Persian)

 [6] Salem, J., Zeighami, M. and Alavi S. M., "Modelling of LEO Satellites Trajectories and Their Tracking With Extended Kalman Filter (EKF) & Unscented Kalman Filter (UKF)" Journal of Radar, Vol. 2, No. 2, 1393, pp. 39-48 (in Persian)

 [7] Bolandi, H., Ashtari, M. H., Esmaeilzadeh, M. and Haghparast M., "Increasing Accuracy of Satellite Position Prediction with Considering Harmonics of Potential Function of the Earth." Journal of Space Science & Technology, Vol. 6, No. 3, 1392, pp. 27-38 (in Persian).

 [8] Available, [on line]: http://www.nasa.gov/worldbook/ artificial_satellites_worldbook.htm

[9] Howard, C., Orbital Mechanics for Engineering Students. Butterworth-Heinemann, 2013.

[10]Giannitrapani, A. and et al. "Comparison of EKF and UKF for Spacecraft Localization Via Angle Measurements," Aerospace and Electronic Systems, IEEE Transactions on Vol. 47, No.1,2011, pp. 75-84.

[11]Gomes, Vivian M., Koiti Kuga, H. and Marins Chiaradia, A. P., "Real Time Orbit Determination using GPS Navigation Solution," Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 29, No. 3, 2007, pp. 274-278.

[12] Wu, Jinjie, et al. "Particle Filter using a New Resampling Approach Applied to LEO Satellite Autonomous Orbit Determination with a Magnetometer," Acta Astronautica, Vol. 81, No .2, 2012, pp. 512-522.

[13]Hartikainen, J., Solin, A. and Särkkä, S., "Optimal Filtering with Kalman Filters and Smoothers a Manual for the Matlab Toolbox EKF/UKF Version 1.3.", 2011.

[14]Global Positioning System Overview, Peter H. Dana. Available [on line]: http://www.colorado.edu/geography/ gcraft/notes/gps/gps_f.html.

[15] Available [on line]:page:www.en.wikipedia.org/wiki/ Global_Positioning_System.

[16]Mehartash, M., "GPS Navigation Toolbox," Engineering and Computer Science, 2008.