Bu çalışmada bir alçak yörünge uydusunun kinematik ve dinamik denklemleri elde edilerek döngüsel hareket için matematiksel model oluşturulmuştur. Kepler parametreleri kullanılarak bu alçak yörünge uydusunun yörünge hareket modeli elde edilmiştir. Döngüsel hareket modelden elde edilen yönelim bilgilerine gürültü eklenerek yönelim sensör verileri üretilmiştir. INS/GPS entegre navigasyon yapısı için sistem ve ölçüm modelleri elde edilerek farklı sensörlerden alınan yönelim bilgileri birleştirilmiştir. Sensör veri birleştirmede genişletilmiş Kalman filtre algoritmaları kullanılmıştır. Kestirilen yönelim bilgisi ile ölçülen ve gerçek yönelim bilgisi karşılaştırılmıştır. Sonuçlardan kestirilen yönelim bilgisinin gerçek yönelim bilgisine en yakın değer olduğu gözlemlenmiştir. Tüm çalışma MATLAB/Simulink ortamında gerçekleştirilmiştir.
F. Vatalaro, G.E. Corazza, C. Ferralli, “Analysis of LEO, MEO
and GEO global mobile satellite systems in the presence of
interference and fading”, IEEE Journal on Selected areas in
Communication.
C. Saunders, “The role of small satellites in military
communications”, IET Seminar on Military Satellite
Communication, 2013.
Prol F. S., Ferre R. M., Saleem Z., “Position, Navigation, and
Timing (PNT) Through Low Earth Orbit (LEO) Satellites, IEEE
Access, 2022.
Neinovare M., Khalife J. and Kassas Z. M., “Exploting
starlink Signals for Navigation: First Results”, GNSS
Conferences, 20-24 September, 2021.
B. Gao, G. Hu, Y. Zhong, and X. Zhu, “Cubature Kalman
Filter with Both Adaptability and Robustness for Tightly-coupled
GNSS/INS Integration,” IEEE Sensors Journal, 2021.
Tan N. D., Vinh T. Q., Tuyen B. T., “A new approach for Small
Satellite Gyroscope and Star Tracker Fusion”, Indian Journal of
Science and Technologgy, Vol 9(17), 2016
Ilyas M., Lim J., Lee J. G., Park C. G., “Federated unscented
Kalman filter design for multiple satellites formation flying in
LEO”, IEEE 2008 International conference on control automation
and systems
I. Lee, H. Li, N. Hoang, and J. Lee, “Navigation system
development of the underwater vehicles using the GPS/INS
sensor fusion,” 14th International Conference on Control,
Automation and Systems, pp. 610– 612, 2014.
R. Song, and Y. Fang, “Vehicle state estimation for INS/GPS
aided by sensors fusion and SCKF-based algorithm,” Mechanical
Systems and Signal Processing, vol. 150, pp. 107315, 2021.
Sadaf Tafazoli, Mohammad Reza Mosavi, “Performance
Improvement of GPS GDOP Approximation Using Recurrent
Wavelet Neural Network”, Journal of Geographic Information
System, 2011, 3, 318-322
Tahsin M., Reza T., Sultan S., Haider M. “Analysis of DOP
and its Preciseness in GNSS Position Estimation “Int'l Conf. on
Electrical Engineering and Information & Communication
Technology (ICEEICT) 2015
Kutlu Aykut “Design of Kalman Filter Based Attitude
Determination Algorithms for a LEO Satellite and for a Satellite
Attitude Control Test Setup”, METU, Master Thesis.
Karataş Soner, “LEO SATELLITES: Dynamic Modelling,
Sımulatıons and Some Nonlinear Attitude Control Techniques”,
METU, Master Thesis.
Efendioğlu Gamze, “Design of Kalman Filter based Attitute
Determination and Control Algorithms for a LEO Satellite”,
METU, Master Thesis.
Kök İbrahim, “Comparison and Analysis of Attitude Control
Systems of a Satellite Using Reaction Wheel Actuators” Lulea
University of Technology, METU, Master Thesis.
Groves P. “Principles of GNSS, Inertial, and Multisensor
Integrated Navigation Systems”
Karadeniz Kartal S., Leblebicioğlu M. K., Ege E., “Acousticbased
navigation and system identification of an unmanned
underwater vehicle”, Transaction Measurement and Control, 2019
Sensor Fusion Based on Mathematical Model of LEO Satellite
In this study, the mathematical model of attitude motion is obtained for low orbit sattelite (LEO) with its kinematic and dynamic equations. The mathematical model of orbit motion for LEO satellite is obtained using Kepler parameters. Sensor data are generated adding zero mean Gaussian noise to data comes from model response. These measurement data are fused using INS/GPS integration structure. Extended Kalman filter algorithm is used to sensor fusion. Compare the estimated data comes from extended Kalman filter and the actual data generated from mathematical model. It has been observed from the results that the estimated data is closest to the actual attitude data. All study is performed at the MATLAB/Simulink environment.
F. Vatalaro, G.E. Corazza, C. Ferralli, “Analysis of LEO, MEO
and GEO global mobile satellite systems in the presence of
interference and fading”, IEEE Journal on Selected areas in
Communication.
C. Saunders, “The role of small satellites in military
communications”, IET Seminar on Military Satellite
Communication, 2013.
Prol F. S., Ferre R. M., Saleem Z., “Position, Navigation, and
Timing (PNT) Through Low Earth Orbit (LEO) Satellites, IEEE
Access, 2022.
Neinovare M., Khalife J. and Kassas Z. M., “Exploting
starlink Signals for Navigation: First Results”, GNSS
Conferences, 20-24 September, 2021.
B. Gao, G. Hu, Y. Zhong, and X. Zhu, “Cubature Kalman
Filter with Both Adaptability and Robustness for Tightly-coupled
GNSS/INS Integration,” IEEE Sensors Journal, 2021.
Tan N. D., Vinh T. Q., Tuyen B. T., “A new approach for Small
Satellite Gyroscope and Star Tracker Fusion”, Indian Journal of
Science and Technologgy, Vol 9(17), 2016
Ilyas M., Lim J., Lee J. G., Park C. G., “Federated unscented
Kalman filter design for multiple satellites formation flying in
LEO”, IEEE 2008 International conference on control automation
and systems
I. Lee, H. Li, N. Hoang, and J. Lee, “Navigation system
development of the underwater vehicles using the GPS/INS
sensor fusion,” 14th International Conference on Control,
Automation and Systems, pp. 610– 612, 2014.
R. Song, and Y. Fang, “Vehicle state estimation for INS/GPS
aided by sensors fusion and SCKF-based algorithm,” Mechanical
Systems and Signal Processing, vol. 150, pp. 107315, 2021.
Sadaf Tafazoli, Mohammad Reza Mosavi, “Performance
Improvement of GPS GDOP Approximation Using Recurrent
Wavelet Neural Network”, Journal of Geographic Information
System, 2011, 3, 318-322
Tahsin M., Reza T., Sultan S., Haider M. “Analysis of DOP
and its Preciseness in GNSS Position Estimation “Int'l Conf. on
Electrical Engineering and Information & Communication
Technology (ICEEICT) 2015
Kutlu Aykut “Design of Kalman Filter Based Attitude
Determination Algorithms for a LEO Satellite and for a Satellite
Attitude Control Test Setup”, METU, Master Thesis.
Karataş Soner, “LEO SATELLITES: Dynamic Modelling,
Sımulatıons and Some Nonlinear Attitude Control Techniques”,
METU, Master Thesis.
Efendioğlu Gamze, “Design of Kalman Filter based Attitute
Determination and Control Algorithms for a LEO Satellite”,
METU, Master Thesis.
Kök İbrahim, “Comparison and Analysis of Attitude Control
Systems of a Satellite Using Reaction Wheel Actuators” Lulea
University of Technology, METU, Master Thesis.
Groves P. “Principles of GNSS, Inertial, and Multisensor
Integrated Navigation Systems”
Karadeniz Kartal S., Leblebicioğlu M. K., Ege E., “Acousticbased
navigation and system identification of an unmanned
underwater vehicle”, Transaction Measurement and Control, 2019
Kartal, S., & Dar, T. (2022). Sensor Fusion Based on Mathematical Model of LEO Satellite. Avrupa Bilim Ve Teknoloji Dergisi(44), 59-64. https://doi.org/10.31590/ejosat.1216679