Abstract
As the satellite size gets smaller, the residual magnetic moment (RMM) becomes the dominant attitude disturbance for the low Earth orbit satellites. Especially for advanced space missions such as astronomical observation, the RMM must be in-orbit estimated and compensated to increase the attitude pointing accuracy. Classical estimators can estimate the RMM terms accurately as long as the terms are constant. However, if there is unmodeled changes in the RMM parameters, as experienced for small satellite missions, then the estimations may deteriorate for a long time until the estimator catch the new values. In such cases the designer must sacrifice either the accuracy or the tracking capability of the estimator. In this paper, we propose a Multiple-Model Adaptive Estimation (MMAE) technique for the RMM estimation. By the use of a newly defined likelihood function both the steady state accuracy and tracking agility are secured for the estimator.
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References
Sakai, S., Fukushima, Y., Saito, H.: Design and on-orbit evaluation of magnetic attitude control system for the “REIMEI” microsatellite. In: Proc. 10th IEEE International Workshop on Advanced Motion Control, Trento, Italy (2008), doi:10.1109/AMC.2008.4516132
Inamori, T., Nakasuka, S., Sako, N.: In-orbit magnetic disturbance estimation and compensation using UKF in nano-satellite mission. In: Proc. AIAA Guidance, Navigation, and Control Conference, Chicago, USA (2009), doi:10.2514/6.2009-5905
Hosonuma, T., Inamori, T., Nakasuka, S.: A precise attitude determination and control strategy for small astrometry satellite “Nano-Jasmine”. In: Proc. 26th AIAA/USU Conference on Small Satellites, Logan, USA (2012)
Burton, R., Rock, S., Springman, J., Cutler, J.: Dual attitude and parameter estimation of passively magnetically stabilized nano satellites. Acta Astronautica 94, 145–158 (2014), doi:10.1016/j.actaastro.2013.08.017
Steyn, W.H., Hashida, Y.: In-orbit attitude performance of the 3-axis stabilised SNAP-1 nanosatellite. In: Proc. 15th AIAA/USU Conference on Small Satellites, Logan, USA (2001)
Karasolo, M., Hu, X.: An optimization approach to adaptive Kalman filtering. Automatica 47, 1785–1793 (2011), doi:10.1016/j.automatica.2011.04.004
Gustafsson, F.: Adaptive filtering and change detection. Wiley, New York (2001)
Basseville, M.: Nikiforov IV Detection of abrupt changes: Theory and application. Prentice Hall, New Jersey (1993)
Bisht, S.S., Singh, M.P.: An adaptive unscented Kalman filter for tracking sudden stiffness changes. Mechanical Systems and Signal Processing 49, 181–195 (2014), doi:10.1016/j.ymssp.2014.04.009
Bavdekar, V.A., Prakash, J., Shah, S.L., Gopaluni, R.B.: Constrained dual ensemble Kalman filter for state and parameter estimation. In: Proc. American Control Conference, Washington DC, USA (2013), doi:10.1109/ACC.2013.6580306
Sun, Z., Yang, Z.: Joint parametric fault diagnosis and state estimation using KF-ML method. In: Proc. 19th IFAC World Congress, Cape Town, South Africa (2014)
Sun, Z.: Nonlinear system identification and its applications in fault detection and diagnosis, PhD. Thesis. Aalborg University, Aalborg, Denmark (2013)
Hartikainen, E., Ekelin, S.: Enhanced network-state estimation using change detection. In: Proc. 31st IEEE Conference on Local Computer Networks, Florida, USA (2006), doi:10.1109/LCN.2006.322178
Soken, H.E., Sakai, S.: In-orbit estimation of time-varying residual magnetic moment for small satellite applications. In: Proc. AIAA Guidance, Navigation and Control Conference, Boston, USA (2013)
Soken, H.E., Sakai, S., Wisniewski, R.: In-orbit estimation of time-varying residual magnetic moment. IEEE Transactions on Aerospace and Electronic Systems 50(4), 3126–3136 (2014), doi:10.1109/TAES.2014.130225
Soken, H.E., Sakai, S.: Investigation of estimation methods for time-varying residual magnetic moment. In: Proc. 6th Asia-Pacific International Symposium on Aerospace Technology, Shanghai, China (2014)
Maybeck, P.S.: Stochastic models, estimation, and control, vol. 2. Academic Press, New York (1982)
Simon, D.: Optimal state estimation. Wiley-Interscience, New Jersey (2006)
Wertz, J.R.: Spacecraft attitude determination and control. Kluwer Academic Publishers, Dordrecht (1988)
Soken, H.E.: UKF adaptation and filter integration for attitude determination and control of nanosatellites with magnetic sensors and actuators, PhD. Thesis. The Graduate University for Advanced Studies (Sokendai), Sagamihara, Japan (2013)
Springmann, J.C., Cutler, J.W.: Attitude-independent magnetometer calibration with time-varying bias. Journal of Guidance, Control, and Dynamics 35(4), 1080–1088 (2012), doi:10.2514/1.56726
Crassidis, J.L., Markley, F.L.: Unscented filtering for spacecraft attitude estimation. Journal of Guidance, Control and Dynamics 26(4), 536–542 (2003), doi:10.2514/2.5102
Daum, F.: Nonlinear filters: Beyond the Kalman filter. IEEE Aerospace and Electronic Systems Magazine 20(8), 57–69 (2005), doi:10.1109/MAES.2005.1499276
Ducard, G.J.J.: Fault-tolerant flight control and guidance systems. Springer, New York (2009)
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Soken, H.E., Sakai, Si. (2015). Multiple-Model Adaptive Estimation of Time-Varying Residual Magnetic Moment for Small Satellites. In: Bordeneuve-Guibé, J., Drouin, A., Roos, C. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Cham. https://doi.org/10.1007/978-3-319-17518-8_18
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DOI: https://doi.org/10.1007/978-3-319-17518-8_18
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17517-1
Online ISBN: 978-3-319-17518-8
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