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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 494060, 11 pages
http://dx.doi.org/10.1155/2014/494060
Research Article

Finite-Horizon Robust Kalman Filter for Uncertain Attitude Estimation System with Star Sensor Measurement Delays

1College of Automation, Harbin Engineering University, Harbin 150001, China
2Dongguan Techtotop Microelectronics Co., Ltd., Chengdu R & D Branch, Chengdu 610041, China

Received 10 October 2013; Accepted 6 January 2014; Published 23 February 2014

Academic Editor: Xiaojie Su

Copyright © 2014 Hua-Ming Qian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. E. J. Lefferts, F. L. Markley, and M. D. Shuster, “Kalman filtering for spacecraft attitude estimation,” Journal of Guidance, Control, and Dynamics, vol. 5, no. 5, pp. 417–429, 1982. View at Scopus
  2. F. L. Markley, “Attitude error representations for Kalman filtering,” Journal of Guidance, Control, and Dynamics, vol. 26, no. 2, pp. 311–317, 2003. View at Scopus
  3. J. L. Crassidis, F. L. Markley, and Y. Cheng, “Survey of nonlinear attitude estimation methods,” Journal of Guidance, Control, and Dynamics, vol. 30, no. 1, pp. 12–28, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. M. D. Shuster, D. S. Pitone, and G. J. Bierman, “Batch estimation of spacecraft sensor alignments—relative alignment estimation,” Journal of the Astronautical Sciences, vol. 39, no. 4, pp. 519–546, 1991. View at Scopus
  5. M. Pittelkau, “Kalman filtering for spacecraft system alignment calibration,” Journal of Guidance, Control, and Dynamics, vol. 24, no. 6, pp. 1187–1195, 2001. View at Scopus
  6. M. Pittelkau, “Survey of calibration algorithms for spacecraft attitude sensors and gyros,” Advances in the Astronautical Sciences, vol. 129, paper no. AAS 07-295, pp. 651–706, 2008.
  7. K. L. Lai and J. L. Crassidis, “In-space spacecraft alignment calibration using the unscented filter,” in Proceedings of the AIAA Guidance, Navigation, and Control Conference and Exhibit, pp. 1–11, 2003.
  8. J. Vandersteen, M. Diehl, C. Aerts, and J. Swevers, “Spacecraft attitude estimation and sensor calibration using moving horizon estimation,” Journal of Guidance, Control, and Dynamics, vol. 36, no. 3, pp. 734–742, 2013. View at Publisher · View at Google Scholar
  9. A. Hmamed, C. E. Kasri, E. H. Tissir, T. Alvarez, and F. Tadeo, “Robust H filtering for uncertain 2-D continuous systems with delays,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 5, pp. 2167–2183, 2013.
  10. C. K. Ahn and P. S. Kim, “New energy-to-peak FIR filter design for systems with disturbance: a convex optimization approach,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 5, pp. 1987–1993, 2013.
  11. L. G. Wu and D. W. C. Ho, “Fuzzy filter design for Itô stochastic systems with application to sensor fault detection,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 1, pp. 233–242, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. J. Hu, Z. D. Wang, H. J. Gao, and L. K. Stergioulas, “Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements,” Automatica, vol. 48, no. 9, pp. 2007–2015, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. J. Hu, Z. D. Wang, B. Shen, and H. J. Gao, “Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements,” International Journal of Control, vol. 86, no. 4, pp. 650–663, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  14. J. Q. Wang, Z. M. He, H. Y. Zhou, and Y. Y. Jiao, “Regularized robust filter for attitude determination system with relative installation error of star trackers,” Acta Astronautica, vol. 87, pp. 88–95, 2013. View at Publisher · View at Google Scholar
  15. Z. Dong and Z. You, “Finite-horizon robust Kalman filtering for uncertain discrete time-varying systems with uncertain-covariance white noises,” IEEE Signal Processing Letters, vol. 13, no. 8, pp. 493–496, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. R. F. Souto and J. Y. Ishihara, “Comments on ‘finite: horizon robust Kalman filtering for uncertain discrete time: varying systems with uncertain: covariance white noises’,” IEEE Signal Processing Letters, vol. 17, no. 2, pp. 213–216, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. X. Su, L. Wu, and P. Shi, “Sensor networks with random link failures: distributed filtering for T-S fuzzy systems,” IEEE Transactions on Industrial Informatics, vol. 9, no. 3, pp. 1739–1750, 2013. View at Publisher · View at Google Scholar
  18. X. Su, P. Shi, L. Wu, and S. K. Nguang, “Induced l2 filtering of fuzzy stochastic systems with time-varying delays,” IEEE Transactions on Cybernetics, vol. 43, no. 4, pp. 1251–1264, 2013. View at Publisher · View at Google Scholar
  19. R. Yang, P. Shi, and G. Liu, “Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts,” IEEE Transactions on Automatic Control, vol. 56, no. 11, pp. 2655–2660, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. R. Caballero-Aguila, A. Hermoso-Carazo, J. D. Jimenez-Lopez, J. Linares-Perez, and S. Nakamori, “Recursive estimation of discrete-time signals from nonlinear randomly delayed observations,” Computers & Mathematics with Applications, vol. 58, no. 6, pp. 1160–1168, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  21. R. Caballero-Aguilaa, A. Hermoso-Carazo, J. D. Jimenez-Lopez, J. Linares-Perez, and S. Nakamori, “Signal estimation with multiple delayed sensors using covariance information,” Digital Signal Processing, vol. 20, no. 2, pp. 528–540, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. H. H. Dam, “Variable fractional delay filter with sub-expression coefficients,” International Journal of Innovative Computing, Information and Control, vol. 9, no. 7, pp. 2995–3003, 2013.
  23. F. O. Hounkpevi and E. Yaz, “Minimum variance generalized state estimators for multiple sensors with different delay rates,” Signal Processing, vol. 87, no. 4, pp. 602–613, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. X. X. Wang, Y. Liang, Q. Pan, and C. H. Zhao, “Gaussian filter for nonlinear systems with one-step randomly delayed measurements,” Automatica, vol. 49, no. 4, pp. 976–986, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  25. J. Hu, Z. D. Wang, B. Shen, and H. J. Gao, “Gain-constrained recursive filtering with stochastic nonlinearities and probabilistic sensor delays,” IEEE Transactions on Signal Processing, vol. 61, no. 5, pp. 1230–1238, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  26. L. Xie, Y. C. Soh, and C. E. de Souza, “Robust Kalman filtering for uncertain discrete-time systems,” IEEE Transactions on Automatic Control, vol. 39, no. 6, pp. 1310–1314, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  27. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, New York, NY, USA, 1991. View at Publisher · View at Google Scholar · View at MathSciNet
  28. X. M. Yao and L. Guo, “Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer,” Automatica, vol. 49, no. 8, pp. 2538–2545, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  29. X. M. Yao, Z. Dong, and D. F. Wang, “Full-order disturbance-observer-based control for singular hybrid system,” Mathematical Problems in Engineering, Article ID 352198, 7 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  30. X. J. Tang, Z. B. Liu, and J. S. Zhang, “Square-root quaternion cubature Kalman filtering for spacecraft attitude estimation,” Acta Astronautica, vol. 76, pp. 84–94, 2012. View at Publisher · View at Google Scholar
  31. I. Arasaratnam, S. Haykin, and T. R. Hurd, “Cubature Kalman filtering for continuous-discrete systems: theory and simulations,” IEEE Transactions on Signal Processing, vol. 58, no. 10, pp. 4977–4993, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus