Robust Inertial-Astronomic Attitude Determination Algorithm with Adaptive Star Geometrical Error Model for HCVs
Publication: Journal of Aerospace Engineering
Volume 29, Issue 2
Abstract
Inertial/astronomic integration is an effective way to improve the accuracy of attitude determination of hypersonic cruise vehicles (HCVs). Compared with common low-dynamic aircraft, the environmental affection during hypersonic flight leads to the non-Gaussian noise character of astronomic observation. Meanwhile, rapid star geometry changing during HCVs’ rapid movement causes redistribution of errors in astronomic measurements and significant variation of its main Gaussian characteristic. A kind of robust inertial/astronomic attitude determination algorithm with adaptive star geometrical error model is proposed. The adaptive star geometrical error distribution model is established for obtaining the main Gaussian model of astronomic measurement misalignment errors in flight. After that, inertial/astronomic integration model–based on misalignment errors is proposed, which avoids Euler angle transformation. On these bases, the improved robust filter algorithm is designed, which utilizes real-time astronomic error distribution as the weighting standard of Huber-based optimal estimation. Simulation results indicate that by taking the changing of main Gaussian distribution into consideration, the accuracy of inertial/astronomic integration is improved approximately 30% more than traditional algorithms adopting constant main Gaussian model in non-Gaussian HCV navigation environments.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was partially supported by the National Natural Science Foundation of China (grant numbers 61374115, 61328301, 61203188, 91016019, 60904091, and 61210306075), the Funding for Outstanding Doctoral Dissertation in NUAA (grant number BCXJ10-05), the Priority Academic Program Development of Jiangsu Higher Education Institutions, the Fundamental Research Funds for the Central Universities, the Nanjing University of Aeronautics and Astronautics Special Research Funding, the peak of six personnel in Jiangsu Province (grant number 2013-JY-013), and the China Scholarship Council. The author would like to thank the anonymous reviewers for helpful comments and valuable remarks.
References
Ali, J. (2009). “Astronavigation system as an autonomous enhancement suite for a strapdown inertial navigation system: An evaluation.” Meas. Sci. Rev., 9(2), 42–48.
Armando, R., et al. (2008). “Modeling and control of scramjet-powered hypersonic vehicles: Challenges, trends, and tradeoffs.” AIAA Guidance, Navigation and Control Conf. and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Boldyrev, S. M., et al. (2001). “A thorough experimental investigation of shock/shock interferences in high Mach number flows.” Aerosp. Sci. Technol., 5(3), 167–178.
Catherine, B., Ethan, B., John, M., David, B., Roger, B., and Brian, S. (2005). “The X-43 A hyper-X Mach 7 flight 2 guidance, navigation, and control overview and flight test results.” AIAA/CIRA 13th Int. Space Planes and Hypersonics Systems and Technologies Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Chen, F., Wang, Z., Tao, G., and Jiang, B. (2015). “Robust adaptive fault-tolerant control for hypersonic flight vehicles with multiple faults.” J. Aerosp. Eng., 28(4), 04014111.
Cunliffe, T. (2010). Celestial navigation, Wiley, Chichester, West Sussex, U.K.
Durovic, Z. M., and Kovacevic, B. D. (1999). “Robust estimation with unknown noise statistics.” IEEE Trans. Autom. Control., 44(6), 1292–1296.
El-Hawary, F., and Yuyang, J. (1995). “Robust regression-based EKF for tracking underwater targets.” IEEE J. Ocean. Eng., 20(1), 31–41.
Ethan, B., Catherine, B., Brian, S., Roger, B., and Michael, R. (2008). “The X-43 a six degree of freedom Monte Carlo ANALYSIS.” 46th AIAA Aerospace Sciences Meeting and Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Gandhi, M. A., and Mili, L. (2010). “Robust Kalman filter based on a generalized maximum-likelihood-type estimator.” IEEE Trans. Sig. Process., 58(5), 2509–2520.
Han, W., Zhao, Y., and Hu, X. (2009). “Study on aero-optical effect of a hypersonic missile infrared image guide.” Int. Conf. on Optical Instrumentation and Technology, International Society for Optics and Photonics, Bellingham, WA.
Karlgaard, C. D., and Schaub, H. (2011). “Adaptive nonlinear huber-based navigation for rendezvous in elliptical orbit.” J. Guidance Control Dyn., 34(2), 388–402.
Karlgaard, C. D., Tartabini, P. V., Blanchard, R. C., Kirsch, M., and Toniolo, M. D. (2006). “Hyper-X post-flight trajectory reconstruction.” J. Spacecraft Rockets, 43(1), 105–115.
Kolomenkin, M., Pollak, S., Shimshoni, I., and Lindenbaum, M. (2008). “Geometric voting algorithm for star trackers.” IEEE Trans. Aerosp. Electron. Syst., 44(2), 441–456.
Laurie, M., Catherine, B., Griffin, C., and Robert, S. (2005). “Overview with results and lessons learned of the X-43 A Mach 10 flight.” AIAA/CIRA 13th Int. Space Planes and Hypersonics Systems and Technologies Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Leonid, F., Anatoly, S., and Yuri, S. (2007). “Adaptive SINS/ANS/GNSS for air-launch space launcher: Algorithm design and performance analysis.” AIAA Guidance Navigation Control Conf. Exhibit, American Institute of Aeronautics and Astronautics, Reston, VA.
Liebe, C. C. (2002). “Accuracy performance of star trackers—A tutorial.” IEEE Trans. Aerosp. Electron. Syst., 38(2), 587–599.
Moses, P. L., Rausch, V. L., Nguyen, L. T., and Hill, J. R. (2004). “NASA hypersonic flight demonstrators—Overview, status, and future plans.” Acta Astronaut., 55(3–9), 619–630.
Nils, N., Malak, S., Michael, C., and Stephan, T. (2009). “Attitude determination for the SHEFEX-2 mission using a low cost star tracker.” AIAA Guidance Navigation Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Peng, H., Zhi, X., Wang, R., Liu, J.-Y., and Zhang, C. (2014). “A new dynamic calibration method for IMU deterministic errors of the INS on the hypersonic cruise vehicles.” Aerosp. Sci. Technol., 32(1), 121–130.
Perryman, M. A., et al. (1997). “The HIPPARCOS catalogue.” Astron. Astrophys., 323(1), L49–L52.
Peter, O., Donald, S., Daniel, M., David, W., and Jose, B. (2009). “The role of guidance, navigation, and control in hypersonic vehicle multidisciplinary design and optimization.” 16th AIAA/DLR/DGLR Int. Space Planes and Hypersonic Systems and Technologies Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Quang, L., Woodruff, C., Ashton, S., and Martin, D. (2002). “Noise estimation for star tracker calibration and enhanced precision attitude determination.” Proc., 5th Int. Conf. on Information Fusion, International Society of Information Fusion, Sunnyvale, CA, 235–242.
Roger, B., George Gessler, J. R., William, P., and Roman, K. (1990). “The challenges of hypersonic-vehicle guidance, navigation, and control.” Space Programs and Technologies Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Samaan, M., and Theil, S. (2012). “Development of a low cost star tracker for the SHEFEX mission.” Aerosp. Sci. Technol., 23(1), 469–478.
Shuster, M. D. (2004). “Deterministic three-axis attitude determination.” J. Astronaut. Sci., 52(3), 405–419.
Stephan, T., Stephen, S., Malak, S., Michael, C., Inge, V., and Markus, M. (2009). “Hybrid navigation system for spaceplanes, launch and re-entry vehicles.” 16th AIAA/DLR/DGLR Int. Space Planes and Hypersonic Systems and Technologies Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Stephen, S., Stephan, T., Malak, S., and Michael, C. (2012). “Flight results from the SHEFEX2 hybrid navigation system experiment.” AIAA Guidance, Navigation, and Control Conf., American Institute of Aeronautics and Astronautics, Reston, VA.
Titterton, D. H., and Weston, J. L. (2004). Strapdown inertial navigation technology, American Institute of Aeronautics and Astronautics; Institution of Electrical Engineers, Reston, VA.
Wang, X., Cui, N., and Guo, J. (2010). “Huber-based unscented filtering and its application to vision-based relative navigation.” IET Radar Sonar Navig., 4(1), 134–141.
Information & Authors
Information
Published In
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jan 15, 2015
Accepted: Jun 8, 2015
Published online: Sep 8, 2015
Discussion open until: Feb 8, 2016
Published in print: Mar 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.