State Estimation of Spiraling Target using Divided Difference Kalman Filter
Abstract
Divided Difference Filter (DDF) and other techniques promise to be performing better than Extended Kalman Filters (EKF), although the claim depends on particular nonlinear problem. In this paper, Divided Difference Kalman Filter (DDF) is used to capture the spiralling motion of re-entry ballistic missile by representing target acceleration through sinusoidal function in inertial frame. A nine state estimator formulation for Divided Difference Filter is presented here which includes three relative
positions, three relative velocities, spiralling frequency of missile, axial acceleration and maneuvering coefficient.
Full Text:
PDFReferences
Li, X. R., and Jilkov, V. P., “A Survey of Maneuvering Target Tracking—Part II: Ballistic Target Models.” In Proc. 2001 SPIE Conf. on Signal and Data Processing of Small Targets, vol. 4473, pages 559–581, San Diego, CA, USA, 2001 doi:10.1117/12.492753
Siouris, G. M., Chan, G., andWang, U., “Tracking an Incoming Ballistic Missile Using an Extended Kalman Interval Kalman Filter,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 33, No. 1, 1997, pp. 232–240. doi:10.1109/7.570753
Dwivedi, P. N., Bhale, P., and Bhattacharyya, A., “Quick and Accurate State Estimation of RV from RF Seeker Measurements Using EKF,” AIAA Guidance, Navigation, and Control Conference and Exhibit, Keystone, Colorado, AIAA Paper 2006–6698, Aug. 2006.
Bhale, P., Dwivedi, P. N., and Bhattacharyya, A., “Estimation of Ballistic Coefficient of Reentry Vehicle with Divided Difference Filtering Using Noisy RF Seeker Data,” IEEE Conference on ICIT, IIT Bombay, India, Paper No 005355 , Oct. 2006. doi:10.1109/ICIT.2006.372311
Chadwick, W. R., and Zarchan, P., “Interception of Spiraling Ballistic Missiles,” Proceedings of the American Control Conference, Seattle, WA, June 1995, pp. 4476–4483.
P. Zarchan,“ Tracking and intercepting spiraling ballistic missiles,” in Proc. IEEE PLANS 2000 Conf. , San Diego, CA, 2000, pp. 277 – 284. doi: 10.1109/PLANS.2000.838314
Vaddi, S. S., Menon, P. K., and Ohlmeyer, E. J., “Target State Estimation for Integrated Guidance-Control of Missiles,” AIAA Guidance, Navigation, and Control Conference and Exhibit, Hilton Head, SC, AIAA Paper 2007-6838, Aug. 2007. doi: 10.2514/6.2007-6838
Dwivedi, P. N., Tiwari, S. N., Bhattacharyaa, A., and Padhi, R., “AZEM Dynamics Based Integrated Estimation Guidance and Control of Interceptors,” AIAA Guidance, Navigation, and Control Conference, Portland, Oregon, AIAA Paper 2011–6420, Aug. 2011. doi: 10.2514/6.2011-6420
Dwivedi, P. N., Bhale, P. G., Bhattacharyaa, A., and Padhi, R., “Generalized State Estimation and Model Predictive Guidance for Spiraling and Ballistic Targets,” Journal Of Guidance, Control, And Dynamics, (to be published). doi: 10.2514/1.60075
Julier S., Uhlmann J. K. and Durrant-Whyte H. F., “A New Method for the Nonlinear Transformation of Means and Covariances in Filters and Estimators,”IEEE Transactions on Automatic Control, Vol. 45, No. 3, March, 2000.
Wan E. A. and Merwe R., “The Unscented Kalman Filtering for Nonlinear Estimation,” Proceedings of Symposium 2000 on Adaptive Systems for Signal Processing, Communication and Control (ASSPCC, IEEE), Albeta, Canada, October, 2000.
Norgaard, M., Poulsen, N., and Ravn, O., “New Devilopments in State Estimation for Nonlinear Systems” Automatica, Vol 36, No.11, pp.1627-1638, November 2000.
Mehra, R. K., “A Comparison of Several Nonlinear Filters for Reentry Vehicle Tracking,” IEEE Transactions on Automatic Control, Vol. 16, No. 4, 1971, pp. 307–319. ICIUS-2013-278
doi:10.1109/TAC.1971.1099744
Kim, J., Vaddi, S. S., Menon, P. K., and Ohlmeyer, E. J., “Comparison Between Three Spiraling Ballistic Missile State Estimators,” AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2008–7459, Honolulu, HI, 2008. doi:10.2514/6.2008-7459
Farina, A., Ristic, B., Benvenuti, D., and Arunampalam, M. S.,“Performance Bounds and Comparison of Nonlinear Filters for Tracting a Ballistic Object on Reentry,” IEEE Proceedings on Radar Sonar Navigation, Vol. 150, No. 2, 2003, pp. 65–70.
Kreyszig, E., Advanced Engineering Mathematics, 8th ed.,Wiley, New York, 1999, pp. 942–961.
DOI: http://dx.doi.org/10.21535%2FProICIUS.2013.v9.209
Refbacks
- There are currently no refbacks.