Suboptimal midcourse guidance of interceptors for high-speed targets with alignment angle constraint

Journal of Guidance, Control, and Dynamics

Volumn 34, Issue 3, 2011, Pages 860-877

  Dwivedi, Prasiddha Nath ^a   Bhattacharya, Abhijit ^a   Padhi, Radhakant ^b  

^a DRDO   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTIC MISSILES; DEGREES OF FREEDOM (MECHANICS); ENERGY EFFICIENCY; EXPLOSIVES;

COMPUTATIONALLY EFFICIENT; HIGH SPEED BALLISTIC; HIGH SPEED TARGETS; LATERAL ACCELERATION; NON-LINEAR OPTIMAL CONTROL; SIX DEGREE-OF-FREEDOM; STATIC PROGRAMMING; TRAJECTORY OPTIMIZATION;

GUIDED MISSILES;

EID: 79955761719     PISSN: 07315090     EISSN: 15333884     Source Type: Journal    
DOI: 10.2514/1.50821     Document Type: Article

References (32)

1. Zarchan, P., Tactical and Strategic Missile Guidance, 5th ed., Vol. 219, AIAA, Reston, VA, 1997, pp. 281-289.
2. Naidu, D. S., "Singular Perturbations and Time Scales in Guidance and Control of Aerospace Systems: A Survey," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 6, 2001, pp. 1057-1078. doi:10.2514/2.4830 (Pubitemid 33120740)
3. Bryson, A. E., "Application of Optimal Control Theory in Aerospace Engineering," Journal of Spacecraft and Rockets, Vol. 4, No. 5, 1967, pp. 545-553. doi:10.2514/3.28907
4. Bryson, A. E., and Ho, Y. C., Applied Optimal Control, Hemisphere, New York, 1975, pp. 424-426.
5. Kumar, P., Dwivedi, P. N., and Bhattacharya, A., "Integrated Guidance and Control Against High Speed Targets with Desired Aspect Angle," 2006AIAAGuidance, Navigation and Control Conference and Exhibit, Keystone, CO, AIAA Paper 2006-6783, 2006.
6. Padhi, R., "An Optimal Explicit Guidance Scheme for Ballistic Missile with Solid Motors," AIAA Guidance, Navigation, and Control Conference, AIAA Paper 1999-4140, 1999.
7. Sinha, S. K., and Shrivastava, S. K., "Optimal Explicit Guidance of Multistage Launch Vehicle Along Three-Dimensional Trajectory" Journal of Guidance, Control, and Dynamics, Vol. 13, No. 3, 1990, pp. 394-403. doi:10.2514/3.25350 (Pubitemid 20721365)
8. Roberts, S. M., and Shipman, J. S., Two Point Boundary Value Problems: Shooting Methods, Elsevier, New York, 1972.
9. Kirk, D. E., "Numerical Determination of Optimal Trajectories," Optimal Control Theory: An Introduction, Prentice-Hall, Upper Saddle River, NJ, 1975, pp. 329-413.
10. Curtis, C. P., and Cloutier, J. R., "Control Designs for the Nonlinear Benchmark Problem via the State-Dependent Riccati Equation Method," International Journal of Robust and Nonlinear Control, Vol. 8, Nos 4-5, 1998, pp. 401-433. doi:10.1002/(SICI)1099-1239(19980415/30)8:4/5401::AID- RNC3613.0.CO;2-U (Pubitemid 128632042)
11. Menon, P. K., and Ohlmeyer, E. J., "Integrated Design of Agile Missile Guidance and Autopilot Systems," Control Engineering Practice, Vol. 9, No. 10, Oct. 2001, pp. 1095-1106. (Pubitemid 32926085)
12. Xin, M., and Balakrishnan, S. N., "A New Method for Suboptimal Control of a Class of Nonlinear Systems," Optimal Control Applications and Methods, Vol 26, No. 2, 2005, pp. 55-83. doi:10.1002/oca.750 (Pubitemid 40539457)
13. Padhi, R., Xin, M., and Balakrishnan, S. N., "Suboptimal control of a One-Dimentionl Nonlinear Heat Equation Using POD and θ-D Techniques," Optimal Control Applications and Methods, Vol. 29, No. 3, 2008, pp. 191-224. doi:10.1002/oca.822
14. Gong, Q., Fahroo, F., and Ross, I. M., "Spectral Algorithm for Pseudospectral Methods in Optimal Control," Journal of Guidance, Control, and Dynamics, Vol. 31, No. 3, 2008, pp. 460-471. doi:10.2514/1.32908 (Pubitemid 351774487)
15. Fahroo, F., and Ross, I. M., "Direct Trajectory Optimization via a Chebyshev Pseudospectral Method," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 160-166. doi:10.2514/2.4862 (Pubitemid 34109525)
16. Benson, D. A., Huntington, G. T., Thorvaldsen, T. P., and Rao, A. V., "Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method," Journal of Guidance, Control, and Dynamics, Vol. 29, No. 6, Nov.-Dec. 2006, pp. 1435-1440. doi:10.2514/1.20478 (Pubitemid 44916718)
17. Rossiter, J. A., Model Based Predictive Control: A Practical Approach, CRC Press, New York, 2003, pp. 1-84.
18. Yang, H., and Li, S., "Subspace-Based Adaptive Predictive Control for a Class of Nonlinear Systems," International Journal of Innovative Computing, Information and Control, Vol. 1, No. 4, 2005, pp. 743-753.
19. Soloway, D., and Haley, P. J., "Neural Generalized Predictive Control," Proceedings of the IEEE International Symposium on Intelligent Control, IEEE Publ., Piscataway, NJ, 1996, pp. 277-282.
20. Cannon, M., "Efficient Nonlinear Model Predictive Control Algorithms," Annual Reviews in Control, Vol. 28, No. 2, 2004, pp. 229-237. doi:10.1016/j.arcontrol.2004.05.001
21. Siegers, N., and Costello, M., "Model Predictive Control of a Parafoil and Payload System," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 4, 2005, pp. 816-821. doi:10.2514/1.12251 (Pubitemid 41049826)
22. Werbos, P. J., "Approximate Dynamic Programming for Real Time Control and Neural Modelling," Handbook of Intelligent Control, edited by D. A. White and D. A. Sofge, Multiscience Press, New York, 1992, pp. 493-526.
23. Padhi, R., "Model Predictive Static Programming: A Promising Technique for Optimal Missile Guidance," Annals of the Indian National Academy of Engineering, Vol. 5, April 2008, pp. 185-194.
24. Padhi, R., and Kothari, M., "Model Predictive Static Programming: A Computationally Efficient Technique for Suboptimal Control Design," International Journal of Innovative Computing, Information and Control, Vol. 5, No 2, Feb. 2009, pp. 399-411.
25. Dwivedi, P. N., Bhattacharya, A., and Padhi, R., "Computationally Efficient Suboptimal Midcourse Guidance Using Model Predictive Static Programming," Proceedings of IFAC World Congress, Seoul, ROK, July 2008.
26. Dwivedi, P. N., Padhi, R., Bhattacharya, A., and Bhattacharjee, R. N., "Suboptimal Midcourse Model Predictive Spread Acceleration Guidance," Proceedings of the International Conference and Exhibition in Aerospace Engineering, Bangalore, India, May 2009.
27. Tatiya, M., Bhatia, N., and Padhi, R., "Impact Angle Constrained Suboptimal Terminal Guidance of Interceptors for Air Defence," Proceedings of 18th IFAC Symposium on Automatic Control in Aerospace, Nara, Japan, Sept. 2010.
28. Bhattacharyaa, A., Dwivedi, P. N., Kumar, P., Bhale, P. G., and Bhattacharjee, R. N., "A Practical Approach for Robust Scheduling of Nonlinear Time-Scale Separated Autopilot," Proceedings of the International Conference on Advances in Control and Optimization of Dynamical Systems [CD-ROM], Indian Inst. of Science, Bangalore, India, Feb. 2007.
29. Ohlmeyer, E. J., and Phillips, C. A., "Generalized Vector Explicit Guidance," Journal of Guidance, Control, and Dynamics, Vol. 29, No. 2, March-April 2006, pp. 261-268. doi:10.2514/1.14956
30. Lukacs, J. A., and Yakimenko, O. A., "Trajectory-Shape-Varying Missile Guidance for Interception of Ballistic Missiles During the Boost Phase," AIAA Guidance, Navigation, and Control Conference and Exhibit, Hilton Head, SC, AIAA Paper 2007-6538, Aug. 2007.
31. Atkinson, K. E., An Introduction to Numerical Analysis, Wiley, New York, 2001.
32. Elbert, T. F., Optimal Theory: Estimation and Control System, Van Nostrand Reinhold, New York, 1984.