Model predictive static programming: A computationally efficient technique for suboptimal control design

International Journal of Innovative Computing, Information and Control

Volumn 5, Issue 2, 2009, Pages 399-411

  Padhi, Radhakant ^a   Kothari, Mangal ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Approximate dynamic programming; Ballistic missile guidance; Model predictive control; Model predictive static programming

Indexed keywords

EID: 64349108343     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. A. E. Bryson and Y. C. Ho, Applied Optimal Control, Hemisphere Publishing Corporation, pp. 1-89, 148-176, 1975.
2. D. E. Kirk, Optimal Control Theory: An Introduction, Prentice Hall, pp.329-413, 1970.
3. C. P. Curtis and J. R. Cloutier, Control designs for the nonlinear benchmark problem via the state-dependent riccati equation method, International Journal of Robust and Nonlinear Control, vol.8, Issue 4-5, pp.401-433, 1998.
4. M. Xin and S. N. Balakrishnan, A new method for suboptimal control of a class of nonlinear systems, Optimal Control Applications and Methods, vol.26, pp.55-83, 2005.
5. R. Padhi, M. Xin and S. N. Balakrishnan, Suboptimal control of a one-dimensional nonlinear heat equation using pod and θ D techniques, Optimal Control Applications and Methods.
6. J. T. Betts, Practical methods for optimal control using nonlinear programming, The Society for Industrial and Applied Mathematics, Philadelphia, pp.61-132, 2001.
7. S. M. Roberts and J. S. Shipman, Two Point Boundary Value Problems: Shooting Methods, American Elsevier Publishing Company Inc., 1972.
8. R. Padhi, An optimal explicit guidance scheme for ballistic missile with solid motors, Proc. of the AIAA Guidance, Navigation, and Control Conference, vol.2, pp.1006-1016, AIAA, Portland, 1999.
9. P. J. Werbos, Approximate dynamic programming for real-time control and neural modeling, in Handbook of Intelligent Control, D. A. White and D. A. Sofge (eds.), Multi-Science Press, pp.493-526, 1992.
10. D. Han and S. N. Balakrishnan, Adaptive critic based neural network for agile missile control, Journal of Guidance, Control and Dynamics, vol.25, no.2, pp.404-407, 2002.
11. D. V. Prokhorov, and D. C. Wunsch, Adaptive critic design, Proc. of the IEEE Transactions of Neural Networks, vol.8, no.5, pp.997-1007, 1997.
12. R. Padhi, P. Prabhat and S. N. Balakrishnan, Reduced order optimal control synthesis of a class of nonlinear distributed parameter systems using single network adaptive critic design, International Journal of Innovative Computing, Information and Control, vol.4, no.2, pp.453-469, 2008.
13. J. A. Rossiter, Model Based Predictive Control: A Practical Approach, CRC, New York, pp. 1-84, 2003.
14. H. Yang and S. Li, Subspace-based adaptive predictive control for a class of nonlinear systems, International Journal of Innovative Computing, Information and Control, vol.1, no.4, pp.743-753, 2005.
15. S. R. Vadali and R. Sharma, Optimal finite-time feedback controllers for nonlinear systems with terminal constraints, Journal of Guidance, Control and Dynamics, vol.29, no.4, pp.921-928, 2006.
16. A. L. Greensite, Analysis and Design of Space Vehicle Flight Control System, Spartan Book, NY, pp.260-372, 1970.
17. R. H. Battin, Guidance evolution - a personal narrative, Journal of Guidance, Control and Dynamics, vol.5, no.2, pp.97-110, 1982.
18. P. Zarchan, Tactical and strategic missile guidance, Progress in Astronautics and Aeronautics, AIAA Tactical Missile Series, vol.176, Fourth Edition, pp.221-316, 1999.
19. D. S. Naidu, Singular perturbations and time scales in guidance and control of aerospace systems: A survey, Journal of Guidance, Control and Dynamics, vol.24, no.6, pp.1057-1078, 2001.
20. A. E. Bryson, Application of optimal control theory in aerospace engineering, Journal of Spacecraft and Rockets, vol.4, no.5, pp.545-553, 1967.
21. K. E. Atkinson, An Introduction to Numerical Analysis, John Wiley & Sons, pp.56-58, 418-433, 2001.
22. R. L. McHenry, A. D. Long, B. F. Cockrell, J. R. III. Thibodeau and T. J. Brand, Space shuttle ascent guidance, navigation, and control, Journal of the Astronautical Sciences, vol.27, pp.1-38, 1979.
23. A. D. Wheelon, Free flight of a ballistic missile, ARS Journal, pp.915-926, 1959.
24. W. T. Thompson, Introduction to Space Dynamics, Dover Publications Inc., pp.240-260, 1986.