» Download Article
Energy-Insensitive Guidance of Solid Motor Propelled Long Range Flight Vehicles Using MPSP and Dynam
World Congress, Volume # 17 | Part# 1
Authors
Kothari, Mangal; Padhi, Radhakant
Digital Object Identifier (DOI)
10.3182/20080706-5-KR-1001.02374
Page Numbers:
14023-14028
Index Terms
Guidance, navigation and control of vehicles; Automatic control, optimization, real-time operations in transportation; Mission control and operations
Abstract
A energy-insensitive explicit guidance design is proposed in this paper by appending newlydeveloped nonlinear model predictive static programming technique with dynamic inversion, which render a closed form solution of the necessary guidance command update. The closed form nature of the proposed optimal guidance scheme suppressed the computational difficulties, and facilitate realtime solution. The guidance law is successfully verified in a solid motor propelled long range flight vehicle, for which developing an effective guidance law is more difficult as compared to a liquid engine propelled vehicle, mainly because of the absence of thrust cutoff facility. The scheme guides the vehicle appropriately so that it completes the mission within a tight error bound assuming that the starting point of the second stage to be a deterministic point beyond the atmosphere. The simulation results demonstrate its ability to intercept the target, even with an uncertainty of greater than 10% in the burnout time.
References
Battin, R. H. (1982). Guidance Evolution A Personal Narrative. Journal of Guidance, Control and Dynamics. Vol. 5. pp. 97110. Zarchan, P (1997). Tactical and Strategic Missile Guidance. Proceeding in Astronautics and Aeronautics, AIAA Tactical Missile Series. Vol. 176. pp. 97110. Padhi, R. (1999). An Optimal Explicit Guidance Scheme for Ballistic Missile with Solid Motors. Proceedings of AIAA Guidance, Navigation, and Control Conference. AIAA 4140. Bryson, A. E. and Y. C. Ho (1975). Applied Optimal Control. Hemisphere Publishing Corporation. Padhi, R., M. Kothari and A. Kamath. Model Predictive Static Programming: A Promising Real-time Technique for Optimal Control Design. Technical Report: IISc/AE/LINCGODS/RP/2006/01 . Greensite, A. L. (1970) Analysis and Design of Space Vehicle Flight Control System. Spartan Bok. Enns, D., D. Hendrick, R. Hendrick and G. Stein (1994). Dynamic Inversion: An Evolving Methodology for Flight Control Design. International Journal of Control, Vol. 59, No. 1, pp.71-91. Slotine, J. E and W. Li. Applied Nonlinear Control. Prentice Hall. Khalil, H. K. Nonlinear System. Prentice Hall Inc., New Jersey, USA. Padhi, R. and M. Kothari (2005). A Closed Form Nonlinear Explicit Guidance Scheme for Long Range Flight Vehicles. Proceedings of National System Conference, Indian Institute of Technology, Bombay. Wheelon, A. D. (1959). Free Flight of a Ballistic Missile. ARS journal. 915926.