Application of Pontryagin’s Minimum Principle in Optimum Time of Missile Manoeuvring

Sari Cahyaningtias, Subchan Subchan

Abstract


Missile is a guided weapon and designed to protect outermost island from a thread of other country. It, commonly, is used as self defense. This research presented surface-to-surface missile in final dive manoeuvre for fixed target. Furthermore, it was proposed manoeuvring based on unmanned aerial vehicle (UAV), autopilot system, which needs accuration and minimum both time and thrust of missile while attacking object. This paper introduced pontryagin’s Minimum Principle, which is useable to solve the problem. The numerical solution showed that trajectory of the missile is split it up in three sub-intervals; flight, climbing, and diving. The numerical simulation showed that the missile must climb in order to satisfy the final dive condition and the optimum time of a missile depend on initial condition of the altitude and the terminal velocity

Keywords


missile, optimal control, pontryagin’s minimum principle, thrust, angle of attack.

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References


S. Subchan, "Pythagorean Hodograph Path Planning for Tracking Airborne Contaminant using Sensor Swarn," in International Instrumentation and Measurement Technology Conference Victoria, Canada, 2008.

S. Subchan, "Trajectory happing of Surface-to-Surface Missile with Terminal Impact Angle Constraint," Makara Teknologi Indonesia University, pp. 65-70, 2007.

S. Subchan and R. Zbikowski, Computational Optimal Control: Tools and Practice, UK: John Wiley and Sons Ltd, 2009.

F. B. Wang and C. H. Dong, "Fast Intercept Trajectory Optimization for Multi-Stage Air Defense Missile using Hybrid Algorthm," Elsivier Procedia engineering, pp. 447-456, 2013.

e. a. Maoping, "Backstepping Design of Missile Guidance and Control Based on Adaptive Fuzzy Sliding Mode Control," Chinese Journal of Aeronautics, pp. 634-642, 2014.

G. Siouris, Missile Guidance and Control Systems, USA: Springer, 2003.

D. S. Naidu, Optimal Control Systems, USA: CRC Press LLC, 2002.

D. J. Bell and D. H. Jacobson, Singular optimal Control Problem, London: Academic Press INC, 1975.

A. E. Bryson and Y. C. Ho, Applied Optimal Control Optimization, Estimation, and Control, Washington DC: Hemisphere Publishing Corporation, 1975.

L. S. Jennings, M. E. Fisher, K. L. Teo and C. J. Goh, Miser3 Optimal Control Software, Australia: The University Of Western Australia, 2002.

S. Subchan and R. Zbikowski, "Computational Optimal Control of The Terminal Bunt Maoeuvre-Part2: Minimum Time Case," Optimal Control and Application Methods, pp. 355-379, 2007.

A. E. Bryson and Y. C. Ho, Applied Optimal Control Optimization, Estimation, and Control, Washington DC: Hemisphere Publishing Corporation, 1975.




DOI: http://dx.doi.org/10.18860/ca.v4i3.3534

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