Framework to operate multiple ship defense missiles under uncertain evasive maneuvers of target

Abstract

This paper proposes a two-phase framework to operate multiple ship defense missiles against the threat of an anti-ship missile. During the preparation phase, single-shot kill probability models associated with various evasive maneuvers of the anti-ship missile are developed and used to assess the overall kill probability obtained by combined operation of multiple defense missiles. An optimization problem to maximize the total kill probability of an engagement by determining the firing times of defense missiles is mathematically formulated and solved for various target maneuvers and operational conditions, whose results are stored to generate a firing logic table. During the actual battle (engagement phase), the firing logic table is used to operate multiple defense missiles against the threat with maximum probability of interception. A ship defense case study considering important target maneuvers was conducted to demonstrate the effectiveness of the proposed operational framework.

Keywords

Operation of multiple missiles optimal operational strategy evasive maneuvers single-shot kill probability total kill probability optimization framework firing logic table

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References

Kim

Ryoo

Tahk

. Guidance synthesis for evasive maneuver of anti-ship missiles against close-in weapon systems. IEEE Trans Aerosp Electron Syst 2010; 46: 1376–1388.

Lee J, Ryoo C and Choi K. A guidance law with sinusoidal evasive maneuver for enhancing survivability of anti-ship missiles. In: 17th IFAC symposium on automatic control in aerospace, IFAC, Toulouse, France, 2007.

Lee

Jeon

Tahk

. Guidance law to control impact time and angle. IEEE Trans Aerosp Electron Syst 2007; 43: 301–307.

Jeon

Lee

Tahk

. Homing guidance law for cooperative attack of multiple missiles. J Guid Contr Dynam 2010; 33: 275–280.

Robb M, White B, Tsourdos A, et al. Reachability guidance: a novel concept to improve mid-course guidance. In: Proceedings of the 2005 American Control Conference, vol. 1, Portland, OR, 2005, pp.339–345. New York: IEEE.

Robb

White

Tsourdos

. Earliest Intercept Line Guidance: a novel concept for improving mid-course guidance in area air defence. In: AIAA guidance, navigation, and control conference and exhibit, San Francisco, CA, 2005.

Imado

Kuroda

Tahk

. A new missile guidance algorithm against a maneuvering target. In: AIAA conference on guidance, control and navigation, Boston, MA, 1998.

Shin

Tsourdos

Le Menec

et al.

Cooperative mid-course guidance for area air defence. In: AIAA guidance, navigation, and control conference, Toronto, ON, 2010.

Nguyen

Smith

Nguyen

. An engagement model to optimize defense against a multiple attack assuming perfect kill assessment. Naval Research Logistics 1997; 44: 687–697.

10.

Ahuja

Kumar

Jha

et al.

Exact and Heuristic algorithms for the weapon target assignment problem. Oper Res 2007; 55: 1136–1146.

11.

Karasakal

. Air defense missile-target allocation models for a Naval Task Group. Comput Oper Res 2008; 35: 1759–1770.

12.

Pryluk R and Shima T. Guidance-based missile allocation algorithm against a Salvo attack. In: 52nd IEEE conference on decision and control, Florence, Italy, 2013.

13.

Zarchan P. Tactical and strategic missile guidance. 6th ed. Reston: AIAA, 2012, pp.13–34.

14.

Shaferman V and Oshman Y. Cooperative interception in a multi-missile engagement. In: AIAA guidance, navigation, and control conference, Chicago, IL, 2009.

15.

Dou

Dong

. Target allocation study for formation ship-to-air missile system based on the missile fire zone division. J Autom Contr Eng 2015; 3: 241–245.

16.

Mcnolty

. Kill probability when the lethal effect is variable. Oper Res 1964; 13: 478–482.

17.

Bhashyan

Singh

. Stochastic duels with varying single shot kill probabilities. Oper Res 1967; 15: 233–244.

18.

Constant

. Fundamentals of strategic weapons offense and defense systems, 1st ed. Hingham: Kluwer Boston Inc., 1981, pp. 31–38.

19.

Washburn

Kress

. Combat modeling, New York: Springer, 2009, pp. 15–22.

20.

Washburn

. Diffuse Gaussian multiple-shot patterns. Mil Oper Res 2003; 8: 59–64.

21.

Dutta

. Probabilistic analysis of anti-ship missile defence effectiveness. Def Sci J 2014; 64: 123–129.

22.

Lei H and Hu Z. A calculation method of kill probability for air-to-air missile. In: Proceeding of the 2012 fifth international symposium on computational intelligence and design, vol. 1, Hangzhou, China, 28–29 October 2012, pp.250–253. New York: IEEE.

23.

Yang

Bifeng

Zhanke

. On improving determination of probability of blast kill of aircraft. J Northwest Polytechnical Univ 2003; 21: 703–706. (in Chinese).

24.

Hayter A. Probability and statistics for engineers and scientists. 3rd ed. Belmont: Thomson, 2007, pp.70–77.