Fuzzy Model of Human’s Performance for Guarding a Territory in an Air Combat

Document Type : Research Article

Authors

Abstract

This paper proposes a new method for a three dimensional fuzzy model of pilot's performance for guarding a territory with a short-distance between two aircraft in an air combat task with a gun. A third-order nonlinear point mass vehicle model is considered for an aircraft's flight dynamics. The desired value of the velocity, the flight path and the heading angles are obtained from some derived equations and rule bases developed in this paper. The physical control parameters are computed through a mean square error scheme. To model pilot's performance and generate a complicated offensive maneuver in an air combat, we need to imitate pilot's decisions making performance. The proposed model shows promising performance in all scenarios in which two aircraft can hold in an air combat. This model employs a time optimal combination of classic pursuits when needed. This makes our model very powerful. We consider two cases for modeling, the first one is the model of the pilots with constant specific energy and the other is with time varying specific energy. Finally, this paper proposes a new 3-Dimentional flight simulator.

Keywords


[1]     Hammer J.M., Small R.L., An intelligent interface in an associate system, In Rouse W B (ed. ) Human / technology interactions in complex systems, vol.7, pp. 871-882, 1996.
[2]     Rodin E.Y., Geist D., Lirov Y., Flight and fire control knowledge representation, proceeding 28th IEEE CDC, 1989, pp.779-780.
[3]     Lin C.L. and Chen Y.Y., Design of fuzzy logic guidance law against high speed target, Journal of guidance, control and dynamics, No.1, Vol.23, pp.17-25, 2000.
[4]     Akbari S., Menhaj M.B., A fuzzy guidance law for modeling offensive air-to-air combat maneuvers, IEEE conf, IFSA World congress and 20th NAFIPS international conference, pp.3027-3031, 2001.
[5]      Akbari S., Qualitative model of pilot performance in air to air combat task: fuzzy set theory approach., Phd dissertation, Electrical Department, AUT, Iran, 2002.
[6]     Virtanen K., Raivio T., Hamalainen R.P., Modeling pilot's sequential maneuvering decisions by multistage influence diagram, Proceeding of AIAA guidance, control and dynamics conference,  pp. 175-181, 2001.
[7]      Menon P.K. and Duck E.L., Time optimal pursuit evasion with weapon envelope constraint, journal of guidance, control and dynamics, vol. 15, No.2, 1992, pp.448-456.
[8]      Jamark B., A missile duels between two aircraft, journal of guidance, control and dynamics, vol.8, No.4, 1985, pp.508-513.
[9]      Guelman M. and Shinar J., Optimal guidance law in the plane, Journal of Guidance, Control and Dynamics, vol.8, No.4, 1985, pp.471-476.
[10]   K. H. Hisa and J. G. Hsieh, “A first approach to fuzzy differential game problem: guarding a territory,” fuzzy sets and system, vol. 55, 1993, pp. 157-167.
[11]   H. J. Chu, J. G. Hsieh, K. H. and L. W. Chen, “Fuzzy differential game of guarding a movable territory,” Information Sciences, vol. 91, pp. 113-131, 1996.
[12]   Ghasemi R, Nikravesh SKY, Menhaj MB, Akbari S, “A near optimal fuzzy model of pursuit-evasion in an air combat”, WSEAS TRANSACTIONS ON MATHEMATICS, Issue 3, Volume 3, 2004, pp 514-521.
[13]   Ghasemi R, Nikravesh SKY, Menhaj MB, Akbari S,” A 3-D fuzzy model of pilot’s performance in the dogfight”, WSEAS TRANSACTIONS ON MATHEMATICS, Issue 3, Volume 3, 2004, pp 625-631.
[14]   Anderson J.D., Introduction to flight,  McGrow Hill, 3rd edition, 1989.
[15]   Shaw R.L., Fighter combat: Tactics and Maneuvering, 1st edition, United States Naval Inst., 1988.
[16]  Rappier, ACM, training: Angle Tactics, http://www.musketeers.org.
[17]   Crenshaw D., How to live and die in the virtual sky, http://www.sci.fi/~fta/acmintro.htm.
[18]   Tran C., Abraham A. and Jain L.,” A Concurrent Fuzzy-Neural Network Approach for Decision Support Systems”, IEEE International Conference on Fuzzy Systems, pp. 1092-1097, 2003
[19]   Wang T.C., Chang T.H., “Application of TOPSIS In Evaluating Initial Training Aircraft Under A Fuzzy Environment”, Expert Systems with Applications 33, pp. 870–880, 2007
[20]   Wang J., Fan K., Su Y., Liang S., and Wang W., “Air Combat Effectiveness Assessment of Military Aircraft Using a Fuzzy AHP and TOPSIS Methodology”, IEEE 7th intl. conf. on system simulation and scientific computing, pp. 655-662, 2008.
 Zhang K., Zhou D.,  “Application of Improved FCM on Classification of Multi-Target Guided by AWACS”, IEEE computer Society, Fifth International Conference on Fuzzy