Mathematical model of the aircraft optimal control under conditions of counteracting to a multiposition complex information-search system using the maximum undetection probability criterion

Authors

  • A. A. Strotsev Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation
  • I. V. Shcherban' Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation
  • S. A. Funtikov Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation
  • V. A. Bertenev Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation

DOI:

https://doi.org/10.3103/S0735272707090063

Abstract

Mathematical model of the aircraft optimal control ensuring the probability maximization of its undetection by a group of measuring and search points forming part of a multiposition complex information-search system was obtained. To solve the problem, a model of search efforts specification was used where the control of each measuring and search terminal was assumed to be known.

References

  1. V. I. Arkin, “Problems of optimal distribution of search efforts,” Teoriya Veroyatnostei i ee Primenenie, No. 1, 179–180 (1964).
  2. V. A. Gorbunov, Target Detection Efficiency (Voenizdat, Moscow, 1980) [in Russian].
  3. V. A. Abchuk and V. G. Suzdal’, Search of Objects (Sov. Radio, Moscow, 1977) [in Russian].
  4. O. Hellman, “On the optimal search for a randomly moving target,” SIAM J. Appl. Math. 22, 545–552 (1972).
  5. O. Hellman, Introduction to the Theory of Optimal Search (Nauka, Moscow, 1985) [in Russian].
  6. D. P. Kim, Methods of Search and Pursuing of Moving Objects (Nauka, Moscow, 1989) [in Russian].
  7. A. A. Strotsev, “Game-theoretic principles of the control optimization in multiposition complex measurement-and-search systems,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 47(10) 31–40 (2004).
  8. A. A. Strotsev, “Uniformly optimal search strategies of conditionally deterministic dynamic circuit,” in Proceedings of the IX International scientific-and-technical conference “Radiolocation, navigation, and communications,” Voronezh, 2003 (Voronezh, 2003), pp. 1424–1431.
  9. A. A. Strotsev and I. L. Ivashchenko, “Synthesis of optimal control of a multiposition information system when seeking for a group of dynamic objects,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 48(10), 37–45 (2005).
  10. A. A. Strotsev, S. A. Funtikov, and S. V. Sinitsyn, “On the possible application of the minimum probability criterion for detecting an aircraft in problems of information counteraction,” Sistemy Upravleniya i Svyazi, No. 2, 78–81 (2005).
  11. Yu. A. Shishov and V. A. Voroshilov, Multichannel Radiolocation with Time-Division Channeling (Radio i Svyaz’, Moscow, 1987) [in Russian].
  12. Reference Book on the Automatic Control Theory (Nauka, Moscow, 1987) [in Russian, ed. by A. A. Krasovskii].

Downloads

Published

2007-09-06

Issue

Vol. 50 No. 9 (2007): Rostov-on-Don Military Institute of the Rocket Troops

Section

Research Articles