Mathematical Model for Simulation Implementation of Functioning of Air Defense System of a Naval Surface Force

Abstract

The article considers the stages of the logical-time cyclogram of detection and maintenance of groups of controlled objects by means of the air defense system of a naval surface force. An algorithm for forming arrays of detected objects is implemented, taking into account the impulse volume, the coverage sector to accompany all detected objects and other configuration factors, considering probabilistic estimates of the detection of controlled objects. A mathematical model of the functioning of the naval surface force air defense system has been created, taking into account various parameters of active means affecting the groups of controlled objects, as well as taking into account firing strategies in the presence of network-centric control of the order of controlled objects. An algorithm for evaluating the results of fire counteraction of a network-centric group of controlled objects on the part of the air defense system of a naval surface force has been considered. A variant of the simulation implementation of the logical-time cyclogram of the operation of air defense system fire channels has been developed, and examples of the implementation of a logical-time cyclogram for an arbitrary composition of the air defense system are given, taking into account the strategic actions of active means of a naval surface force. Additional conditions for embedding the developed version of the algorithm of the air defense system logical-time cyclogram into the system for simulating the conflict interaction of systems are listed Please cite this article in English as:

Voronov E.M., Repkin A.L., Khromov Ph.M., et al. Mathematical model for simulation implementation of functioning of air defense system of a naval surface force. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2022, no. 1 (138), pp. 62--84 (in Russ.). DOI: https://doi.org/10.18698/0236-3933-2022-1-62-84

References

[1] Voronov E.M., Latypova P.A., Repkin A.L., et al. [Formation of optimal management resource for groups of objects in the problem of conflict counteraction between an air-missile group and an air defense system]. UMAS-2016. IX Mul’tikonf. po problemam upravleniya [UMAS-2016. IX Multiconf. Control Problems], 2016, pp. 453--463 (in Russ.).

[2] Voronov E.M., Mikrin E.A., Obnosov B.V., eds. Stabilizatsiya, navedenie, gruppovoe upravlenie i sistemnoe modelirovanie bespilotnykh letatel’nykh apparatov. Sovremennye podkhody i metody. T. 2 [Stabilization, guidance, group control and system modeling of unmanned aerial vehicles. Vol. 2]. Moscow, BMSTU Publ., 2018.

[3] Voronov E.M., Efremov V.A., Repkin A.L., et al. Functional properties of conflict-optimum prediction in the system of optimizationimitation modeling of interaction between group of controlled means of destruction. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2013, no. 3 (92), pp. 3--27 (in Russ.).

[4] Tomashevskiy V.T., ed. Issledovatel’skoe imitatsionnoe modelirovanie v reshenii problem razvitiya sistemy morskikh vooruzheniy i ee podvodnoy sostavlyayushchey [Research simulation modeling in solving problems of improving naval weapons system and its underwater part]. St. Petersburg, Nauka Publ., 2008.

[5] Efremov V.A., Sychev S.I., Khamaev N.V., et al. Group structure of controlled weapons for salvo use. Radioelektronnye tekhnologii, 2018, no. 3, pp. 66--69 (in Russ.).

[6] Obnosov B.V. Osnovy vzaimodeystviya upravlyaemykh aviatsionnykh sredstv porazheniya s sistemami bortovogo oborudovaniya aviatsionnykh kompleksov i vneshnikh sredstv razvedki i tseleukazaniya. Rol’ setetsentricheskikh sistem vedeniya boevykh deystviy. V kn.: Rossiya: Soyuz tekhnologiy [Fundamentals of interaction between guided aircraft weapons and onboard equipment systems of aircraft complexes and external reconnaissance and target designation equipment. The role of networkcentric combat systems. In: Russia: Technology Union]. Moscow, Liga sodeystviya oboronnym predpriyatiyam Publ., 2013.

[7] Kamenskiy I.E., Sovetov V.A., Subbotin A.V., et al. On special aspects of the general statement of the target distribution problem in an air defense system. Vestnik Yaroslavskogo vysshego voennogo uchilishcha protivovozdushnoy oborony, 2018, no. 2, pp. 115--119 (in Russ.).

[8] Dvornikov K.A., Illarionov A.V. Application of modeling complexes to assess the effectiveness of the ship’s air defense scheme. Problemy razvitiya korabel’nogo vooruzheniya i sudovogo radioelektronnogo oborudovaniya, 2013, no. 2, pp. 10--21 (in Russ.).

[9] Voronov E.M., Repkin A.L., Khromov F.M., et al. Model of conflict interaction of groups with networkcentric control formation of controlled objects. Avtomatizatsiya. Sovremennye tekhnologii, 2021, vol. 75, no. 2, pp. 82--91 (in Russ.).

[10] Kruglikov S.V. Technique of solving multifactorial target allocation in automated control systems. Doklady BGUIR, 2013, no. 5, pp. 93--99 (in Russ.).

[11] Semenov S.S., Kharchev V.N., Ioffin A.I. Otsenka tekhnicheskogo urovnya obraztsov vooruzheniya i voennoy tekhniki [Assessment of the technical level of weapons and military equipment samples]. Moscow, Radio i svyaz Publ., 2004.

[12] Balyko Yu.P., ed. Metodologicheskie osnovy sozdaniya sistem i kompleksov aviatsionnogo raketnogo vooruzheniya [Methodological foundations for developing systems and complexes of aviation missile weapons]. Moscow, Dashkov and Co Publ., 2012.

[13] Rubinovich E.Ya., ed. Metody prinyatiya resheniy v zadachakh otsenki kachestva i tekhnicheskogo urovnya slozhnykh tekhnicheskikh system [Decision-making methods in problems of assessing quality and technical level of complex technical systems]. Moscow, Editorial URSS Publ., Lenand Publ., 2016.

[14] Neupokoev F.K. Protivovozdushnyy boy [Air defense battle]. Moscow, Voenizdat Publ., 1989.

[15] Voronov E.M., Kuslya A.M., Repkin A.L., et al. A comprehensive algorithm for detection, identification of naval surface forces and target allocation of network-centric controlled weapons. Herald of the Bauman Moscow State Technical University, Series Instrument Engineering, 2020, no. 4 (133), pp. 75--98 (in Russ.). DOI: http://doi.org/10.18698/0236-3933-20204-75-98