Buy (600 RUB)
|Generate QR code
Open Access
Subscription or Fee Access
Countermeasures Against the Attacker’s Homing Algorithm in a Game of Three Players
https://doi.org/10.17587/mau.25.575-584
Abstract
The paper considers a game of three players on the plane attacker, target and defender (an ADT-game). The attacker’s dynamics is described by simple motions, while target and defender are moving in a strait line. At the same time in the game model the attacker receives information about the environment through an acoustic channel in which the target and the defender broadcasts some signals. The field of view of this channel is limited by a cone. The attacker’s goal is to intercept the target and the goal of the target-defender coalition is to delay the interception as much as possible by jamming the attacker’s observation channel. During the chase the attacker uses the law of proportional navigation and various algorithms for target’s bearing estimation which are considered known to the target-defender coalition. The behavior of the system is investigated when using a well-known and a promising intelligent estimation algorithm. For each case an optimization problem is set to optimize the defender’s release angle in order to increase the interception time. The dynamics of all players and various trajectories of the defender in conditions of noiseless and noisy observation channels are simulation, the obtained results are compared.
Keywords
ADT-game,
plane intercept,
trajectory optimization,
homing system,
countermeasures against a homing system,
decoy,
mobile decoy,
optimal estimation problem,
Kalman filter,
extended Kalman filter
Supporting agencies: This work was supported by the Russian Science Foundation grant No. 23-19-00134.
About the Authors
A. P. Potapov
V. A. Trapeznikov Institute of Control Sciences RAS
Russian Federation
Russian Federation
Potapov Anton P., Mathematician
Moscow, 117997
A. A. Galyaev
V. A. Trapeznikov Institute of Control Sciences RAS
Russian Federation
Russian Federation
Moscow, 117997
References
1. Verba V. S., Merkulov V. I., Zakomoldnin D. V. Problems of intercepting high-speed aircraftmaneuvering according to complex laws. Part 1. Features of the usage of high-speed aircraft, complicating their interception, Uspechi Sovremennoi Radioelectroniki, 2024, vol. 78, no. 3, pp. 5—12 (in Russian).
2. Anouck G. R., Pierre T. K. Optimal Homing and Optimal Evasion, SIAM Review, 2015, vol. 57, no. 4, pp. 611—624.
3. Rubinovich E. Ya. Two Targets Pursuit-Evasion Differential Game with a Restriction on the Persuaer Turning, Isvestiya YuFU. Tehnicheskie Nauki, 2018, no. 1, pp. 119—128 (in Russian).
4. Rubinovich E. Ya. On the Expansion of a Class of Open-Loop Evasion Control in the Simplest Two-Criteria Pursuit-Evasion Game of Two Purposes, Mekhatronika, Avtomatizatsiya, Upravlenie, 2019, vol. 9, no. 20, pp. 524—531 (in Russian).
5. Galyeaev A. A., Lysenko P. V., Rubinovich E. Ya. On one problem of suboptimal intercept of a randomly moving target, Aktualnie Problemi Zashiti I Bezopasnosti, Trudi XXV Vserossiskoi Nauchno-Practicheskoi Konferencii, 2022, pp. 91—92 (in Russian).
6. Galyaev A. A., Nasonov I. A., Medvedev A. I. Neural network algorithm for intercepting targets moving along known trajectories by a Dubins’ car, Automation and Remote Control, 2023, vol. 84, no. 3, pp. 3—21 (in Russian).
7. Merkulov V. I., Kharkov V. P. Synthesis of control law of interception high-speed & highly maneuverable air targets, Informacionno-Ismeritelnie i Upravlyaushie sistemi, 2017, no. 10, pp. 3—8 (in Russian).
8. Galyaev A. A., Lysenko P. V., Rubinovich E. Y. Optimal Stochastic Control in the Interception Problem of a Randomly Tacking Vehicle, Mathematics, 2021, vol. 9, no. 19, pp. 2386.
9. Li Y., Wang X., Ding Z. Position and Velocity Estimation Using OFDM Communication Signals, IEEE Transactions on Communications, 2020, vol. 68, no. 2, pp. 1160—1174.
10. Kalman R. E. A New Approach to Linear Filtering and Prediction Problems, Transactions of the ASME—Journal of Basic Engineering, 1960, pp. 35—45.
11. Julier S. J., Uhlmann J. K. Unscented Filtering and Nonlinear Estimation, Proceedings of the IEEE, 2004, vol. 92, no. 3, pp. 401—402.
12. Song F., Li Y., Cheng W., Dong L., Li M., Li J. An Improved Kalman Filter Based on Long Short-Memory Recurrent Neural Network for Nonlinear Radar Target Tracking, Wireless Communications and Mobile Computing, 2022, pp. 10.
13. Coskun H., Achilles F., DiPietro R., Navab N., Tombari F. Long Short-Term Memory Kalman Filters: Recurrent Neural Estimators for Pose Regularization, 2017 IEEE International Conference on Computer Vision (ICCV), 2017, pp. 5525—5533.
14. Alyanak E., Venkayya V., Grandhi R., Penmetsa R. Structural response and optimization of a supercavitating torpedo, Finite Elements in Analysis and Design, 2005, vol. 41, no. 6, pp. 563—582.
15. Yeh Fu-K., Cheng K.-Y., Fu L.-Ch. Variable structurebased nonlinear missile guidance/autopilot design with highly maneuverable actuators, IEEE Transactions on Control Systems Technology, 2004, vol. 12, no. 6, pp. 944—949.
16. Li L., Deng F., Peng Zh., Li X., Zha W. A differential game for cooperative target defense, Automatica, 2019, vol. 102, pp. 58—71.
17. Vassilyev S. N., Galyaev A. A., Zaletin V. V., Kulakov K. S., Silnikov M. V., Yakushenko E. I. Joint Use of Mechatronic Systems to Organize Effective Counteraction to the Coordinated Action of Enemy Torpedoes, Mekhatronika, Avtomatizatsiya, Upravlenie, 2022, no. 4, pp. 197—208 (in Russian).
18. Buzikov M. E., Vasilev S. N., Galyaev A. A., Lysenko P. V., Samokhin A. S., Samokhina M. A., Zaletin V. V., Yakushenko E. I. A model of group counteraction to homing system, Materiali Konferencii "Upravlenie v Morskikh Sistemakh" (UMS-2022), AO "Koncern CNII "Electropribor", Saint-Petersburg, 2022, pp. 96—97 (in Russian).
19. Cho H., Shin M., Lee J., Kim W.-J., Kim W. Sh., Hong W. A study of the effectiveness analysis for survivability of a surface warship from a torpedo attack, Journal of Simulation, 2019, vol. 13, no. 4, pp. 303—315.
20. Galyaev A. A., Samokhin A. S., S amokhina M. A. Modeling of the target’s interception delay in an ADT game with one or two defenders, Problemi Upravleniya, 2024, no. 2, pp. 83—94 (in Russian).
21. Suzdal V. G. Objects Search, Moscow, Sovetskoe Radio, 1977, 334 p.
Review
For citations:
Potapov A.P., Galyaev A.A. Countermeasures Against the Attacker’s Homing Algorithm in a Game of Three Players. Mekhatronika, Avtomatizatsiya, Upravlenie. 2024;25(11):575-584. (In Russ.) https://doi.org/10.17587/mau.25.575-584
Views:
188
.png)
Email this article 