Modified method of proportional navigation to intercept aeroballistic targets with a limited sector guidance of missile
https://doi.org/10.21122/2309-4923-2018-4-28-50
Abstract
The improved version of the algorithm realizing a method of proportional navigation for guidance of anti-aircraft guided missiles in the limited sector of the angular tracking connected with the line of sight of the aero ballistic target and the anticipations providing sustainable missile guidance with the maximum the angles of pre-emption, which aren’t exceeding maximum permissible is considered. The analytical expressions describing the algorithm of calculation of guidance command and signals of correction, adaptive to parameters of the movement and realizing steady tracking and control of a guided anti-aircraft missile in the wide the ranges of the radial distance, heights and speeds of the movement of aerodynamic target are given. Results of mathematical simulation of a problem of spatial interception of the aero-ballistic targets and also the comparative analysis and preliminary estimate of accuracy of guidance of the existing classical and modified versions of a method of proportional navigation are presented.
About the Authors
V. E. Markevich
ALEVKURP OJSC
Belarus
Markevich Vitaliy Edmundovich – Candidate of Engineering Sciences, leader scientist
Belarus
Markevich Vitaliy Edmundovich – Candidate of Engineering Sciences, leader scientist
V. V. Legkostup
ALEVKURP OJSC
Belarus
Legkostup Victor Valeryevich – junior researcher, post-graduate student of BSUIR
Belarus
Legkostup Victor Valeryevich – junior researcher, post-graduate student of BSUIR
References
1. Newell Н. Е. Guided Missile Kinematics. – Naval Research Labs. USA. – 1945.
2. Kan, V. L. About exact solutions of the equations of proportional navigation / V. L. Kan, A. S. Kelzon // News of higher education institutions. Math, 1962, No. 1. – c. 50–56.
3. Pugachev, V. S. Control systems and dynamics of flight of missiles / V. S. Pugachev, I. E, Kazakov, D. I. Gladkov; under the editorship of V.S. Pugachev. – M.: HMIA of prof. N. E. Zhukovsky, 1965. – 615 pages.
4. Krinetsky, E. I. Systems of homing / E. I. Krinetsky. – M.: Mechanical engineering, 1970. – 236 pages.
5. Batkov, A. M. Design of systems of targeting / A. M. Batkov, A. A. Gorsky, V. F. Levitin; under the editorship of E. A. Fedosov. – M.: Mechanical engineering, 1975. – 296 pages.
6. Maximov, M. V. The radio-electronic systems of homing / M. V. Maximov, G. I. Gorgonov – M.: Radio and communication, 1982. – 304 pages.
7. Kazakov, I. E., Mishakov A. F. Aviation guided missiles. Ch.2. Control systems and dynamics of targeting of guided missiles and bombs / I. E. Kazakov, A. F. Mishakov; under the editorship of I.E. Kazakov. – M.: VVIA of prof. N. E. of Zhukovsky, 1985. – 423 pages.
8. Ravens, A. A. Theory of automatic control: the textbook for HIGHER EDUCATION INSTITUTIONS: in 2 h / A. A. Voronov [etc.]; under the editorship of A. A. Voronov. – M.: The higher school, 1986. – Ch.2. Theory of nonlinear and special systems of automatic control. – 504 pages.
9. Dohi, N. Modifi proportional navigation for a missile with varying velocity – comparison with the optimal guidance. / N. Dohi, Y. Baba, H. Takano. – The proceeding of 24th international congress of the aeronautical sciences ICAS – 2004. – Yokohama, Japan. – 2004. V.7, p.207–215.
10. Palumbo, Neil F. Modern homing missile guidance theory and techniques. / Neil F. Palumbo, Ross A. Blauwkamp, Justin M. Lloyd. – Johns Hopkins APL Technical digest, USA. – 2010. V.29. No.1, p.42-59.
11. Markevich, V. E. Analytical synthesis of a method of guidance of the supersonic unmanned aerial vehicle on the basis of multidimensional nonlinear dynamic model. / V. E. Markevich // Sb. науч. тр. / OIPI NAN of Belarus. – Informatics. – 2017. – No. 2 (54). – page 93–112.
12. Kolesnikov, A. A. Design of multicriteria control systems of industrial facilities. / A. A. Kolesnikov, A. G. Gelfgat. – M.: Energoatomizdat, 1993. – 304 pages.
13. Kolesnikov A. A. Synergetic theory of control. Invariants, optimization, synthesis. / A. A. Kolesnikov. – M.: Energoatomizdat, Taganrog: TRTU publishing house, 1994. – 344 pages.
14. Heuristic algorithm. [Electronic resource]. – 2014. – Access mode: https://ru.wikipedia.org/wiki/Evristicheskiy_algoritm. – Date of access: 21.02.2018.
15. Lurye, A. I. Analiticheskaya of the mechanic. / A. I. Lurye. – M.: Gosfizmatlit, 1961. – 824 pages.
16. Gorbatenko S. A. Mechanics of flight. General information. Equations of the movement: engineering reference book. / S. A. Gorbatenko [etc.]; under the editorship of S. A. Gorbatenko. – M.: Mechanical engineering, 1969. – 420 pages.
17. Kuhn, A. A. The basic of designed anti – aircraft guided missile / A. A. Kuhn, V. F. Lukyanov, S. A. Shaban. – Minsk: Military Academy the Republic of Belarus, 2001. – 327 pages.
18. Outline sketch of the V – 601P ant – aircraft missile of system S – 125. Book 1. Definition of characteristics of a missile. [Electronic resource]. – 2015. – Access mode: http://www.historykpvo-2.ucoz.ru. – Date of access: 1/11/2018
19. Outline sketch of an anti – aircraft guided missile V 601P. Book 2. Dynamics of flight and efficiency of a missile. [Electronic resource]. – 2015. – Access mode: http://www.historykpvo-2.ucoz.ru. – Date of access: 2/3/2018.
20. A research on expansion of fighting opportunities of the S-125 complex on firing of the high-speed purposes flying speed more 560 m/s”. [Electronic resource]. – 2015. – Access mode: http://www.historykpvo-2.ucoz.ru. – Date of access: 3/7/2018.
21. The report on tests of the S – 125 complex finished for improvement of fighting characteristics when firing at the maneuvering targets. Volume 2. 1973. [Electronic resource]. – 2015. – Access mode: http://www.historykpvo-2.ucoz.ru. – Date of access: 3/7/2018.
Review
For citations:
Markevich V.E., Legkostup V.V. Modified method of proportional navigation to intercept aeroballistic targets with a limited sector guidance of missile. «System analysis and applied information science». 2018;(4):28-50. (In Russ.) https://doi.org/10.21122/2309-4923-2018-4-28-50
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