Methodology of determining of the transfer function of engagement kinematics of accelerations of an aircraft and its elliptic coordinates used for thr guidance based on time difference of arrival
https://doi.org/10.21122/2309-4923-2021-1-12-20
Abstract
This paper discusses the problem of determining a kinematics (in terms of transfer function, as far as possible) of parameters of the motion of an aircraft expressed in the curvilinear coordinate system and control accelerations expressed in a rectangular coordinate system. Examples of curvilinear coordinate systems using in practice can be polar, biangular, two-center bipolar, elliptic, parabolic cylindrical, spherical, ellipsoidal, coordinate systems. A technique for obtaining a kinematic link for the control problem of an unmanned aerial vehicle in the elliptic coordinate system was described. It allowed to obtain simpler view of the kinematic link which could provide navigation an aircraft along the hyperbola deriving from the time difference of arrival navigation system. It can. As a result, it is possible to reduce the number of the navigation radio beacons.
About the Authors
V. V. Legkostup
ALEVKURP JSC
Belarus
Belarus
Legkostup Victor Valeryevich – stuff researcher
Minsk
V. E. Markevich
SAMERA LLC
Belarus
Belarus
Markevich Vitaliy Edmundovich – PhD, deputy director
Minsk
References
1. Khanukayev Yu. I. Vvedeniye v teoreticheskuyu mekhaniku: uchebnoye posobiye / YU. I. Khanukayev. – M.: MFTI, 2017. – 240 s.
2. Alferov G. V. Metodicheskoye posobiye. Mekhanika v krivolineynykh koordinatakh. Sankt – Peterburg 2006
3. Korn G. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov / G. Korn, T. Korn. – M.: Nauka, 1970.
4. Rashevskiy. P. K. Rimanova geometriya i tenzornyy analiz. – M. – L.: Gostekhizdat, 1953. – 635 s.
5. Poznyak E. G. Differentsial’naya geometriya: pervoye znakomstvo / E. G. Poznyak, Ye. V. Shikin. – Moskva: Mir, 1990. – 719 c.
6. Vil’ke V. G. Teoreticheskaya mekhanika: uchebnik i praktikum dlya akademicheskogo bakalavriata / V. G. Vil’ke. – 4-ye izd., pererab. i dop. – M.: Izdatel’stvo Yurayt, 2016. – 311 s
7. Pogorelov D.Yu. Vvedeniye v modelirovaniye dinamiki sistem tel. Bryansk: BGTU. 1997. 156s.
8. Itskov M. Tensor Algebra and Tensor Analysis for Engineers with Applications to Continuum Mechanics. Springer, 2009.
9. Bowen R. M., and Wang C.-C. Introduction to Vectors and Tensors, Springer, New York, 1976.
10. Kim D. P. Teoriya avtomaticheskogo upravleniya. T. 2. Mnogomernyye, nelineynyye, optimal’nyye i adaptivnyye sistemy: Ucheb. posobiye. – M.: FIZMATLIT, 2004. – 464 s.
11. Kun A.A, Luk’yanov V. F., Shaban S.A. Osnovy postroyeniya sistem upravleniya raketami. V 3-kh ch. – Minsk: Izdaniye akademii, 2001, 131s.
12. Orlov Ye. V. Proyektirovaniye sistem teleupravleniya. – Izhevsk: Izdatel’skiy dom «Udmurtskiy universitet», 200. 272s.
Review
For citations:
Legkostup V.V., Markevich V.E. Methodology of determining of the transfer function of engagement kinematics of accelerations of an aircraft and its elliptic coordinates used for thr guidance based on time difference of arrival. «System analysis and applied information science». 2021;(1):12-20. (In Russ.) https://doi.org/10.21122/2309-4923-2021-1-12-20
Views:
660
Email this article 