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Method of Obtaining a Control Low Using a Synergetic Approach for the Problem of Aircraft Guidance Along a Hyperbola

https://doi.org/10.35596/1729-7648-2022-20-2-30-38

Abstract

The purpose of the article is to describe the methodology for obtaining the structure of the optimal controller, which guidances the aircraft to the target point along a hyperbola, using the Time Difference of Arrivals (TDoA) from two navigation positions on the plane. A feature of this system is that one TDoA measurement does not allow to fully describe the position of the aircraft on the plane, but only describes the position hyperbola. The guidance problem is solved by choosing a proper hyperbola passing through the target point and letting the aircraft move along this hyperbola to the target. This paper considers the application of the method of synthesis of an aggregated controller to obtain a nonlinear guidance law. This made it possible to take into account the properties of the control object to a larger extent. Computer simulation has shown the effectiveness of the expressions obtained.

About the Authors

V. V. Legkostup
JSC “ALEVKURP”
Belarus

Legkostup Victor Valer’evich - Researcher

223050, Minsk, v. Korolev Stan, Moskovskaya st., 1 a

tel. +375-25-532-27-25



V. E. Markevich
JSC “ALEVKURP”
Belarus

Cand. of Sci., Deputy Director

223050, Minsk, v. Korolev Stan, Moskovskaya st., 1 a

tel. +375-25-532-27-25



S. A. Shaban
JSC “ALEVKURP”
Belarus

Cand. of Sci., Leading Researcher

223050, Minsk, v. Korolev Stan, Moskovskaya st., 1 a

tel. +375-25-532-27-25



References

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2. Kolesnikov A.A. [Synergetic management theory: concepts, development trends]. Izvestiya SFedU. Technical science. 2001;5. (in Russ.)

3. Khalil H.K. Nonlinear Systems. Macmillan, New York; 1992.

4. Kazakov I.E. [Statistical theory of control systems in the state space]. Moscow: Nauka; 1975. (in Russ.)

5. 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.)

6. Kun A.A, Luk'yanov V.F., Shaban S.A. [Osnovy postroyeniya sistem upravleniya raketami]. Minsk: Izdaniye akademii; 2001. (in Russ.)


Review

For citations:


Legkostup V.V., Markevich V.E., Shaban S.A. Method of Obtaining a Control Low Using a Synergetic Approach for the Problem of Aircraft Guidance Along a Hyperbola. Doklady BGUIR. 2022;20(2):30-38. (In Russ.) https://doi.org/10.35596/1729-7648-2022-20-2-30-38

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ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)