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Erschienen in: Journal of Computer and Systems Sciences International 5/2020

01.09.2020 | CONTROL SYSTEMS OF MOVING OBJECTS

Linear-Cubic Locally Optimal Control of Linear Systems and Its Application for Aircraft Guidance

verfasst von: V. S. Verba, V. I. Merkulov, E. A. Rudenko

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 5/2020

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Abstract

In the paper, the requirements for aircraft guidance methods are considered. It is noted that the existing methods of optimization of linear control systems based mainly on the minimization of quadratic functionals of quality do not allow providing the set of requirements for interception systems of aerial objects. It is proposed to use new local quadratic-biquadratic quality functionals, whose minimization makes it possible to obtain more general linear-cubic control laws that are adequate for modern requirements. The biquadratic terminal part of the functional contains fourth-degree summands. An example of the synthesis of a specific guidance method is considered and analyzed.

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Literatur
1.
Zurück zum Zitat Aircraft Radio Control Systems, The School-Book for Military and Civilian Higher Schools, Ed. by V. I. Merkulov and N. E. Zhukovskii (VVIA im. N. E. Zhukovskogo, Moscow, 2008) [in Russian]. Aircraft Radio Control Systems, The School-Book for Military and Civilian Higher Schools, Ed. by V. I. Merkulov and N. E. Zhukovskii (VVIA im. N. E. Zhukovskogo, Moscow, 2008) [in Russian].
2.
Zurück zum Zitat A. P. Sage and Ch. S. White, Optimum Systems Control (Prentice-Hall, Englewood Cliffs, NJ, 1977).MATH A. P. Sage and Ch. S. White, Optimum Systems Control (Prentice-Hall, Englewood Cliffs, NJ, 1977).MATH
3.
Zurück zum Zitat Ya. N. Roitenberg, Automatic Control (Nauka, Moscow, 1992) [in Russian]. Ya. N. Roitenberg, Automatic Control (Nauka, Moscow, 1992) [in Russian].
4.
Zurück zum Zitat F. A. Chernous’ko and V. B. Kolmanovskii, Optimal Control under Random Perturbation (Nauka, Moscow, 1978) [in Russian].MATH F. A. Chernous’ko and V. B. Kolmanovskii, Optimal Control under Random Perturbation (Nauka, Moscow, 1978) [in Russian].MATH
5.
Zurück zum Zitat A. S. Khalina and M. M. Khrustalev, “System shape optimization and stabilization of controlled quasi-linear stochastic systems that operate on an infinite time interval,” J. Comput. Syst. Sci. Int. 56, 64 (2017).MathSciNetCrossRef A. S. Khalina and M. M. Khrustalev, “System shape optimization and stabilization of controlled quasi-linear stochastic systems that operate on an infinite time interval,” J. Comput. Syst. Sci. Int. 56, 64 (2017).MathSciNetCrossRef
6.
Zurück zum Zitat A. S. Bortakovskii, “Separation theorem in control problems for bundles of trajectories of deterministic linear switchable systems,” J. Comput. Syst. Sci. Int. 59, 171 (2004).CrossRef A. S. Bortakovskii, “Separation theorem in control problems for bundles of trajectories of deterministic linear switchable systems,” J. Comput. Syst. Sci. Int. 59, 171 (2004).CrossRef
7.
Zurück zum Zitat Aircraft Radio Control Systems, Ed. by V. S. Verba and V. I. Merkulov (Radiotekhnika, Moscow, 2014) [in Russian]. Aircraft Radio Control Systems, Ed. by V. S. Verba and V. I. Merkulov (Radiotekhnika, Moscow, 2014) [in Russian].
8.
Zurück zum Zitat Aircraft Radio Control Systems, Vol. 2: Electronic Homing Systems, Ed. by A. I. Kanashchenkov and V. I. Merkulov (Radiotekhnika, Moscow, 2003) [in Russian]. Aircraft Radio Control Systems, Vol. 2: Electronic Homing Systems, Ed. by A. I. Kanashchenkov and V. I. Merkulov (Radiotekhnika, Moscow, 2003) [in Russian].
9.
Zurück zum Zitat Radio-Electronic Systems for Navigation, Aiming and Weapon Control of Aircraft, Vol. 1: Theoretical Foundations, Ed. by M. S. Yarlykov (Radiotekhnika, Moscow, 2012) [in Russian]. Radio-Electronic Systems for Navigation, Aiming and Weapon Control of Aircraft, Vol. 1: Theoretical Foundations, Ed. by M. S. Yarlykov (Radiotekhnika, Moscow, 2012) [in Russian].
10.
Zurück zum Zitat I. M. Popov and M. M. Khamzatov, War of the Future. Conceptual Framework and Practical Conclusions (Kuchkovo pole, Moscow, 2017) [in Russian]. I. M. Popov and M. M. Khamzatov, War of the Future. Conceptual Framework and Practical Conclusions (Kuchkovo pole, Moscow, 2017) [in Russian].
11.
Zurück zum Zitat E. A. Fedosov, “The implementation of network-centric technology for warfare will require the creation of a new generation of radar,” Fazotron, No. 1 (2), 11–14 (2007). E. A. Fedosov, “The implementation of network-centric technology for warfare will require the creation of a new generation of radar,” Fazotron, No. 1 (2), 11–14 (2007).
12.
Zurück zum Zitat G. M. Siouris, Missile Guidance and Control Systems (Springer, New York, 2004). G. M. Siouris, Missile Guidance and Control Systems (Springer, New York, 2004).
13.
Zurück zum Zitat R. Yanushevsky, Modern Missile Guidance (CRC, London, New York, 2018).CrossRef R. Yanushevsky, Modern Missile Guidance (CRC, London, New York, 2018).CrossRef
14.
Zurück zum Zitat P. Zarchan, Tactical and Strategic Missile Guidance (AIAA, Reston, 2013). P. Zarchan, Tactical and Strategic Missile Guidance (AIAA, Reston, 2013).
15.
Zurück zum Zitat V. I. Merkulov, V. S. Verba, and A. R. Il’chuk, Automatic Tracking of Targets in Radar Integrated Aviation Systems, Vol. 1: Theoretical Foundations. Radar as Part of Integrated Aviation Systems, Ed. by V. S. Verba (Radiotekhnika, Moscow, 2018) [in Russian]. V. I. Merkulov, V. S. Verba, and A. R. Il’chuk, Automatic Tracking of Targets in Radar Integrated Aviation Systems, Vol. 1: Theoretical Foundations. Radar as Part of Integrated Aviation Systems, Ed. by V. S. Verba (Radiotekhnika, Moscow, 2018) [in Russian].
16.
Zurück zum Zitat V. P. Khar’kov and V. I. Merkulov, “Synthesis of control law of interception hith-speed and highly maneuverable air targets,” Inform.-Izmerit. Upravl. Sist. 15 (10), 3–8 (2017). V. P. Khar’kov and V. I. Merkulov, “Synthesis of control law of interception hith-speed and highly maneuverable air targets,” Inform.-Izmerit. Upravl. Sist. 15 (10), 3–8 (2017).
17.
Zurück zum Zitat V. I. Merkulov and D. A. Sokolov, “Multi-stage filter systems for automatic tracking,” Inform.-Izmerit. Upravl. Sist. 14 (2), 3–9 (2016). V. I. Merkulov and D. A. Sokolov, “Multi-stage filter systems for automatic tracking,” Inform.-Izmerit. Upravl. Sist. 14 (2), 3–9 (2016).
18.
Zurück zum Zitat V. S. Verba, V. I. Merkulov, and I. O. Samodov, “Optimization of group control of unmanned aerial vehicles,” Dinam. Slozh. Sist. 10 (3), 3–9 (2016). V. S. Verba, V. I. Merkulov, and I. O. Samodov, “Optimization of group control of unmanned aerial vehicles,” Dinam. Slozh. Sist. 10 (3), 3–9 (2016).
19.
Zurück zum Zitat V. I. Merkulov, “Local quadratic-biquadratic quality functional for optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 14 (11), 27–33 (2016). V. I. Merkulov, “Local quadratic-biquadratic quality functional for optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 14 (11), 27–33 (2016).
20.
Zurück zum Zitat V. I. Merkulov and S. B. Gusarov, “Quadratic-biquadratic optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 15 (3), 3–7 (2017). V. I. Merkulov and S. B. Gusarov, “Quadratic-biquadratic optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 15 (3), 3–7 (2017).
21.
Zurück zum Zitat J. H. Blakelock, Automatic Control of Aircraft and Missile (Wiley, New York, 1991). J. H. Blakelock, Automatic Control of Aircraft and Missile (Wiley, New York, 1991).
22.
Zurück zum Zitat V. I. Merkulov, “Air complex dynamism and airborne radio electronic complexes,” Radiotekhnika, No. 1, 88–96 (2010). V. I. Merkulov, “Air complex dynamism and airborne radio electronic complexes,” Radiotekhnika, No. 1, 88–96 (2010).
23.
Zurück zum Zitat V. I. Merkulov, V. V. Drogalin, and D. A. Milyakov, “Problems of interception of hypersonic aircraft,” Fazotron, No. 3, 52–54 (2012). V. I. Merkulov, V. V. Drogalin, and D. A. Milyakov, “Problems of interception of hypersonic aircraft,” Fazotron, No. 3, 52–54 (2012).
24.
Zurück zum Zitat V. S. Verba, “Theoretical and applied problems of designing hypersonic aircrafts interception systems,” Polet, No. 2, 14–22 (2014). V. S. Verba, “Theoretical and applied problems of designing hypersonic aircrafts interception systems,” Polet, No. 2, 14–22 (2014).
25.
Zurück zum Zitat I. E. Kazakov, Statistical Theory of Control Systems in the State Space (Nauka, Moscow, 1975) [in Russian]. I. E. Kazakov, Statistical Theory of Control Systems in the State Space (Nauka, Moscow, 1975) [in Russian].
26.
Zurück zum Zitat V. I. Merkulov, “Consideration of measured disturbances in local optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 14 (2), 61–64 (2016). V. I. Merkulov, “Consideration of measured disturbances in local optimization of control systems,” Inform.-Izmerit. Upravl. Sist. 14 (2), 61–64 (2016).
27.
Zurück zum Zitat E. A. Rudenko, “Optimal structure of continuous nonlinear reduced-order Pugachev filter,” J. Comput. Syst. Sci. Int. 52, 866 (2013).MathSciNetCrossRef E. A. Rudenko, “Optimal structure of continuous nonlinear reduced-order Pugachev filter,” J. Comput. Syst. Sci. Int. 52, 866 (2013).MathSciNetCrossRef
28.
Zurück zum Zitat V. I. Merkulov, V. S. Verba, A. R. Il’chuk, and E. E. Koltyshev, Automatic Tracking of Targets in Radar Integrated Aviation Systems, Vol. 2: Maintenance of Single Goals, Ed. by V. S. Verba (Radiotekhnika, Moscow, 2018) [in Russian]. V. I. Merkulov, V. S. Verba, A. R. Il’chuk, and E. E. Koltyshev, Automatic Tracking of Targets in Radar Integrated Aviation Systems, Vol. 2: Maintenance of Single Goals, Ed. by V. S. Verba (Radiotekhnika, Moscow, 2018) [in Russian].
29.
Zurück zum Zitat P. D. Krut’ko, A. I. Maksimov, and L. M. Skvortsov, Algorithms and Programs for Designing Automatic Systems (Radio Svyaz’, Moscow, 1988) [in Russian]. P. D. Krut’ko, A. I. Maksimov, and L. M. Skvortsov, Algorithms and Programs for Designing Automatic Systems (Radio Svyaz’, Moscow, 1988) [in Russian].
Metadaten
Titel
Linear-Cubic Locally Optimal Control of Linear Systems and Its Application for Aircraft Guidance
verfasst von
V. S. Verba
V. I. Merkulov
E. A. Rudenko
Publikationsdatum
01.09.2020
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 5/2020
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230720050123

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