The optimal control syntesis in systems with additive hysteresis nonlinearities

A.I. Drabo; O.I. Kanishcheva; A.I. Malenev; A.E. Pigarev

The optimal control syntesis in systems with additive hysteresis nonlinearities

A.I. Drabo¹, O.I. Kanishcheva², A.I. Malenev³, A.E. Pigarev⁴

research article Pages: 60-64

¹ Ph.D. (Eng.), Lecturer, Federal State Official Military Educational Institution of Higher Professional Education Military Educational Research Centre of Air Force «Air Force Academy named after professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh) of the Ministry of Defense of the Russian Federation
² Ph.D. (Phys.-Math.), Associate Professor, Federal State Official Military Educational Institution of Higher Professional Education Military Educational Research Centre of Air Force «Air Force Academy named after professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh) of the Ministry of Defense of the Russian Federation
³ Applicant of Theoretical Hydrometeorology Department, Federal State Official Military Educational Institution of Higher Professional Education Military Educational Research Centre of Air Force «Air Force Academy named after professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh) of the Ministry of Defense of the Russian Federation
⁴ Ph.D. (Geograph.), Associate Professor, Federal State Official Military Educational Institution of Higher Professional Education Military Educational Research Centre of Air Force «Air Force Academy named after professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh) of the Ministry of Defense of the Russian Federation

Keywords: hysteresis phenomena nonlinearity hysteresis converter functionality of quality principle of the maximum optimal control optimum transition process task about optimum production

Abstract

The hysteresis phenomena are widespread in various natural-science areas (physics, ecology, biology), economic systems also often show «hysteresis» behavior. A number of almost important problems from the areas mentioned above is reduced to problems of op-timum control. Thus methods of synthesis of optimum control in systems with hysteresis nonlinearities so far almost not developed. For one class of systems the work is devoted to development of methods of optimum control.

How to cite

Драбо А.И., Канищева О.И., Маленев А.И., Пигарев А.Е. Синтез оптимального управления в системах с аддитивными гистерезисными нелинейностями // Нелинейный мир. 2016. № 2. С. 60–64.

References

Semenov M.E. Matematicheskoe modelirovanie ustojjchivykh periodicheskikh rezhimov v sistemakh s gisterezisnymi nelinejjnostjami. Voronezh: Izd-vo VGU, 2002. 104 s.
Semenov M.E., Rukavicyn A.G., Kanishheva O.I., Pigarev A.E. Adaptivnoe upravlenie neustojjchivym obektom s gisterezisnymi svojjstvami //Vestnik VGU. Ser. Sistemnyjj analiz i informacionnye tekhnologii. 2014. № 1. S. 40-44.
Lebedev G.N., Semenov M.E., Grachikov D.V., Kanishheva O.I.Gisterezisnaja model sinkhronizacii biologicheskikh nejjronov // Informacionnye tekhnologii. 2014. № 6. S. 11-15.
Tatokhin E.A., Budanov A.V., Rudnev E.V., Kadancev A.V., Semenov M.E. Analiz neehksponencialnykh signalov relaksacii emkosti // Izvestija vysshikh uchebnykh zavedenijj. Ser. Fizika. 2009. № 7. S. 70-77.
Krasnoselskijj M.A., Pokrovskijj A.V. Sistemy s gisterezisom. M.: Nauka. 1983. 271 c.
Blagodatskikh V.I. Vvedenie v optimalnoe upravlenie. M.: Vysshaja shkola. 2001. 238 s.
Paraev JU.I. Reshenie zadach ob optimalnom proizvodstve, khranenii i sbyte tovara // Izvestija RAN. Teorija i sistemy upravlenija. 2000. № 2. S. 103-117.
Matveev M.G., Semenov M.E., Rudchenko T.V. Razrabotka modeli optimalnogo proizvodstva, khranenija i sbyta produkcii v uslovijakh gisterezisnojj funkcii sprosa i nestacionarnosti potrebitelskikh otnoshenijj // Vestnik VGU. Ser. Fizika. Matematika. 2007. № 1. S. 58-62.
Lebedev G.N., Semenov M.E., Matveev M.G. Optimalnoe upravlenie v zadache o vybore proizvodstvennojj i cenovojj strategii // Sistemy upravlenija i informacionnye tekhnologii. 2009. № 4.1(38). S. 71-73.

[1] Semenov M.E. Matematicheskoe modelirovanie ustojjchivykh periodicheskikh rezhimov v sistemakh s gisterezisnymi nelinejjnostjami. Voronezh: Izd-vo VGU, 2002. 104 s.

[2] Semenov M.E., Rukavicyn A.G., Kanishheva O.I., Pigarev A.E. Adaptivnoe upravlenie neustojjchivym obektom s gisterezisnymi svojjstvami //Vestnik VGU. Ser. Sistemnyjj analiz i informacionnye tekhnologii. 2014. № 1. S. 40-44.

[3] Lebedev G.N., Semenov M.E., Grachikov D.V., Kanishheva O.I.Gisterezisnaja model sinkhronizacii biologicheskikh nejjronov // Informacionnye tekhnologii. 2014. № 6. S. 11-15.

[4] Tatokhin E.A., Budanov A.V., Rudnev E.V., Kadancev A.V., Semenov M.E. Analiz neehksponencialnykh signalov relaksacii emkosti // Izvestija vysshikh uchebnykh zavedenijj. Ser. Fizika. 2009. № 7. S. 70-77.

[5] Krasnoselskijj M.A., Pokrovskijj A.V. Sistemy s gisterezisom. M.: Nauka. 1983. 271 c.

[6] Blagodatskikh V.I. Vvedenie v optimalnoe upravlenie. M.: Vysshaja shkola. 2001. 238 s.

[7] Paraev JU.I. Reshenie zadach ob optimalnom proizvodstve, khranenii i sbyte tovara // Izvestija RAN. Teorija i sistemy upravlenija. 2000. № 2. S. 103-117.

[8] Matveev M.G., Semenov M.E., Rudchenko T.V. Razrabotka modeli optimalnogo proizvodstva, khranenija i sbyta produkcii v uslovijakh gisterezisnojj funkcii sprosa i nestacionarnosti potrebitelskikh otnoshenijj // Vestnik VGU. Ser. Fizika. Matematika. 2007. № 1. S. 58-62.

[9] Lebedev G.N., Semenov M.E., Matveev M.G. Optimalnoe upravlenie v zadache o vybore proizvodstvennojj i cenovojj strategii // Sistemy upravlenija i informacionnye tekhnologii. 2009. № 4.1(38). S. 71-73.

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