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Journal Dynamics of Complex Systems - XXI century №2 for 2014 г.
Article in number:
Analysis of algorithms parametric identification information-operating systems that meet the principle Hamilton-Ostrogradskii
Keywords: parametric identification control system the principle of Hamilton-Ostrogradskii recurrence equations dynamical systems
Authors:
D. S. Andrashitov - Ph.D. (Eng.), Military academy of strategic rocket forces them Peter the Great, Russia
I. V. Deryabkin - Post-graduate Student, South-Russian State University of Economics and Service, Russia, Rostov-on-Don. E-mail: i.deryabkin@jint.biz
A. A. Kostoglotov - Dr.Sc. (Eng.), Professor of Department «Information Technology in service», South-Russian State University of Economics and Service, Russia, Rostov-on-Don. E-mail: kostoglotov@aaanet.ru
S. V. Lazarenko - Ph.D. (Eng.), Senior Lecturer of Department «Electronics», South-Russian State University of Economics and Service, Russia, Rostov-on-Don. E-mail: rh3311@mail.ru
Abstract:
This paper presents two methods for multi-parameter identification using the combined maximum principle, taking into account the physical characteristics of the systems in the form of the variational principle of Hamilton-Ostrogradskii. On this basis, synthesized resistant to noise measurements identification algorithms are characterized by high accuracy of the parameter estimates and their rate of convergence to the actual values. This is confirmed by the results of mathematical modeling of the pressure sensor parameter identification information management system in comparison with the Kalman filter.
Pages: 90-95
References

  1. Gropp D. Metody identifikatsii sistem. M.: Mir. 1975. 302 s.
  2. Seydzh E.P., Mels D.L. Identifikatsiya sistem upravleniya. M.: Nauka. 1974. 246 c.
  3. Spravochnik po teorii avtomaticheskogo upravleniya / Pod red. A.A. Krasovskogo. M.: Nauka. 1987. 712 s.
  4. Andrashitov D.S., Deryabkin I.V., Kostoglotov A.A., Lazarenko S.V. Variatsionnyy metod mnogoparametricheskoy identifikatsii dinamicheskikh sistem na osnove iteratsionnoy regulyarizatsii // Uspekhi sovremennoy radioelektroniki. 2012. № 6. S. 67-72.
  5. Kostoglotov A.A., Chebotarev A.V., Lazarenko S.V., Tsennykh B.M. Metod identifikatsii parametrov dinamicheskikh sistem na osnove sovmeshchennogo s fizicheskimi printsipami sinteza // Nelineynyy mir. 2012. № 11. S. 801-809.
  6. Lur'e A.I. Analiticheskaya mekhanika. M.: Gosudarstvennoe izdatel'stvo fiziko-matematicheskoy literatury, 1961. 453 c.
  7. Andrashitov D.S., Kostoglotov A.A., Lazarenko S.V. Regulyarizirovannyy algoritm mnogoparametricheskoy variatsionnoy identifikatsii dinamicheskikh sistem // Servis v Rossii i za rubezhom. 2011. №8 (27).
  8. Kostoglotov A.A., Kostoglotov A.I., Lazarenko S.V. Sintez optimal'nykh po bystrodeystviyu sistem na osnove ob''edinennogo printsipa maksimuma // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2007. T. 5. № 12. S. 34-40.
  9. Kostoglotov A.A., Lazarenko S.V. Metod resheniya obratnykh izmeritel'nykh zadach s primeneniem apparata negladkogo analiza // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2009. № 10. S. 38-45.
  10. Andrashitov D.S., Kostoglotov A.A., Kostoglotov A.I., Lazarenko S.V. Mnogoparametricheskaya variatsionnaya identifikatsiya dinamicheskikh sistem na osnove ob''edinennogo printsipa maksimuma // Informatsionno-izmeritel'nye i upravlyayushchie sistemy. 2012. № 10. S. 68-76.
  11. Kostoglotov A.A., Kostoglotov A.I., Lazarenko S.V. Ob''edinennyy printsip maksimuma v zadachakh otsenki parametrov dvizheniya manevriruyushchego letatel'nogo apparata // Radiotekhnika i elektronika. 2009. №4 (54). S. 450-457.
  12. Kuznetsov B.F. Stokhasticheskie modeli i metody analiza informatsionno-izmeritel'nykh sistem ASU TP. Argarsk. 2007. 180 s.
  13. Datchiki teplofizicheskikh i mekhanicheskikh parametrov: Spravochnik v 3-kh tomakh. T. 1 / pod obshch. red. Yu.N. Kopteva. M.: IPRZhR. 1998. 458 s.
  14. Patent № 2464615 (RF). Ustroystvo identifikatsii parametrov dinamicheskikh sistem na osnove variatsionnykh printsipov / D.S. Andrashitov, A.A. Kostoglotov, A.A. Kuznetsov, S.V. Lazarenko, N.A. Smetannikova.
  15. Andrashitov D.S., Deryabkin I.V., Kostoglotov A.A., Kuznetsov A.A., Lazarenko S.V. Sintez avtonomnogo upravleniya matematicheskim mayatnikom na osnove ob''edinennogo printsipa maksimuma // Izvestiya vysshikh uchebnykh zavedeniy. Severo-Kavkazskiy region. Tekhnicheskie nauki. 2010. №3(155). S. 9-15.
  16. Tikhonov A.N., Arsenin V.Ya. Metody resheniya nekorrektnykh zadach. M.: Nauka. 1986. 288 s