Frameworks in Problems of Structural Identification Systems

Frameworks in Problems of Structural Identification Systems

Автор: Nikolay Karabutov

Журнал: International Journal of Intelligent Systems and Applications(IJISA) @ijisa

Статья в выпуске: 1 vol.9, 2017 года.

Бесплатный доступ

The new approach to structural identification of nonlinear dynamic systems under uncertainty is pro-posed. It is based on the analysis of virtual frameworks (VF), reflecting a state of a nonlinear part system. Con-struction VF is based on obtaining special an informa-tional set describing a steady state of a nonlinear dynamic system. Introduction VF demands an estimation of structural identifiability of a system. This concept is associated with nonlinearity of system and properties VF. The method of an estimation of structural identifiability is proposed. The appearance of the insignificant virtual frameworks, not satisfying to the condition of structural identifiability, is considered. Algorithms for an estimation of a nonlinearity class on the basis of the analysis of sector sets are proposed. Methods and procedures of the estimation of framework single-valued and multiple-valued nonlinearities are proposed. The method of the structurally-frequency analysis is proposed and applied to validate the obtained solutions. VF is proposed for identification of an order and a spectrum of eigenvalues of a linear dynamic system. The possibility of application VF for the problem solving of identification static systems is shown.

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Framework, dynamic system, phase por-trait, structural identification, nonlinearity, structural identifiability, Lyapunov exponent, structurally-frequency analysis

Короткий адрес: https://sciup.org/15010888

IDR: 15010888

Список литературы Frameworks in Problems of Structural Identification Systems

  • S.N. Rasband, Chaotic Dynamics of Nonlinear Systems. Mineola, New York: Dover Publications, INC, 2015.
  • Advances and Applications in Chaotic Systems. Volume 6. Ed. S. Vaidyanathan, Ch. Volos. Springer, 2016.
  • N.N. Bautin, E.A. Leontovich, Methods and techniques of qualitative research of dynamic systems on a plane. Mos-cow: Nauka, 1990.
  • V.N. Shuman, Nonlinear dynamics of geomedium: transi-tional processes and critical phenomena, Geophysical journal, 2014, vol. 36, no. 6, pp. 129-141.
  • D.V. Anosov, “Roughness of geodesic flows on compact Riemannian manifolds of negative curvature,” Dokl. Akad. Nauk SSSR, 1962, vol. 145, pp. 707–709.
  • V.V. Gorbatsevich, “On Algebraic Anosov Diffeomor-phisms on Nilmanifolds,” Siberian Mathematical Journal, 2004, vol. 45, is. 5, pp. 821-839.
  • N. Karabutov, "Structural Identification of Dynamic Sys-tems with Hysteresis," International journal of intelligent systems and applications, 2016, vol. 8, no. 7, pp. 1-13.
  • K.F. Alvin, A.N. Robertson, G.W. Reich, K.C. Park, “Structural system identification: from reality to models,” Computers and Structures, 2003, vol. 81, pp. 1149-1176.
  • R. Pasquier, I. F. C. Smith, “Iterative structural identifica-tion framework for evaluation of existing structures,” En-gineering Structures, 2016, vol. 106, pp. 179-194.
  • A. Hyvärinen, K. Zhang, S. Shimizu, P.O. Hoyer, “Esti-mation of a Structural Vector Autoregression Model Using Non-Gaussianity,” Journal of Machine Learning Research, 2010, vol. 11, pp. 1709-1731.
  • G.F. Sirca Jr., H. Adeli, “System identification in structural engineering,” Scientia Iranica A, 2012, vol. 19, no. 6, pp. 1355–1364.
  • S. Yamada, A. Nishitani, “Structural system identification based on subsystem analyses,” In 12WCEE 2000: 12th World Conference on Earthquake Engineering, Auckland, New Zealand, Sunday 30 January - Friday 4 February 2000, 2000, pp. 1-8.
  • V. Namdeo, C.S. Manohar, “Nonlinear structural dynam-ical system identification using adaptive particle filters,” Journal of Sound and Vibration, 2007, vol. 306, pp. 524–563.
  • G. Kerschen, K. Worden, A.F. Volakis, J.C. Galingale, “Nonlinear System Identification in Structural Dynamics: Current Status and Future Directions,” https://www.google.ru/url?sa=t&rct=j&q=&esrc=s&source=web&cd=48&ved=0ahUKEwiHmaCg4prMAhURKywKHfhkCuU4K BAWCEcwBw&url=https%3A%2F%2Forbi.ulg.ac.be%2Fbitstream%2F2268%2F22625%2F1%2FC28 _2007_Orlando_IMAC_CurrentStatus.pdf&usg=AFQjCNHm9X4eHh3YEc70RnkRZVFZmzGcpQ&sig2 =GOBBSFeI-we3oUksAbALt1g&bvm=bv.119745492,d.bGg&cad=rjt, 2007.
  • N.N. Karabutov, "Structural identification of nonlinear static system on basis of analysis sector sets," International journal intelligent systems and applications, 2013, vol. 6, no. 1, pp. 1-10.
  • N. Karabutov, "Structural Identification of Nonlinear Dynamic Systems," International journal intelligent sys-tems and applications, 2015, vol, 7, no.9, pp. 1-11.
  • N.N. Karabutov, Adaptive identification of systems: In-formational synthesis. Moscow: URSS, 2016.
  • N.N. Karabutov, Structural Identification of Systems. The Analysis of Information Structures. URSS/ Librokom, Moscow, 2016.
  • N.N. Karabutov. Structural identification of static objects: Fields, structures, methods. Moscow: Librokom, 2016.
  • Y.E., Kazakov B.G. Dostupov, Statistical dynamics of nonlinear automatic systems. Moscow: Fizmatgis, 1962.
  • V.D. Furasov, Stability of motion, estimation and stabili-zation. Moscow: Nauka, 1977.
  • N. Karabutov, "Structures, Fields and Methods of Identi-fication of Nonlinear Static Systems in the Conditions of Uncertainty," Intelligent Control and Automation, 2010, vol.1 no.2, pp. 59-67.
  • G. Choquet, L'enseignement de la geometrie. Hermann,
  • Paris, 1964.
  • N. Karabutov, Methods of structural identification of non-linear objects. Saarbrucken: Palmarium Academic Pub-lishing, 2014.
  • F. Mosteller, J. Tukey, Data analysis and regression: A second course in statistics. Addison-Wesley Publishing Company. 1977.
  • N. Karabutov, "Structural identification of static processes with hysteresis nonlinearities in civil engineering," Journal of Civil Engineering and Science, 2012, vol. 1, no. 4, pp. 22-29.
  • N. Karabutov, "About structures of state systems identifi-cation of static object with hysteresis," International jour-nal of sensing, computing & control, 2012, vol. 2, no. 2, pp. 59-69.
  • L. Acho, "Hysteresis modeling and synchronization of a class of RC-OTA hysteretic-jounce-chaotic oscillators," Universal Journal of Applied Mathematics, 2013, vol. 1, n0. 2, pp. 82-85.
  • N. Karabutov, "Structural Methods of Estimation Lya-punov Exponents Linear Dynamic System," International journal intelligent systems and applications, 2015, vol, 7, no.10, pp. 1-11.
  • B.F. Bylov, R.E. Vinograd, D.M. Grobman, and V.V. Nemytsky, Theory of Lyapunov indexes and its application to stability problems. Nauka: Moscow, 1966.
  • N.A. Izobov, Introduction in theory of Lyapunov indexes. Minsk: BGU, 2006.
  • N.N. Karabutov, “Deriving a dynamic system eigenvalue spectrum under conditions of uncertainty by processing measurements,” Measurement Techniques, 2009, vol. 52, no. 6, pp. 571-579.
  • N. Karabutov, "Decision-making on structure of univalent nonlinearities in system of structural identification of static systems," International journal of sensing, computing & control, 2011, vol. 1, no. 2, pp. 103-110.
  • N. Karabutov, “Identification of parametrical restrictions in static systems in conditions of uncertainty," International journal of intelligent systems and applications, 2013, vol. 5, no. 4, pp. 43-54.
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