Simultaneous identification of the all parameters for the Lorenz chaotic system

Authors

  • Anton Guda
  • Andrey Zimoglyad

DOI:

https://doi.org/10.34185/1562-9945-6-125-2019-06

Keywords:

chaotic systems, parametric identification, non-linear dynamic system identification

Abstract

Drawbacks of the adaptive-searching methods, related with the problem of multi-parameter dynamic system identification are explored and highlighted. New approach, based on “moving regression” method is proposed. New approach is a hybrid method; it combines features of the “moving average” method, linear regression method and differential system representation. This combination allows to simultaneously determining complex dynamic system parameters, in spite of its chaotic behavior and measurement errors. New method possibilities are explored via identification process numerical simulation for the Lorenz chaotic system.

References

Multi-model methods and parameters estimation approaches on non-linear dynamic system identification / Guda A.I., Mikhalyov A.I. // Регіональний міжвузівський збірник наукових праць «Системні технології», № 2’(103) 2016 – P. 57–62.

Sprott J.C. Strange attractors: creating patterns in chaos. — MT Books; 1993. — 350 с.

Method of Lorenz systems parametric identification by the searching models ensemble objects / Guda A.I., Mikhalyov A.I. // Scientific and Technical Conference “Computer Sciences and Information Technologies” (CSIT) – 2015 – P. 73–75.

Adaptive-search system identification adjusting in application to chaotic objects / Guda A.I., Mikhalyov A.I. // Adaptive systems of automatic control. – 2013. – № 22(42). – P. 134–139. (in russian).

Guda A.I., Mikhalyov A.I. Criteria synthesis problem for the chaotic systems identification // Proceedings of the 2016 IEEE 1st International Conference on Data Stream Mining and Processing, DSMP 2016, — Lviv, Ukraine, 08.2016. — С. 125—128. — DOI: 10.1109/ DSMP.2016.7583522

Guda A.I., Mikhalyov A.I. Multi-models identification methods comparison in the non-linear dynamic system identification task // Радиоэлектроника, информатика, управление. — Запорiжжя, ЗНТУ, 2016. — № 4. — С. 112—119. — DOI: 10.15588/1607-3274-2016-4-14.

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Published

2019-12-27