Structural Identification of Nonlinear Dynamic Systems

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Nikolay Karabutov 1,*

1. Moscow state engineering university of information technology, radio engineering, electronics/Department of Problems Control; Financial University under the Government of the Russian Federation/ Department of Mathematics, Moscow, Russia

* Corresponding author.


Received: 6 Jan. 2015 / Revised: 20 Apr. 2015 / Accepted: 15 May 2015 / Published: 8 Aug. 2015

Index Terms

Structural Identification, Structure, Dynamic System, Nonlinearity, Secant, Algorithm, Saturation Function, Structure-Frequency Analysis


The method of structural identification nonlinear dynamic systems is offered in the conditions of uncertainty. The method of construction the set containing the data about a nonlinear part of system is developed. The concept of identifiability system for a solution of a problem structural identification is introduced. The special class of structures S for a solution of problem identification is introduced. We will show that the system is identified, if the structure S is closed. The method of estimation the class of nonlinear functions on the basis of the analysis sector sets for the offered structure S is described. We showed, as on S a preliminary conclusion about a form of nonlinear function to make. We offer algorithms of structural identification of single-valued and many-valued nonlinearities. Examples of structural identification of nonlinear systems are considered.

Cite This Paper

Nikolay Karabutov, "Structural Identification of Nonlinear Dynamic Systems", International Journal of Intelligent Systems and Applications(IJISA), vol.7, no.9, pp.1-11, 2015. DOI:10.5815/ijisa.2015.09.01


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