Nikolay Karabutov

Structural Identification of Systems with Distributed Lag

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Author(s)

1. Dept. of Problems Control, Moscow State Engineering University of Radio Engineering, Electronics and Automation, Dept. of Mathematics, Financial University under the Government of the Russian Federation, Moscow, Russia

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2013.11.01

Received: 3 Feb. 2013 / Revised: 11 May 2013 / Accepted: 5 Aug. 2013 / Published: 8 Oct. 2013

Index Terms

Structural Identification, Distributed Lag, Virtual Portrait, Decision-Making, Parametrical Identification

Abstract

The problem of structural identification of systems with the distributed lag in the conditions of uncertainty is considered. Known statistical approaches are laborious and not always allow making the decision on lag structure. Therefore in work for the problem decision the special class of static structures (SS) (virtual portraits) explored system is introduced. Process of the decision of a problem consists of two steps. At the first step set of secants for initial system is under construction. Completeness of set of secants is a sign of linearity of system. Nonfulfilment of conditions of completeness is a sign of nonlinearity of system. Estimation of nonlinearity of system execute on an indicator of level of nonlinearity of the system, offered in work. At the second step the special structural space is introduced and is defined SS for a nonlinear part of system. The estimation of nonlinear properties of system is executed on the basis of identification of parameters of set of secants SS. Criteria and algorithms of decision-making on structure of a lag on the basis of the analysis of virtual portraits are offered. The analogue of criterion of Durbin-Watson is offered. The received results are generalized on a case of the distributed lag in input and output variables of system. It is shown that to structural identification of systems with the distributed lag we will not apply the analysis of sector sets. The approach to parametrical identification of system with the distributed lag in the conditions of uncertainty is offered.

Cite This Paper

Nikolay Karabutov, "Structural Identification of Systems with Distributed Lag", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.11, pp.1-10, 2013. DOI:10.5815/ijisa.2013.11.01

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