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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Identification Problems of Linear Stationary Systems. Part I. Prony's Method

Volume 43, Issue 8, 2011, pp. 1-18
DOI: 10.1615/JAutomatInfScien.v43.i8.10
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ABSTRACT

The survey of algorithms of solving of one of the simplest identification problems, which however has numerous applications, namely, the problem of determination of parameters of linear stationary system with continuous time by results of registration in discrete instants of time of transient process in this system is presented. We assume that the order of the system is known. Registration error is modeled by means of account of only fixed number of significant digits after decimal point. The considered algorithms are based on the idea of the Prony’s method about decomposition of the general identification problem to the problem of determination of exponent powers and subsequent finding of amplitudes of the corresponding modes. We note that according to the Prony’s method and the method of matrix pencils decomposition is realized by means of transition from the system with continuous time to the corresponding system with discrete time. Subsequent (inversed) transition from the system with discrete time to the system with continuous one in its turn can cause the additional errors of parameters estimates of initial system with continuous time.

CITED BY
  1. Suo Jianglei, Hu Zhijian, A novel robust adaptive controller of power system with wind power integration, 2013 IEEE International Conference of IEEE Region 10 (TENCON 2013), 2013. Crossref

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