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On noncausal identification of nonstationary stochastic systems

Abstract

In this paper we consider the problem of noncausal identification of nonstationary,linear stochastic systems, i.e., identification based on prerecorded input/output data. We show how several competing weighted least squares parameter smoothers, differing in memory settings, can be combined together to yield a better and more reliable smoothing algorithm. The resulting parallel estimation scheme automatically adjusts its smoothing bandwidth to the unknown, and possibly time-varying, rate of nonstationarity of the identified system. It also allows one to account for the distribution of measurement noise, and in particular - to cope with heavy-tailed disturbances, such as Laplacian noise, or light-tailed disturbances, such as uniform noise.

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Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
18th IFAC World Congress, August 28 - September 2, 2011 Milano. - [CD] strony 7803 - 7808
Language:
English
Publication year:
2011
Bibliographic description:
Niedźwiecki M., Gackowski S.: On noncausal identification of nonstationary stochastic systems// 18th IFAC World Congress, August 28 - September 2, 2011 Milano. - [CD]/ ed. eds. S. Bittanti, A. Cenedese, S. Zampieri Włochy: IFAC-International Federation of Automatic Control, 2011, s.7803-7808
DOI:
Digital Object Identifier (open in new tab) 10.3182/20110828-6-it-1002.00386
Verified by:
Gdańsk University of Technology

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