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System identification for interconne...

University of California, Berkeley.

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System identification for interconnected nonlinear systems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	System identification for interconnected nonlinear systems./
Author:	Hsu, Kenneth.
Description:	111 p.
Notes:	Adviser: Kameshwar Poolla.
Contained By:	Dissertation Abstracts International69-09B.
Subject:	Engineering, System Science. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3331649
ISBN:	9780549834694

System identification for interconnected nonlinear systems.
Hsu, Kenneth.

System identification for interconnected nonlinear systems. - 111 p.

Adviser: Kameshwar Poolla.

Thesis (Ph.D.)--University of California, Berkeley, 2008.

This dissertation is concerned with the identification of interconnected nonlinear systems. Specifically, we focus on systems composed of linear dynamical components and static nonlinear maps.

ISBN: 9780549834694Subjects--Topical Terms:

1018128
Engineering, System Science.

System identification for interconnected nonlinear systems.
LDR:03379nmm 2200313 a 45 001 874296
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008 100824s2008 ||||||||||||||||| ||eng d
020 $a 9780549834694
035 $a (UMI)AAI3331649
035 $a AAI3331649
040 $a UMI $c UMI
100 1 $a Hsu, Kenneth. $3 1043564
245 1 0 $a System identification for interconnected nonlinear systems.
300 $a 111 p.
500 $a Adviser: Kameshwar Poolla.
500 $a Source: Dissertation Abstracts International, Volume: 69-09, Section: B, page: 5753.
502 $a Thesis (Ph.D.)--University of California, Berkeley, 2008.
520 $a This dissertation is concerned with the identification of interconnected nonlinear systems. Specifically, we focus on systems composed of linear dynamical components and static nonlinear maps.
520 $a The study of nonlinear system identification is still in its early stages, and thus tackling the most general problems should not be an immediate goal. We can find great value in studying particular classes of systems to obtain computationally tractable algorithms and insightful theoretical results. This, together with past work and experimental studies, will provide us with the necessary analytical and computational tools to better understand the large variety of practical identification problems that we encounter today.
520 $a We make use of the linear fractional transformation framework to capture all interconnected nonlinear systems into a single unified setting. This allows us to study various aspects of system identification problems such as algorithms, identifiability, persistence of excitation, experiment design, and convergence, from the same perspective for a large class of systems. Results pertaining to subclasses of the systems that we consider can then be recovered as special cases of this general treatment.
520 $a In our formulation, we make two key assumptions: the linear components of the interconnection are known, and the inputs to all the nonlinear functions are measurable. Even under these restrictions, the class of systems we consider is rich and encompasses many practical problems of interest. Moreover, we argue that measurability of the inputs to the nonlinear functions is a key ingredient towards the computational tractability of any nonlinear system identification algorithm. Under these assumptions, we propose an identification algorithm that systematically incorporates a priori interconnection information and enforces the requirement that the nonlinearities represent static mappings. Our estimates are offered nonparametrically so that no prejudices are incurred as the result of artificial parameterizations, and it is shown that this algorithm reduces to a linear least squares problem.
520 $a The estimated nonlinearities are proven to converge to their true values under certain conditions. A critical requirement for convergence is one that subsumes the standard notions of identifiability and persistence of excitation. We provide sufficient conditions and computational tests to illuminate these prerequisites for convergence.
590 $a School code: 0028.
650 4 $a Engineering, System Science. $3 1018128
690 $a 0790
710 2 $a University of California, Berkeley. $3 687832
773 0 $t Dissertation Abstracts International $g 69-09B.
790 $a 0028
790 1 0 $a Poolla, Kameshwar, $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3331649