Alexandria Digital Research Library

Analysis of systems in buildings using spectral Koopman operator methods

Author:
Georgescu, Michael Vincent
Degree Grantor:
University of California, Santa Barbara. Mechanical Engineering
Degree Supervisor:
Igor Mezic
Place of Publication:
[Santa Barbara, Calif.]
Publisher:
University of California, Santa Barbara
Creation Date:
2014
Issued Date:
2014
Topics:
Engineering, Mechanical
Keywords:
Koopman Operator
Data Analysis
Data Visualizaton
Genres:
Dissertations, Academic and Online resources
Dissertation:
Ph.D.--University of California, Santa Barbara, 2014
Description:

This thesis presents a viewpoint for analyzing data-based systems using an operator-theoretic approach based on The Koopman, or composition, operator. The presented approach allows processes from measured systems to be studied in a linear setting even if the system of interest is nonlinear or ill-described. In this work we focus on numerical methods for problems emerging from building systems analysis; a setting where systems are high-dimensional and described by large data-sets (measured or simulation), but for which equations describing the system cannot be expressed analytically. In particular we present a variety of novel analysis techniques based on spectral properties of the Koopman operator that can be applied to a wide variety of applications ranging from the monitoring/visualization of spatially extended systems, model order reduction, and model calibration. Each chapter is dedicated to one specific application and the analytic tools developed for it. Numerous examples are presented to illustrates the capabilities of the framework.

Physical Description:
1 online resource (180 pages)
Format:
Text
Collection(s):
UCSB electronic theses and dissertations
ARK:
ark:/48907/f3fj2dzm
ISBN:
9781321567823
Catalog System Number:
990045118280203776
Rights:
Inc.icon only.dark In Copyright
Copyright Holder:
Michael Georgescu
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