University of Illinois Urbana-Champaign

Model reduction of linear and nonlinear systems using balancing methods

Chikkerur, Vishal

Content Files
Chikkerur_Vishal.pdf

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https://hdl.handle.net/2142/16914

Description

Title
Model reduction of linear and nonlinear systems using balancing methods
Author(s)
Chikkerur, Vishal
Issue Date
2010-08-20T18:01:40Z
Director of Research (if dissertation) or Advisor (if thesis)
Namachchivaya, N. Sri
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2010-08-20T18:01:40Z
Keyword(s)
  • Nonlinear
  • Balancing
  • Systems
  • Vortices
  • Filtering
  • Particle
  • Fokker-Planck
  • Control
  • Noise
Abstract
This thesis presents a review of the existing body of knowledge pertaining to model reduction using balancing techniques. A simple linear system is studied in a noisy environment with noisy sensors and linear balancing techniques are performed. Following, a more complex system in that of a spring-mass system with nonlinear damping is studied using the analysis set forth by J.Scherpen [11] and A.Newman [8]. The connection between linear and nonlinear balancing techniques is established and possible existant methods that reduce the complexity of the analysis involved are presented. We consider nonlinear filtering theory in the context of 2-point Vortex motion with inroads made towards the prospect of data fusion in regards to the data provided by a number of Lagrangian tracers.
Graduation Semester
2010-08
Permalink
http://hdl.handle.net/2142/16914
Copyright and License Information
Copyright 2010 Vishal Chikkerur

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