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University of Illinois at Urbana-Champaign

On Size and Control: The Use of Dimensional Analysis in Controller Design

Abstract

dc:description

More importantly, dimensional analysis has yielded significant and novel insights into standard problems of control theory. Specifically, dimensional scaling constraints are shown to correlate to invariant Bode sensitivity conditions implicit in the governing model. Similar invariant equations have been studied under the framework of electrical network analysis since the 1960's; this thesis provides perhaps the first generalized solution. Extensions of the sensitivity result to problems of gain-scheduling, model reduction, adaptive control and identification, and nonlinear systems analysis are presented.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mechanical Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Brennan, Sean Nicholas
Contributors dc:contributor
  • Alleyne, Andrew G.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3069976
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/83774

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Brennan, Sean Nicholas. On Size and Control: The Use of Dimensional Analysis in Controller Design. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/83774