On Size and Control: The Use of Dimensional Analysis in Controller Design
Brennan, Sean Nicholas
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https://hdl.handle.net/2142/83774
Description
Title
On Size and Control: The Use of Dimensional Analysis in Controller Design
Author(s)
Brennan, Sean Nicholas
Issue Date
2002
Doctoral Committee Chair(s)
Alleyne, Andrew G.
Department of Study
Mechanical Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, System Science
Language
eng
Abstract
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.
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