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Alleyne, Andrew G. Brennan, Sean Nicholas 2015-09-25T21:12:01Z 2015-09-25T21:12:01Z 10000-01-01 2002 2002 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. Made available in DSpace on 2015-09-25T21:12:01Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3069976.pdf: 14472533 bytes, checksum: 06557bb9f952c8baef7e6649039bf932 (MD5) Previous issue date: 2002 Embargo set by: Seth Robbins for item 85055 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 351 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002. http://hdl.handle.net/2142/83774 (MiAaPQ)AAI3069976 eng Engineering, System Science On Size and Control: The Use of Dimensional Analysis in Controller Design text Mechanical Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.