{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/83774"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/83774","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On Size and Control: The Use of Dimensional Analysis in Controller Design","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.","abstract_html":"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&#x27;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.","abstract_has_math":false,"creators":["Brennan, Sean Nicholas"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Alleyne, Andrew G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T21:12:01Z","date_published":"2015-09-25T21:12:01Z","updated_at":"2026-07-22T22:26:21Z","subjects":["Engineering, System Science"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3069976"],"render_values":[{"text":"(MiAaPQ)AAI3069976","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/83774","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Alleyne, Andrew G."]},{"key":"dc:creator","label":"Author","values":["Brennan, Sean Nicholas"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T21:12:01Z","10000-01-01","2002"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, System Science"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/83774","(MiAaPQ)AAI3069976"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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."]},{"key":"dc:title","label":"Title","values":["On Size and Control: The Use of Dimensional Analysis in Controller Design"]}]}],"canonical_facts":{"dc:contributor":["Alleyne, Andrew G."],"dc:creator":["Brennan, Sean Nicholas"],"dc:date":["2015-09-25T21:12:01Z","10000-01-01","2002"],"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.","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."],"dc:identifier":["http://hdl.handle.net/2142/83774","(MiAaPQ)AAI3069976"],"dc:language":["eng"],"dc:subject":["Engineering, System Science"],"dc:title":["On Size and Control: The Use of Dimensional Analysis in Controller Design"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:21Z"}