{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23085"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23085","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The design of low-order controllers using the Frobenius-Hankel norm","abstract":"The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.","abstract_html":"The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.","abstract_has_math":false,"creators":["Ramaker, Russell Allen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Perkins, William R."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T14:01:38Z","date_published":"2011-05-07T14:01:38Z","updated_at":"2026-07-22T22:25:21Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1990 Ramaker, Russell Allen"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9026299","(UMI)AAI9026299"],"render_values":[{"text":"AAI9026299","href":null,"code":true},{"text":"(UMI)AAI9026299","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23085","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Perkins, William R."]},{"key":"dc:creator","label":"Author","values":["Ramaker, Russell Allen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T14:01:38Z","10000-01-01","1990"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical 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, Electronics and Electrical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1990 Ramaker, Russell Allen"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9026299","(UMI)AAI9026299","http://hdl.handle.net/2142/23085"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.","To address this problem, an approach using the Frobenius-Hankel (FH) norm is developed. The FH norm is shown to lead to attractive robustness and performance properties. A parameter optimization method is developed which provides an iterative method for determining the FH optimal parameters of a dynamic system using a gradient approach.","Two distinct controller design methods are presented which make use of the FN optimization procedure. The first approach determines a controller which minimizes the FH norm of the closed loop system. While the solution method is iterative, the procedure proves to be straightforward to apply.","\"The second approach uses projective controls as a first step in the design. This allows the designer to take advantage of the attractive features of projective controls. Design parameters in the controllers are then determined by solving the FH optimization problem called the \"\"auxiliary minimization problem.\"\"\"","Examples of each approach are given, including a full design problem for the control of a flexible structure using the projective controls approach. The resulting improvement in the disturbance attenuation of the system using only second order controllers points to the effectiveness of this design procedure.","Made available in DSpace on 2011-05-07T14:01:38Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9026299.pdf: 2427962 bytes, checksum: ed4a91f5538ae87b7945b9ca7eb14d24 (MD5) Previous issue date: 1990","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:02:04Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:29:29-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["The design of low-order controllers using the Frobenius-Hankel norm"]}]}],"canonical_facts":{"dc:contributor":["Perkins, William R."],"dc:creator":["Ramaker, Russell Allen"],"dc:date":["2011-05-07T14:01:38Z","10000-01-01","1990"],"dc:description":["The problem of determining robust, low order controllers which achieve stability and disturbance attenuation is considered. This is an important problem for the control of very high order structures where a full order controller is inappropriate.","To address this problem, an approach using the Frobenius-Hankel (FH) norm is developed. The FH norm is shown to lead to attractive robustness and performance properties. A parameter optimization method is developed which provides an iterative method for determining the FH optimal parameters of a dynamic system using a gradient approach.","Two distinct controller design methods are presented which make use of the FN optimization procedure. The first approach determines a controller which minimizes the FH norm of the closed loop system. While the solution method is iterative, the procedure proves to be straightforward to apply.","\"The second approach uses projective controls as a first step in the design. This allows the designer to take advantage of the attractive features of projective controls. Design parameters in the controllers are then determined by solving the FH optimization problem called the \"\"auxiliary minimization problem.\"\"\"","Examples of each approach are given, including a full design problem for the control of a flexible structure using the projective controls approach. The resulting improvement in the disturbance attenuation of the system using only second order controllers points to the effectiveness of this design procedure.","Made available in DSpace on 2011-05-07T14:01:38Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9026299.pdf: 2427962 bytes, checksum: ed4a91f5538ae87b7945b9ca7eb14d24 (MD5) Previous issue date: 1990","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:02:04Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:29:29-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9026299","(UMI)AAI9026299","http://hdl.handle.net/2142/23085"],"dc:language":["eng"],"dc:rights":["Copyright 1990 Ramaker, Russell Allen"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["The design of low-order controllers using the Frobenius-Hankel norm"],"dc:type":["text"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:21Z"}