{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/69366"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/69366","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Robustness in Feedback Systems (Frequency Domain)","abstract":"The research in this dissertation is motivated by the basic question "What can and cannot be accomplished by feedback control?" In particular, this dissertation shall address three basic issues: (a) Determining which types of controllers are optimal for certain classes of control problems, (b) Investigating the absolute limitations of feedback control for multiobjective problems and the performance tradeoffs available between the various objectives, and (c) Developing efficient methods for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty.","abstract_html":"The research in this dissertation is motivated by the basic question "What can and cannot be accomplished by feedback control?" In particular, this dissertation shall address three basic issues: (a) Determining which types of controllers are optimal for certain classes of control problems, (b) Investigating the absolute limitations of feedback control for multiobjective problems and the performance tradeoffs available between the various objectives, and (c) Developing efficient methods for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty.","abstract_has_math":false,"creators":["Ting, Thomas Leo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-15T19:05:22Z","date_published":"2014-12-15T19:05:22Z","updated_at":"2026-07-22T22:26:00Z","subjects":["Engineering, Electronics and Electrical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8721770"],"render_values":[{"text":"(UMI)AAI8721770","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/69366","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ting, Thomas Leo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-15T19:05:22Z","10000-01-01","1987"]},{"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":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/69366","(UMI)AAI8721770"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The research in this dissertation is motivated by the basic question "What can and cannot be accomplished by feedback control?" In particular, this dissertation shall address three basic issues: (a) Determining which types of controllers are optimal for certain classes of control problems, (b) Investigating the absolute limitations of feedback control for multiobjective problems and the performance tradeoffs available between the various objectives, and (c) Developing efficient methods for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty.","With regard to the issues identified above, the principal contributions of this dissertation can be outlined as follows. First, it is shown that for the problem of robustly stabilizing a family of plants featuring dynamic uncertainty, linear time-invariant controllers perform as well as arbitrary nonlinear time-varying controllers. Second, a new controller synthesis procedure called residue iteration is developed for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty. This method is simpler and numerically more attractive than any previously existing technique. Finally, an algorithm is presented which enables one to compute an absolute upper bound on the performance levels attainable in multiobjective H$\\sb\\infty$-optimization problems.","Made available in DSpace on 2014-12-15T19:05:22Z (GMT). No. of bitstreams: 1 8721770.pdf: 3223966 bytes, checksum: 95771fa675dc860c10ea85d969cbacd7 (MD5) Previous issue date: 1987","Embargo set by: Seth Robbins for item 69532 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","103 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987."]},{"key":"dc:title","label":"Title","values":["Robustness in Feedback Systems (Frequency Domain)"]}]}],"canonical_facts":{"dc:creator":["Ting, Thomas Leo"],"dc:date":["2014-12-15T19:05:22Z","10000-01-01","1987"],"dc:description":["The research in this dissertation is motivated by the basic question "What can and cannot be accomplished by feedback control?" In particular, this dissertation shall address three basic issues: (a) Determining which types of controllers are optimal for certain classes of control problems, (b) Investigating the absolute limitations of feedback control for multiobjective problems and the performance tradeoffs available between the various objectives, and (c) Developing efficient methods for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty.","With regard to the issues identified above, the principal contributions of this dissertation can be outlined as follows. First, it is shown that for the problem of robustly stabilizing a family of plants featuring dynamic uncertainty, linear time-invariant controllers perform as well as arbitrary nonlinear time-varying controllers. Second, a new controller synthesis procedure called residue iteration is developed for synthesizing robustly stabilizing controllers for families of plants featuring block-structured uncertainty. This method is simpler and numerically more attractive than any previously existing technique. Finally, an algorithm is presented which enables one to compute an absolute upper bound on the performance levels attainable in multiobjective H$\\sb\\infty$-optimization problems.","Made available in DSpace on 2014-12-15T19:05:22Z (GMT). No. of bitstreams: 1 8721770.pdf: 3223966 bytes, checksum: 95771fa675dc860c10ea85d969cbacd7 (MD5) Previous issue date: 1987","Embargo set by: Seth Robbins for item 69532 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","103 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987."],"dc:identifier":["http://hdl.handle.net/2142/69366","(UMI)AAI8721770"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Robustness in Feedback Systems (Frequency Domain)"],"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":"2026-07-22T22:26:00Z"}