{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23411"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23411","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Adaptive control of nonlinear systems","abstract":"In the last few years, adaptive control of nonlinear systems has emerged as an important area of research, with possible applications in areas as diverse as robotic systems, electric motors, chemical processes, and automotive suspensions. Many of the existing results employ design methods and proof techniques borrowed from the adaptive linear control literature. As a consequence, they impose linear growth constraints on the nonlinearities in order to guarantee global stability. Such constraints bypass the true nonlinear problem and exclude many practically important systems. Furthermore, most existing results are based on the often unrealistic assumption of full-state feedback.","abstract_html":"In the last few years, adaptive control of nonlinear systems has emerged as an important area of research, with possible applications in areas as diverse as robotic systems, electric motors, chemical processes, and automotive suspensions. Many of the existing results employ design methods and proof techniques borrowed from the adaptive linear control literature. As a consequence, they impose linear growth constraints on the nonlinearities in order to guarantee global stability. Such constraints bypass the true nonlinear problem and exclude many practically important systems. Furthermore, most existing results are based on the often unrealistic assumption of full-state feedback.","abstract_has_math":false,"creators":["Kanellakopoulos, Ioannis"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical and Computer Engineering","degree_department":null,"school":null,"contributors":["Kokotovic, P.V."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T14:13:14Z","date_published":"2011-05-07T14:13:14Z","updated_at":"2026-07-22T22:25:21Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1992 Kanellakopoulos, Ioannis"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9305573","(UMI)AAI9305573"],"render_values":[{"text":"AAI9305573","href":null,"code":true},{"text":"(UMI)AAI9305573","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23411","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kokotovic, P.V."]},{"key":"dc:creator","label":"Author","values":["Kanellakopoulos, Ioannis"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T14:13:14Z","10000-01-01","1992"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical and Computer 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 1992 Kanellakopoulos, Ioannis"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9305573","(UMI)AAI9305573","http://hdl.handle.net/2142/23411"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In the last few years, adaptive control of nonlinear systems has emerged as an important area of research, with possible applications in areas as diverse as robotic systems, electric motors, chemical processes, and automotive suspensions. Many of the existing results employ design methods and proof techniques borrowed from the adaptive linear control literature. As a consequence, they impose linear growth constraints on the nonlinearities in order to guarantee global stability. Such constraints bypass the true nonlinear problem and exclude many practically important systems. Furthermore, most existing results are based on the often unrealistic assumption of full-state feedback.","In this thesis we construct fundamentally new systematic procedures for adaptive nonlinear control design, which yield global results without imposing any type of growth constraints on the nonlinearities and without requiring full-state feedback. This is achieved by identifying a set of basic tools from nonlinear and adaptive control and interlacing them in an intricate fashion to produce new design tools, which are used as building blocks in our design procedures.","Each of these new procedures is applicable to nonlinear systems which can be expressed in a special canonical form. Since models of nonlinear systems are often derived from physical principles and given in specific coordinates, it may not always be obvious whether or not the nonlinear system at hand can be transformed into one of these canonical forms. Using differential geometric conditions, we derive coordinate-free characterizations for many of these forms, thereby identifying the classes of systems to which the corresponding design procedures are applicable.","Made available in DSpace on 2011-05-07T14:13:14Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9305573.pdf: 6996040 bytes, checksum: fd1ea295b93256b00286685d47b92f00 (MD5) Previous issue date: 1992","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:04:17Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:30:42-05:00 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":["Adaptive control of nonlinear systems"]}]}],"canonical_facts":{"dc:contributor":["Kokotovic, P.V."],"dc:creator":["Kanellakopoulos, Ioannis"],"dc:date":["2011-05-07T14:13:14Z","10000-01-01","1992"],"dc:description":["In the last few years, adaptive control of nonlinear systems has emerged as an important area of research, with possible applications in areas as diverse as robotic systems, electric motors, chemical processes, and automotive suspensions. Many of the existing results employ design methods and proof techniques borrowed from the adaptive linear control literature. As a consequence, they impose linear growth constraints on the nonlinearities in order to guarantee global stability. Such constraints bypass the true nonlinear problem and exclude many practically important systems. Furthermore, most existing results are based on the often unrealistic assumption of full-state feedback.","In this thesis we construct fundamentally new systematic procedures for adaptive nonlinear control design, which yield global results without imposing any type of growth constraints on the nonlinearities and without requiring full-state feedback. This is achieved by identifying a set of basic tools from nonlinear and adaptive control and interlacing them in an intricate fashion to produce new design tools, which are used as building blocks in our design procedures.","Each of these new procedures is applicable to nonlinear systems which can be expressed in a special canonical form. Since models of nonlinear systems are often derived from physical principles and given in specific coordinates, it may not always be obvious whether or not the nonlinear system at hand can be transformed into one of these canonical forms. Using differential geometric conditions, we derive coordinate-free characterizations for many of these forms, thereby identifying the classes of systems to which the corresponding design procedures are applicable.","Made available in DSpace on 2011-05-07T14:13:14Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9305573.pdf: 6996040 bytes, checksum: fd1ea295b93256b00286685d47b92f00 (MD5) Previous issue date: 1992","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T15:04:17Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:30:42-05:00 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":["AAI9305573","(UMI)AAI9305573","http://hdl.handle.net/2142/23411"],"dc:language":["eng"],"dc:rights":["Copyright 1992 Kanellakopoulos, Ioannis"],"dc:subject":["Engineering, Electronics and Electrical"],"dc:title":["Adaptive control of nonlinear systems"],"dc:type":["text"],"thesis:degree_discipline":["Electrical and Computer 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"}