{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19607"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19607","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Simplex-type variable structure controllers for stability and performance","abstract":"This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases.","abstract_html":"This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases.","abstract_has_math":false,"creators":["Diong, Billy Ming"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Medanic, Juraj V."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:12:51Z","date_published":"2011-05-07T12:12:51Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Engineering, Electronics and Electrical","Engineering, System Science"],"languages":["eng"],"rights":["Copyright 1992 Diong, Billy Ming"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9305507","(UMI)AAI9305507"],"render_values":[{"text":"AAI9305507","href":null,"code":true},{"text":"(UMI)AAI9305507","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19607","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Medanic, Juraj V."]},{"key":"dc:creator","label":"Author","values":["Diong, Billy Ming"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:12:51Z","10000-01-01","1992"]},{"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","Engineering, System Science"]}]},{"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 Diong, Billy Ming"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9305507","(UMI)AAI9305507","http://hdl.handle.net/2142/19607"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases.","In both of these cases, it is shown that the sliding mode dynamics associated with the variable structure control system (VSCS) can be completely parameterized in terms of a free parameter matrix. Having reduced the problem to one of selecting the free matrix, we show that this is actually equivalent to the problem of designing either an ${\\cal H}\\sb\\infty$-norm bounding state feedback control or an ${\\cal H}\\sb\\infty$-norm bounding output feedback control for a linear system. Design procedures are given, and it is shown how a reduced-order (less than the order of the plant) simplex controller can be designed to guarantee robust stability as well as a certain level of disturbance attenuation for the system in the sliding mode.","Made available in DSpace on 2011-05-07T12:12:51Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9305507.pdf: 4160395 bytes, checksum: 04ed3dd341a95a19dd61445c734e8c77 (MD5) Previous issue date: 1992","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:11Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:15:52-05:00 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":["Simplex-type variable structure controllers for stability and performance"]}]}],"canonical_facts":{"dc:contributor":["Medanic, Juraj V."],"dc:creator":["Diong, Billy Ming"],"dc:date":["2011-05-07T12:12:51Z","10000-01-01","1992"],"dc:description":["This thesis considers the problem of guaranteeing robust stability as well as performance for plants that can be modelled as linear systems which are perturbed by nonmatching disturbances and parametric uncertainties. The use of simplex-type variable structure controllers (simplex controllers) is analyzed and results are given for both the state feedback and dynamic output feedback cases.","In both of these cases, it is shown that the sliding mode dynamics associated with the variable structure control system (VSCS) can be completely parameterized in terms of a free parameter matrix. Having reduced the problem to one of selecting the free matrix, we show that this is actually equivalent to the problem of designing either an ${\\cal H}\\sb\\infty$-norm bounding state feedback control or an ${\\cal H}\\sb\\infty$-norm bounding output feedback control for a linear system. Design procedures are given, and it is shown how a reduced-order (less than the order of the plant) simplex controller can be designed to guarantee robust stability as well as a certain level of disturbance attenuation for the system in the sliding mode.","Made available in DSpace on 2011-05-07T12:12:51Z (GMT). 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