{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/24370"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/24370","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Closed-loop analysis and feedback design in the presence of limited information","abstract":"Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:23Z","abstract_html":"Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:23Z","abstract_has_math":false,"creators":["Li, Dapeng"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Hovakimyan, Naira","Kumar, P.R.","Dullerud, Geir E.","Mehta, Prashant G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-25T14:37:16Z","date_published":"2011-05-25T14:37:16Z","updated_at":"2026-07-22T22:25:23Z","subjects":["Control Theory","Information Theory","Robust Control","Sensitivity Function","Stochastic Control"],"languages":["en"],"rights":["Copyright 2011 Dapeng Li"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/24370","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hovakimyan, Naira","Kumar, P.R.","Dullerud, Geir E.","Mehta, Prashant G."]},{"key":"dc:creator","label":"Author","values":["Li, Dapeng"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-25T14:37:16Z","2013-05-26T10:00:23Z","2011-05"]},{"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":["Control Theory","Information Theory","Robust Control","Sensitivity Function","Stochastic Control"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2011 Dapeng Li"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/24370"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:23Z","Recent progress in communication technologies and their use in feedback control systems motivate to look deeper into the interplay of control and communication in the closed-loop feedback architecture. Among several research directions on this topic, a great deal of attention has been given to the fundamental limitations in the presence communication constraints. Entropy rate inequalities corresponding to the information flux in a typical causal closed loop have been derived towards obtaining a Bode-like integral formula. This work extends the discrete-time result to continuous-time systems. The main challenge in this extension is that Kolmogorov's entropy rate equality, which is fundamental to the derivation of the result in discrete-time case, does not hold for continuous-time systems. Mutual information rate instead of entropy rate is used to represent the information flow in the closed-loop, and a limiting relationship due to Pinsker towards obtaining the mutual information rate between two continuous time processes from their discretized sequence is used to derive the Bode-like formula. The results are further extended to switched systems and a Bode integral formula is obtained under the assumption that the switching sequence is an ergodic Markov chain. To enable simplified calculation of the resulting lower bound, some Lie algebraic conditions are developed. Besides analysis results, this dissertation also includes joint control/communication design for closed-loop stability of performance. We consider the stabilization problem within Linear Quadratic Regulator framework, where a control gain is chosen to minimize a linear quadratic cost functional while subject to the input power constraint imposed by an additive Gaussian channel which closes the loop. Also focused on Gaussian channel, the channel noise attenuation problem is addressed, by using H-infinity/H2 methodology. Similar feedback optimal estimation problem is solved by using Kalman filtering theory.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-04-22T17:03:13Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Dapeng_LI.pdf: 826056 bytes, checksum: 0d4764f334a1babf5d569537c00a694c (MD5)","Made available in DSpace on 2011-05-25T14:37:16Z (GMT). No. of bitstreams: 2 Dapeng_Li.pdf: 826331 bytes, checksum: c51746ca8413cbe91932f30270b4f002 (MD5) license.txt: 4055 bytes, checksum: 386c7adf17741cdecc4ddc736debd149 (MD5)","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2011-05-25T14:41:39Z Item is restricted until 2013-05-25T14:41:28Z","Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:22Z Item was in collections: University of Illinois Dissertations and Theses (ID: 204) Dissertations and Theses - Mechanical Science and Engineering (ID: 675) No. of bitstreams: 3 Dapeng_Li.pdf.txt: 173632 bytes, checksum: d424868ed788b79a2c9038a1a2e6ca63 (MD5) Dapeng_Li.pdf: 826331 bytes, checksum: c51746ca8413cbe91932f30270b4f002 (MD5) license.txt: 4055 bytes, checksum: 386c7adf17741cdecc4ddc736debd149 (MD5)"]},{"key":"dc:title","label":"Title","values":["Closed-loop analysis and feedback design in the presence of limited information"]}]}],"canonical_facts":{"dc:contributor":["Hovakimyan, Naira","Kumar, P.R.","Dullerud, Geir E.","Mehta, Prashant G."],"dc:creator":["Li, Dapeng"],"dc:date":["2011-05-25T14:37:16Z","2013-05-26T10:00:23Z","2011-05"],"dc:description":["Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2013-05-26T10:00:23Z","Recent progress in communication technologies and their use in feedback control systems motivate to look deeper into the interplay of control and communication in the closed-loop feedback architecture. Among several research directions on this topic, a great deal of attention has been given to the fundamental limitations in the presence communication constraints. Entropy rate inequalities corresponding to the information flux in a typical causal closed loop have been derived towards obtaining a Bode-like integral formula. This work extends the discrete-time result to continuous-time systems. The main challenge in this extension is that Kolmogorov's entropy rate equality, which is fundamental to the derivation of the result in discrete-time case, does not hold for continuous-time systems. Mutual information rate instead of entropy rate is used to represent the information flow in the closed-loop, and a limiting relationship due to Pinsker towards obtaining the mutual information rate between two continuous time processes from their discretized sequence is used to derive the Bode-like formula. The results are further extended to switched systems and a Bode integral formula is obtained under the assumption that the switching sequence is an ergodic Markov chain. To enable simplified calculation of the resulting lower bound, some Lie algebraic conditions are developed. Besides analysis results, this dissertation also includes joint control/communication design for closed-loop stability of performance. We consider the stabilization problem within Linear Quadratic Regulator framework, where a control gain is chosen to minimize a linear quadratic cost functional while subject to the input power constraint imposed by an additive Gaussian channel which closes the loop. Also focused on Gaussian channel, the channel noise attenuation problem is addressed, by using H-infinity/H2 methodology. Similar feedback optimal estimation problem is solved by using Kalman filtering theory.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-04-22T17:03:13Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Dapeng_LI.pdf: 826056 bytes, checksum: 0d4764f334a1babf5d569537c00a694c (MD5)","Made available in DSpace on 2011-05-25T14:37:16Z (GMT). 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