{"id":{"repo_id":"gsu","oai_identifier":"oai:digitalcommons.georgiasouthern.edu:etd-1645"},"canonical_url":"https://search.dev.ndltd.org/etd/gsu/oai:digitalcommons.georgiasouthern.edu:etd-1645","repository":{"repo_id":"gsu","name":"Georgia Southern University","base_url":"https://digitalcommons.georgiasouthern.edu/do/oai/"},"display":{"title":"State Feedback Control of a Single-Loop Thermosyphon System Via a Quotient Controller","abstract":"The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature.","abstract_html":"The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature.","abstract_has_math":false,"creators":["Tanner, Jonathan S."],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (open access)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Xiezhang Li","Viktor Maymeskul","Xiao-jun Wang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2007,"date_issued":"2007-05-01T07:00:00Z","date_published":"2007-05-01T07:00:00Z","updated_at":"2026-07-24T02:27:19Z","subjects":["ETD","Chaotic flow","Control systems","Convective flow","Fourier series","Galerkin method","Local stability","Lorenz equations","Quotient controller","Runge-Kutta method","Single-loop thermosyphon","State feedback control","Feedback control systems"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/645","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Xiezhang Li","Viktor Maymeskul","Xiao-jun Wang"]},{"key":"dc:creator","label":"Author","values":["Tanner, Jonathan S."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2013-10-17T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (open access)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Chaotic flow","Control systems","Convective flow","Fourier series","Galerkin method","Local stability","Lorenz equations","Quotient controller","Runge-Kutta method","Single-loop thermosyphon","State feedback control","Feedback control systems"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/645"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature."]},{"key":"dc:title","label":"Title","values":["State Feedback Control of a Single-Loop Thermosyphon System Via a Quotient Controller"]}]}],"canonical_facts":{"dc:contributor":["Xiezhang Li","Viktor Maymeskul","Xiao-jun Wang"],"dc:creator":["Tanner, Jonathan S."],"dc:date.available":["2013-10-17T07:00:00Z"],"dc:description.abstract":["The objective of this work is to design a quotient controller to stabilize a chaotic flow in a single loop thermosyphon system with a high heat index. The thermosyphon loop is heated from below and cooled from above, which causes time-dependent chaotic flow when the external heat index is above a threshold value. Our goal was to stabilize the fluid into a convective uni-directional flow well into the chaotic regime. We also investigated adding a tracking integrator to the thermosyphon system to allow tracking to a specific temperature."],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/645"],"dc:subject":["ETD","Chaotic flow","Control systems","Convective flow","Fourier series","Galerkin method","Local stability","Lorenz equations","Quotient controller","Runge-Kutta method","Single-loop thermosyphon","State feedback control","Feedback control systems"],"dc:title":["State Feedback Control of a Single-Loop Thermosyphon System Via a Quotient Controller"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (open access)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:27:19Z"}