Boundary control of three-dimensional inextensible marine risers
This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, seve...
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| Veröffentlicht in: | Journal of sound and vibration 2009-11, Vol.327 (3), p.299-321 |
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| container_title | Journal of sound and vibration |
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| creator | Do, K.D. Pan, J. |
| description | This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system. |
| doi_str_mv | 10.1016/j.jsv.2009.07.009 |
| format | Article |
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First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.</description><identifier>ISSN: 0022-460X</identifier><identifier>EISSN: 1095-8568</identifier><identifier>DOI: 10.1016/j.jsv.2009.07.009</identifier><identifier>CODEN: JSVIAG</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Applied sciences ; Boundaries ; Computer science; control theory; systems ; Control system synthesis ; Control theory. Systems ; Controllers ; Crude oil, natural gas and petroleum products ; Crude oil, natural gas, oil shales producing equipements and methods ; Differential equations ; Drives ; Dynamical systems ; Energy ; Exact sciences and technology ; Fuels ; Hydraulics ; Marine ; Mathematical analysis ; Mechanical engineering. Machine design ; Oil extraction from wells. Pumping. Shale oil extraction. Well workover ; Prospecting and production of crude oil, natural gas, oil shales and tar sands ; Risers ; Speed variators, torque converters. Hydraulic drives and controls, pneumatic drives and controls, fluids and components, hydraulic motors, pneumatic motors ; Vibration</subject><ispartof>Journal of sound and vibration, 2009-11, Vol.327 (3), p.299-321</ispartof><rights>2009 Elsevier Ltd</rights><rights>2009 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c422t-b7eb6599ee4331f41c08c7bf8f2e57c86944cc4e11ee19b388030b9409e312c93</citedby><cites>FETCH-LOGICAL-c422t-b7eb6599ee4331f41c08c7bf8f2e57c86944cc4e11ee19b388030b9409e312c93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022460X09005781$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21985731$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Do, K.D.</creatorcontrib><creatorcontrib>Pan, J.</creatorcontrib><title>Boundary control of three-dimensional inextensible marine risers</title><title>Journal of sound and vibration</title><description>This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.</description><subject>Applied sciences</subject><subject>Boundaries</subject><subject>Computer science; control theory; systems</subject><subject>Control system synthesis</subject><subject>Control theory. Systems</subject><subject>Controllers</subject><subject>Crude oil, natural gas and petroleum products</subject><subject>Crude oil, natural gas, oil shales producing equipements and methods</subject><subject>Differential equations</subject><subject>Drives</subject><subject>Dynamical systems</subject><subject>Energy</subject><subject>Exact sciences and technology</subject><subject>Fuels</subject><subject>Hydraulics</subject><subject>Marine</subject><subject>Mathematical analysis</subject><subject>Mechanical engineering. Machine design</subject><subject>Oil extraction from wells. Pumping. Shale oil extraction. Well workover</subject><subject>Prospecting and production of crude oil, natural gas, oil shales and tar sands</subject><subject>Risers</subject><subject>Speed variators, torque converters. Hydraulic drives and controls, pneumatic drives and controls, fluids and components, hydraulic motors, pneumatic motors</subject><subject>Vibration</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkE1L9DAUhYMoOH78AHfd-OKm9d4kbRLcvCp-geBGwV1oM7eYodNo0hH992YYcamrw4XnnAsPY0cIFQI2p4tqkd4rDmAqUFWOLTZDMHWp60ZvsxkA56Vs4HmX7aW0gExIIWfs_0VYjfM2fhYujFMMQxH6YnqJROXcL2lMPoztUPiRPqb11Q1ULNuY7yL6RDEdsJ2-HRIdfuc-e7q-ery8Le8fbu4uz-9LJzmfyk5R19TGEEkhsJfoQDvV9brnVCunGyOlc5IQidB0QmsQ0BkJhgRyZ8Q--7fZfY3hbUVpskufHA1DO1JYJSukqWtd8z9BjqCMbnQGT34FUTUcUSiFGcUN6mJIKVJvX6PPGj4tgl37twub_du1fwvK5sid4-_5Nrl26GM7Op9-ihyNrpVYb59tOMr23j1Fm5yn0dHcR3KTnQf_y5cvv8yaNQ</recordid><startdate>20091113</startdate><enddate>20091113</enddate><creator>Do, K.D.</creator><creator>Pan, J.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>F1W</scope><scope>H96</scope><scope>L.G</scope></search><sort><creationdate>20091113</creationdate><title>Boundary control of three-dimensional inextensible marine risers</title><author>Do, K.D. ; Pan, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c422t-b7eb6599ee4331f41c08c7bf8f2e57c86944cc4e11ee19b388030b9409e312c93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Boundaries</topic><topic>Computer science; control theory; systems</topic><topic>Control system synthesis</topic><topic>Control theory. Systems</topic><topic>Controllers</topic><topic>Crude oil, natural gas and petroleum products</topic><topic>Crude oil, natural gas, oil shales producing equipements and methods</topic><topic>Differential equations</topic><topic>Drives</topic><topic>Dynamical systems</topic><topic>Energy</topic><topic>Exact sciences and technology</topic><topic>Fuels</topic><topic>Hydraulics</topic><topic>Marine</topic><topic>Mathematical analysis</topic><topic>Mechanical engineering. Machine design</topic><topic>Oil extraction from wells. Pumping. Shale oil extraction. Well workover</topic><topic>Prospecting and production of crude oil, natural gas, oil shales and tar sands</topic><topic>Risers</topic><topic>Speed variators, torque converters. Hydraulic drives and controls, pneumatic drives and controls, fluids and components, hydraulic motors, pneumatic motors</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Do, K.D.</creatorcontrib><creatorcontrib>Pan, J.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Do, K.D.</au><au>Pan, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Boundary control of three-dimensional inextensible marine risers</atitle><jtitle>Journal of sound and vibration</jtitle><date>2009-11-13</date><risdate>2009</risdate><volume>327</volume><issue>3</issue><spage>299</spage><epage>321</epage><pages>299-321</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><coden>JSVIAG</coden><abstract>This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.jsv.2009.07.009</doi><tpages>23</tpages></addata></record> |
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| ispartof | Journal of sound and vibration, 2009-11, Vol.327 (3), p.299-321 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Applied sciences Boundaries Computer science control theory systems Control system synthesis Control theory. Systems Controllers Crude oil, natural gas and petroleum products Crude oil, natural gas, oil shales producing equipements and methods Differential equations Drives Dynamical systems Energy Exact sciences and technology Fuels Hydraulics Marine Mathematical analysis Mechanical engineering. Machine design Oil extraction from wells. Pumping. Shale oil extraction. Well workover Prospecting and production of crude oil, natural gas, oil shales and tar sands Risers Speed variators, torque converters. Hydraulic drives and controls, pneumatic drives and controls, fluids and components, hydraulic motors, pneumatic motors Vibration |
| title | Boundary control of three-dimensional inextensible marine risers |
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