Optimal closed-loop robust rendezvous guidance with the observability constraint of angles-only navigation
This paper proposes an optimal closed-loop rendezvous guidance algorithm with the observability constraint of angles-only navigation using robust convex optimization. First, the relative dynamics equation is established based on the well-known Clohessy–Wiltshire (CW) equation, and the measurement eq...
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| Veröffentlicht in: | Transactions of the Institute of Measurement and Control 2023-10, Vol.45 (14), p.2748-2759 |
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| creator | Du, Ronghua Liao, Wenhe Zhang, Xiang |
| description | This paper proposes an optimal closed-loop rendezvous guidance algorithm with the observability constraint of angles-only navigation using robust convex optimization. First, the relative dynamics equation is established based on the well-known Clohessy–Wiltshire (CW) equation, and the measurement equation which includes a set of azimuth and elevation is also established. Then, a geometrical observability analysis is introduced to analyze the observability of angles-only navigation. And then, taking the geometrical observability of angles-only navigation as the variable, taking the total fuel cost as the optimization objective, and considering other various constraints such as relative motion and thrust magnitude constraints. And then, the mathematical expression of the closed-loop rendezvous guidance with the observability constraint of angles-only navigation is established. A robust convex optimization method is introduced to solve the problem proposed in real time online. Finally, the performances of the proposed algorithm are analyzed by means of numerical simulation, which verifies the effectiveness of the algorithm proposed in this paper. |
| doi_str_mv | 10.1177/01423312231166044 |
| format | Article |
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First, the relative dynamics equation is established based on the well-known Clohessy–Wiltshire (CW) equation, and the measurement equation which includes a set of azimuth and elevation is also established. Then, a geometrical observability analysis is introduced to analyze the observability of angles-only navigation. And then, taking the geometrical observability of angles-only navigation as the variable, taking the total fuel cost as the optimization objective, and considering other various constraints such as relative motion and thrust magnitude constraints. And then, the mathematical expression of the closed-loop rendezvous guidance with the observability constraint of angles-only navigation is established. A robust convex optimization method is introduced to solve the problem proposed in real time online. Finally, the performances of the proposed algorithm are analyzed by means of numerical simulation, which verifies the effectiveness of the algorithm proposed in this paper.</description><identifier>ISSN: 0142-3312</identifier><identifier>EISSN: 1477-0369</identifier><identifier>DOI: 10.1177/01423312231166044</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Algorithms ; Angles (geometry) ; Closed loops ; Convex analysis ; Convexity ; Navigation ; Optimization ; Rendezvous guidance ; Robustness (mathematics)</subject><ispartof>Transactions of the Institute of Measurement and Control, 2023-10, Vol.45 (14), p.2748-2759</ispartof><rights>The Author(s) 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c264t-9678aeda4b5aca0ffe026f559398a01344430f9d73dbf9e1e15707613a7a79083</cites><orcidid>0000-0003-0648-3616</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/01423312231166044$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/01423312231166044$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,776,780,21798,27901,27902,43597,43598</link.rule.ids></links><search><creatorcontrib>Du, Ronghua</creatorcontrib><creatorcontrib>Liao, Wenhe</creatorcontrib><creatorcontrib>Zhang, Xiang</creatorcontrib><title>Optimal closed-loop robust rendezvous guidance with the observability constraint of angles-only navigation</title><title>Transactions of the Institute of Measurement and Control</title><description>This paper proposes an optimal closed-loop rendezvous guidance algorithm with the observability constraint of angles-only navigation using robust convex optimization. First, the relative dynamics equation is established based on the well-known Clohessy–Wiltshire (CW) equation, and the measurement equation which includes a set of azimuth and elevation is also established. Then, a geometrical observability analysis is introduced to analyze the observability of angles-only navigation. And then, taking the geometrical observability of angles-only navigation as the variable, taking the total fuel cost as the optimization objective, and considering other various constraints such as relative motion and thrust magnitude constraints. And then, the mathematical expression of the closed-loop rendezvous guidance with the observability constraint of angles-only navigation is established. A robust convex optimization method is introduced to solve the problem proposed in real time online. Finally, the performances of the proposed algorithm are analyzed by means of numerical simulation, which verifies the effectiveness of the algorithm proposed in this paper.</description><subject>Algorithms</subject><subject>Angles (geometry)</subject><subject>Closed loops</subject><subject>Convex analysis</subject><subject>Convexity</subject><subject>Navigation</subject><subject>Optimization</subject><subject>Rendezvous guidance</subject><subject>Robustness (mathematics)</subject><issn>0142-3312</issn><issn>1477-0369</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAURYMoOI7-AHcB19WkSZN2KYNfMDAbXZfX9qWToSZjko6Mv94OI7gQV29xz70PDiHXnN1yrvUd4zIXgue54FwpJuUJmXGpdcaEqk7J7JBnB-CcXMS4YWxClJyRzWqb7DsMtB18xC4bvN_S4JsxJhrQdfi182Ok_Wg7cC3ST5vWNK2R-iZi2EFjB5v2tPUupgDWJeoNBdcPGDPvhj11sLM9JOvdJTkzMES8-rlz8vb48Lp4zparp5fF_TJrcyVTVildAnYgmwJaYMYgy5UpikpUJTAupJSCmarTomtMhRx5oZlWXIAGXbFSzMnNcXcb_MeIMdUbPwY3vazzUsmymISxieJHqg0-xoCm3oZJRNjXnNUHpfUfpVPn9tiJ0OPv6v-Fb-n_d3g</recordid><startdate>202310</startdate><enddate>202310</enddate><creator>Du, Ronghua</creator><creator>Liao, Wenhe</creator><creator>Zhang, Xiang</creator><general>SAGE Publications</general><general>Sage Publications Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0003-0648-3616</orcidid></search><sort><creationdate>202310</creationdate><title>Optimal closed-loop robust rendezvous guidance with the observability constraint of angles-only navigation</title><author>Du, Ronghua ; Liao, Wenhe ; Zhang, Xiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-9678aeda4b5aca0ffe026f559398a01344430f9d73dbf9e1e15707613a7a79083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algorithms</topic><topic>Angles (geometry)</topic><topic>Closed loops</topic><topic>Convex analysis</topic><topic>Convexity</topic><topic>Navigation</topic><topic>Optimization</topic><topic>Rendezvous guidance</topic><topic>Robustness (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Du, Ronghua</creatorcontrib><creatorcontrib>Liao, Wenhe</creatorcontrib><creatorcontrib>Zhang, Xiang</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Transactions of the Institute of Measurement and Control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Du, Ronghua</au><au>Liao, Wenhe</au><au>Zhang, Xiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal closed-loop robust rendezvous guidance with the observability constraint of angles-only navigation</atitle><jtitle>Transactions of the Institute of Measurement and Control</jtitle><date>2023-10</date><risdate>2023</risdate><volume>45</volume><issue>14</issue><spage>2748</spage><epage>2759</epage><pages>2748-2759</pages><issn>0142-3312</issn><eissn>1477-0369</eissn><abstract>This paper proposes an optimal closed-loop rendezvous guidance algorithm with the observability constraint of angles-only navigation using robust convex optimization. First, the relative dynamics equation is established based on the well-known Clohessy–Wiltshire (CW) equation, and the measurement equation which includes a set of azimuth and elevation is also established. Then, a geometrical observability analysis is introduced to analyze the observability of angles-only navigation. And then, taking the geometrical observability of angles-only navigation as the variable, taking the total fuel cost as the optimization objective, and considering other various constraints such as relative motion and thrust magnitude constraints. And then, the mathematical expression of the closed-loop rendezvous guidance with the observability constraint of angles-only navigation is established. A robust convex optimization method is introduced to solve the problem proposed in real time online. Finally, the performances of the proposed algorithm are analyzed by means of numerical simulation, which verifies the effectiveness of the algorithm proposed in this paper.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/01423312231166044</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0003-0648-3616</orcidid></addata></record> |
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| subjects | Algorithms Angles (geometry) Closed loops Convex analysis Convexity Navigation Optimization Rendezvous guidance Robustness (mathematics) |
| title | Optimal closed-loop robust rendezvous guidance with the observability constraint of angles-only navigation |
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