Safe Navigation Using Density Functions
This letter presents a novel approach for safe control synthesis using the dual formulation of the navigation problem. The main contribution of this letter is in the analytical construction of density functions for almost everywhere navigation with safety constraints. In contrast to the existing app...
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| Veröffentlicht in: | IEEE robotics and automation letters 2023-12, Vol.8 (12), p.8502-8509 |
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| creator | Zheng, Andrew Narayanan, Sriram S. K. S. Vaidya, Umesh |
| description | This letter presents a novel approach for safe control synthesis using the dual formulation of the navigation problem. The main contribution of this letter is in the analytical construction of density functions for almost everywhere navigation with safety constraints. In contrast to the existing approaches, where density functions are used for the analysis of navigation problems, we use density functions for the synthesis of safe controllers. We provide convergence proof using the proposed density functions for navigation with safety. Further, we use these density functions to design feedback controllers capable of navigating in cluttered environments and high-dimensional configuration spaces. The proposed analytical construction of density functions overcomes the problem associated with navigation functions, which are known to exist but challenging to construct, and potential functions, which suffer from local minima. Application of the developed framework is demonstrated on simple integrator dynamics and fully actuated robotic systems. |
| doi_str_mv | 10.1109/LRA.2023.3311334 |
| format | Article |
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K. S. ; Vaidya, Umesh</creator><creatorcontrib>Zheng, Andrew ; Narayanan, Sriram S. K. S. ; Vaidya, Umesh</creatorcontrib><description>This letter presents a novel approach for safe control synthesis using the dual formulation of the navigation problem. The main contribution of this letter is in the analytical construction of density functions for almost everywhere navigation with safety constraints. In contrast to the existing approaches, where density functions are used for the analysis of navigation problems, we use density functions for the synthesis of safe controllers. We provide convergence proof using the proposed density functions for navigation with safety. Further, we use these density functions to design feedback controllers capable of navigating in cluttered environments and high-dimensional configuration spaces. The proposed analytical construction of density functions overcomes the problem associated with navigation functions, which are known to exist but challenging to construct, and potential functions, which suffer from local minima. Application of the developed framework is demonstrated on simple integrator dynamics and fully actuated robotic systems.</description><identifier>ISSN: 2377-3766</identifier><identifier>EISSN: 2377-3766</identifier><identifier>DOI: 10.1109/LRA.2023.3311334</identifier><identifier>CODEN: IRALC6</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Collision avoidance ; Density ; Density functional theory ; Feedback control ; Motion and path planning ; Motion planning ; Navigation ; Path planning ; Safety ; Synthesis ; task and motion planning</subject><ispartof>IEEE robotics and automation letters, 2023-12, Vol.8 (12), p.8502-8509</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c245t-3e55f8bdfe573c6f5cf3dabf82fec1905802abf8a3b8853aa26c09fdce610c323</cites><orcidid>0000-0002-3163-9275 ; 0000-0002-0483-4921 ; 0009-0000-3201-4456</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/10238751$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/10238751$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Zheng, Andrew</creatorcontrib><creatorcontrib>Narayanan, Sriram S. K. 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The proposed analytical construction of density functions overcomes the problem associated with navigation functions, which are known to exist but challenging to construct, and potential functions, which suffer from local minima. Application of the developed framework is demonstrated on simple integrator dynamics and fully actuated robotic systems.</description><subject>Collision avoidance</subject><subject>Density</subject><subject>Density functional theory</subject><subject>Feedback control</subject><subject>Motion and path planning</subject><subject>Motion planning</subject><subject>Navigation</subject><subject>Path planning</subject><subject>Safety</subject><subject>Synthesis</subject><subject>task and motion planning</subject><issn>2377-3766</issn><issn>2377-3766</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE1Lw0AQhhdRsNTePXgIePCUOLPTTTbHUq0KQUHtedlsdkuKJnU3FfrvTUwPPc0HzzsDD2PXCAki5PfF-yLhwCkhQiSan7EJpyyLKUvT85P-ks1C2AIACp5RLibs7kM7G73q33qju7ptonWom030YJtQd4dotW_MsA5X7MLpr2Bnxzpl69Xj5_I5Lt6eXpaLIjZ8LrqYrBBOlpWzIiOTOmEcVbp0kjtrMAchgQ-jplJKQVrz1EDuKmNTBEOcpux2vLvz7c_ehk5t271v-peKyxwQUf5TMFLGtyF469TO19_aHxSCGoyo3ogajKijkT5yM0Zqa-0JzklmAukPNztbSQ</recordid><startdate>20231201</startdate><enddate>20231201</enddate><creator>Zheng, Andrew</creator><creator>Narayanan, Sriram S. K. S.</creator><creator>Vaidya, Umesh</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-3163-9275</orcidid><orcidid>https://orcid.org/0000-0002-0483-4921</orcidid><orcidid>https://orcid.org/0009-0000-3201-4456</orcidid></search><sort><creationdate>20231201</creationdate><title>Safe Navigation Using Density Functions</title><author>Zheng, Andrew ; Narayanan, Sriram S. K. 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| subjects | Collision avoidance Density Density functional theory Feedback control Motion and path planning Motion planning Navigation Path planning Safety Synthesis task and motion planning |
| title | Safe Navigation Using Density Functions |
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