{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T17:40:07Z","timestamp":1772041207008,"version":"3.50.1"},"reference-count":26,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,4,16]],"date-time":"2022-04-16T00:00:00Z","timestamp":1650067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotics"],"abstract":"<jats:p>This study proposes a performance index for the dimensional optimization of parallel manipulators with specific tasks. In particular, the index evaluates the dexterity of the mechanism to be designed and compares it with that of the required specific task, e.g., rehabilitation tasks. The proposed index is implemented to design a 3UPS + RPU parallel manipulator for performing physical rehabilitation treatments on lower limbs. First, the condition numbers of both the mechanism and the lower limb are determined. Subsequently, the indexes are compared such that both systems exhibit similar dexterity. As a case study, the approach is implemented in the dimensional synthesis of the 3UPS + RPU parallel manipulator. The optimization approach enables obtaining a dexterity space of the mechanism that best matches that of the lower limb. The results are graphically presented, showing the matching areas of both workspaces, verifying the effectiveness of the proposed index.<\/jats:p>","DOI":"10.3390\/robotics11020051","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T02:39:31Z","timestamp":1650335971000},"page":"51","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Performance Index for Dimensional Synthesis of Robots for Specific Tasks"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7243-4957","authenticated-orcid":false,"given":"Miguel","family":"D\u00edaz-Rodr\u00edguez","sequence":"first","affiliation":[{"name":"Laboratorio de Mecatr\u00f3nica y Rob\u00f3tica, Facultad de Ingenier\u00eda, Universidad de los Andes, M\u00e9rida 5101, Venezuela"}]},{"given":"Pedro","family":"Araujo-G\u00f3mez","sequence":"additional","affiliation":[{"name":"Laboratorio de Mecatr\u00f3nica y Rob\u00f3tica, Facultad de Ingenier\u00eda, Universidad de los Andes, M\u00e9rida 5101, Venezuela"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2778-3389","authenticated-orcid":false,"given":"Octavio Andr\u00e9s","family":"Gonz\u00e1lez-Estrada","sequence":"additional","affiliation":[{"name":"Energy and Environment Research Group\u2014GIEMA, School of Mechanical Engineering, Universidad Industrial de Santander, Bucaramanga 680002, Colombia"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.riai.2012.02.005","article-title":"Performance Indices for Robotic Manipulators: A review of the State of the Art","volume":"9","author":"Moreno","year":"2012","journal-title":"Rev. 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