{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T14:48:39Z","timestamp":1786114119713,"version":"3.56.0"},"reference-count":56,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2015,7,20]],"date-time":"2015-07-20T00:00:00Z","timestamp":1437350400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["The International Journal of Robotics Research"],"published-print":{"date-parts":[[2016,4]]},"abstract":"<jats:p>The recent growth of surgical applications exploiting continuum robots demands for new control paradigms that ensure safety by controlling interaction forces of tele-operated end-effectors. In this paper, we present the modeling, sensing and control of multi-backbone continuum robots in a unified framework for hybrid motion\/force control. Multi-backbone continuum robots allow to estimate forces and torques at the operational point by monitoring loads along their actuation lines without the need for a dedicated transducer at the operational point. This capability is indeed crucial in emerging fields such as robotic surgery where cost and strict sterilization guidelines prevent the adoption of a dedicated sensor to provide force feedback from the sterile field. To advance further the force sensing capabilities of multi-backbone continuum robots, we present a new framework for hybrid motion and force control of continuum robots with intrinsic force sensing capabilities. The framework is based on a kinetostatic modeling of the multi-backbone continuum robot with, a simplified model for online estimate of the manipulator\u2019s compliance, and a new strategy for merging force and motion control laws in the configuration space of the manipulator. Experimental results show the ability to sense and regulate forces at the operational point and evaluate the framework for shape exploration and stiffness imaging in flexible environments.<\/jats:p>","DOI":"10.1177\/0278364915584806","type":"journal-article","created":{"date-parts":[[2015,7,20]],"date-time":"2015-07-20T21:34:48Z","timestamp":1437428088000},"page":"422-434","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":168,"title":["Hybrid motion\/force control of multi-backbone continuum           robots"],"prefix":"10.1177","volume":"35","author":[{"given":"Andrea","family":"Bajo","sequence":"first","affiliation":[{"name":"Advanced Robotics and Mechanism Applications (ARMA),\r          Department of Mechanical Engineering, Vanderbilt University, Nashville, TN, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nabil","family":"Simaan","sequence":"additional","affiliation":[{"name":"Advanced 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