Omar Rayyan, Vinicius Gonçalves, Nikolaos Evangeliou, Anthony Tzes
{"title":"RCM-Constrained Manipulator Trajectory Tracking Using Differential Kinematics Control","authors":"Omar Rayyan, Vinicius Gonçalves, Nikolaos Evangeliou, Anthony Tzes","doi":"arxiv-2409.05740","DOIUrl":null,"url":null,"abstract":"This paper proposes an approach for controlling surgical robotic systems,\nwhile complying with the Remote Center of Motion (RCM) constraint in\nRobot-Assisted Minimally Invasive Surgery (RA-MIS). In this approach, the\nRCM-constraint is upheld algorithmically, providing flexibility in the\npositioning of the insertion point and enabling compatibility with a wide range\nof general-purpose robots. The paper further investigates the impact of the\ntool's insertion ratio on the RCM-error, and introduces a manipulability index\nof the robot which considers the RCM-error that it is used to find a starting\nconfiguration. To accurately evaluate the proposed method's trajectory tracking\nwithin an RCM-constrained environment, an electromagnetic tracking system is\nemployed. The results demonstrate the effectiveness of the proposed method in\naddressing the RCM constraint problem in RA-MIS.","PeriodicalId":501286,"journal":{"name":"arXiv - MATH - Optimization and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Optimization and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05740","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes an approach for controlling surgical robotic systems,
while complying with the Remote Center of Motion (RCM) constraint in
Robot-Assisted Minimally Invasive Surgery (RA-MIS). In this approach, the
RCM-constraint is upheld algorithmically, providing flexibility in the
positioning of the insertion point and enabling compatibility with a wide range
of general-purpose robots. The paper further investigates the impact of the
tool's insertion ratio on the RCM-error, and introduces a manipulability index
of the robot which considers the RCM-error that it is used to find a starting
configuration. To accurately evaluate the proposed method's trajectory tracking
within an RCM-constrained environment, an electromagnetic tracking system is
employed. The results demonstrate the effectiveness of the proposed method in
addressing the RCM constraint problem in RA-MIS.