{"title":"Singularity avoidance method for dual-arm closed-chain system based on damped least squares","authors":"Qin Zhang, Zhenyu Liu, Hui Chai, Yueyang Li","doi":"10.1177/17298806231206940","DOIUrl":null,"url":null,"abstract":"When two manipulators cooperate to clamp a rigid object, a closed chain with both ends fixed is formed. The singularity of a single manipulator causes the closed chain to be at a singularity, which results in uncertainty in the velocity mapping between the terminal and joint space. This study proposes a closed-chain singularity processing method for dual-arm collaboration, adopting the Jacobian pseudoinverse method based on damped least squares to obtain an approximate solution. During the solution process, the adaptive damping factor is improved by cubic polynomials, and the optimal damping factor is determined by quadratic sequence programming. Furthermore, this study analyzes the kinematic constraints of the closed-chain system and constructs a closed-chain Jacobian to judge whether the system is in a singular region. Finally, the effectiveness of the proposed method is verified through simulations.","PeriodicalId":50343,"journal":{"name":"International Journal of Advanced Robotic Systems","volume":"46 1","pages":"0"},"PeriodicalIF":2.3000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Advanced Robotic Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/17298806231206940","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 0
Abstract
When two manipulators cooperate to clamp a rigid object, a closed chain with both ends fixed is formed. The singularity of a single manipulator causes the closed chain to be at a singularity, which results in uncertainty in the velocity mapping between the terminal and joint space. This study proposes a closed-chain singularity processing method for dual-arm collaboration, adopting the Jacobian pseudoinverse method based on damped least squares to obtain an approximate solution. During the solution process, the adaptive damping factor is improved by cubic polynomials, and the optimal damping factor is determined by quadratic sequence programming. Furthermore, this study analyzes the kinematic constraints of the closed-chain system and constructs a closed-chain Jacobian to judge whether the system is in a singular region. Finally, the effectiveness of the proposed method is verified through simulations.
期刊介绍：
International Journal of Advanced Robotic Systems (IJARS) is a JCR ranked, peer-reviewed open access journal covering the full spectrum of robotics research. The journal is addressed to both practicing professionals and researchers in the field of robotics and its specialty areas. IJARS features fourteen topic areas each headed by a Topic Editor-in-Chief, integrating all aspects of research in robotics under the journal''s domain.
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