Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra

被引:22
|
作者
Hrdina, Jaroslav [1 ]
Navrat, Ales [1 ]
Vasik, Petr [1 ]
机构
[1] Brno Univ Technol, Inst Math, Fac Mech Engn, Brno, Czech Republic
关键词
Conformal geometric algebra; Clifford algebra; Mathematics robotic; Nonholonomic mechanics; Snake robots; Local controllability; Bionics;
D O I
10.1007/s00006-015-0621-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Local controllability of a three link robotic snake is solved by means of 5D conformal geometric algebra. The non-holonomic kinematic equations are assembled, their role in the geometric control theory is discussed and the control solution is found. The functionality is demonstrated on a virtual model in CLUCalc programme. Finally, the snake robot dynamics is elaborated.
引用
收藏
页码:1069 / 1080
页数:12
相关论文
共 50 条
  • [31] Inverse Kinematics of 6-DOF Robot Based on Conformal Geometric Algebra
    Feng Chun
    Wu Hong-tao
    Miao Qun-hua
    2010 INTERNATIONAL CONFERENCE ON FUTURE CONTROL AND AUTOMATION (ICFCA 2010), 2010, : 52 - 55
  • [32] Self-calibration method of binocular vision based on conformal geometric algebra
    Stodola, Marek
    Frolik, Stanislav
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (03) : 1289 - 1304
  • [33] POC Analysis of Parallel Mechanisms Based on Conformal Geometric Algebra Description Method
    Shen, Chengwei
    Hang, Lubin
    MECHANISM AND MACHINE SCIENCE, 2017, 408 : 367 - 378
  • [34] A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions
    Ventura, Jorge
    Martinez, Fernando
    Manzano-Agugliaro, Francisco
    Navrat, Ales
    Hrdina, Jaroslav
    Eid, Ahmad H.
    Montoya, Francisco G.
    JOURNAL OF GEODESY, 2024, 98 (06)
  • [35] Higher-Order Logic Formalization of Conformal Geometric Algebra and its Application in Verifying a Robotic Manipulation Algorithm
    Sha Ma
    Zhiping Shi
    Zhenzhou Shao
    Yong Guan
    Liming Li
    Yongdong Li
    Advances in Applied Clifford Algebras, 2016, 26 : 1305 - 1330
  • [36] Higher-Order Logic Formalization of Conformal Geometric Algebra and its Application in Verifying a Robotic Manipulation Algorithm
    Ma, Sha
    Shi, Zhiping
    Shao, Zhenzhou
    Guan, Yong
    Li, Liming
    Li, Yongdong
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (04) : 1305 - 1330
  • [37] Geometric techniques for robotics and HMI: Interpolation and haptics in conformal geometric algebra and control using quaternion spike neural networks
    Bayro-Corrochano, Eduardo
    Lechuga-Gutierrez, Luis
    Garza-Burgos, Marcela
    ROBOTICS AND AUTONOMOUS SYSTEMS, 2018, 104 : 72 - 84
  • [38] Individual Three-Dimensional Human Model Animation Based on Conformal Geometric Algebra
    Hu, Liangwen
    Hao, Kuangrong
    Huang, Xin
    Ding, Yongsheng
    SOFTWARE ENGINEERING AND KNOWLEDGE ENGINEERING: THEORY AND PRACTICE, VOL 1, 2012, 114 : 417 - 424
  • [39] Robust Dynamic Control of an Arm of a Humanoid Using Super Twisting Algorithm and Conformal Geometric Algebra
    Carbajal-Espinosa, O.
    Gonzalez-Jimenez, L.
    Loukianov, A.
    Bayro-Corrochano, E.
    COMPUTATIONAL KINEMATICS (CK2013), 2014, 15 : 261 - 269
  • [40] A Curvature-Based Descriptor for Point Cloud Alignment Using Conformal Geometric Algebra
    Adam Leon Kleppe
    Olav Egeland
    Advances in Applied Clifford Algebras, 2018, 28