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
  • [1] Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra
    Jaroslav Hrdina
    Aleš Návrat
    Petr Vašík
    Advances in Applied Clifford Algebras, 2016, 26 : 1069 - 1080
  • [2] Trident Snake Control Based on Conformal Geometric Algebra
    Navrat, Ales
    Matousek, Radomil
    MENDEL 2015: RECENT ADVANCES IN SOFT COMPUTING, 2015, 378 : 375 - 385
  • [3] CGA-based robotic snake control
    Hrdina, Jaroslav
    Navrat, Ale
    Vasik, Petr
    Matousek, R.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 621 - 632
  • [4] CGA-based robotic snake control
    Jaroslav Hrdina
    Aleš Návrat
    Petr Vašík
    R. Matoušek
    Advances in Applied Clifford Algebras, 2017, 27 : 621 - 632
  • [5] Geometric Control of the Trident Snake Robot Based on CGA
    Hrdina, J.
    Navrat, A.
    Vasik, P.
    Matousek, R.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (01) : 633 - 645
  • [6] Geometric Control of the Trident Snake Robot Based on CGA
    J. Hrdina
    A. Návrat
    P. Vašík
    R. Matoušek
    Advances in Applied Clifford Algebras, 2017, 27 : 633 - 645
  • [7] Modeling and Pose Control of Robotic Manipulators and Legs using Conformal Geometric Algebra
    Carbajal-Espinosa, Oscar
    Gonzalez-Jimenez, Luis
    Oviedo-Barriga, Jose
    Castillo-Toledo, Bernardino
    Loukianov, Alexander
    Bayro-Corrochano, Eduardo
    COMPUTACION Y SISTEMAS, 2015, 19 (03): : 475 - 486
  • [8] Binocular Computer Vision Based on Conformal Geometric Algebra
    Hrdina, Jaroslav
    Navrat, Ales
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 1945 - 1959
  • [9] Binocular Computer Vision Based on Conformal Geometric Algebra
    Jaroslav Hrdina
    Aleš Návrat
    Advances in Applied Clifford Algebras, 2017, 27 : 1945 - 1959
  • [10] Displacement Analysis of a Nine-Link Baranov Truss Based on Conformal Geometric Algebra
    Zhang Y.
    Shao Y.
    Wei S.
    Liao Q.
    Beijing Youdian Daxue Xuebao/Journal of Beijing University of Posts and Telecommunications, 2023, 46 (03): : 91 - 96