Lagrangian Jacobian inverse for nonholonomic robotic systems

被引:9
|
作者
Tchon, Krzysztof [1 ]
Ratajczak, Adam [2 ]
Goral, Ida [1 ]
机构
[1] Wroclaw Univ Technol, Elect Fac, Chair Cybernet & Robot, PL-50372 Wroclaw, Poland
[2] Wroclaw Univ Technol, Elect Fac, Chair Automat Mechatron & Control Syst, PL-50372 Wroclaw, Poland
关键词
Nonholonomic system; Motion planning; Jacobian algorithm; Optimization; CONFIGURATION-SPACE APPROACH; MOBILE MANIPULATORS; MOTION; ALGORITHM;
D O I
10.1007/s11071-015-2288-6
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The motion planning problem for nonholonomic robotic systems is studied using the continuation method and the optimization paradigms. A new Jacobian motion planning algorithm is derived, based on a solution of the Lagrange-type optimization problem addressed in the linear approximation of the system. Performance of the new algorithm is illustrated by numeric computations performed for the unicycle robot kinematics.
引用
收藏
页码:1923 / 1932
页数:10
相关论文
共 50 条
  • [1] Lagrangian Jacobian inverse for nonholonomic robotic systems
    Krzysztof Tchoń
    Adam Ratajczak
    Ida Góral
    [J]. Nonlinear Dynamics, 2015, 82 : 1923 - 1932
  • [2] General Lagrange-Type Jacobian Inverse for Nonholonomic Robotic Systems
    Tchon, Krzysztof
    Ratajczak, Joanna
    [J]. IEEE TRANSACTIONS ON ROBOTICS, 2018, 34 (01) : 256 - 263
  • [3] Jacobian motion planning of nonholonomic robots: The Lagrangian Jacobian algorithm
    Tchon, Krzysztof
    Goral, Ida
    Ratajczak, Adam
    [J]. 2015 10TH INTERNATIONAL WORKSHOP ON ROBOT MOTION AND CONTROL (ROMOCO), 2015, : 229 - 234
  • [4] Dynamically consistent Jacobian inverse for non-holonomic robotic systems
    Krzysztof Tchoń
    Joanna Ratajczak
    [J]. Nonlinear Dynamics, 2016, 85 : 107 - 122
  • [5] On dynamically consistent Jacobian inverse for non-holonomic robotic systems
    Ratajczak, Joanna
    Tchon, Krzysztof
    [J]. ARCHIVES OF CONTROL SCIENCES, 2017, 27 (04): : 555 - 573
  • [6] Dynamically consistent Jacobian inverse for non-holonomic robotic systems
    Tchon, Krzysztof
    Ratajczak, Joanna
    [J]. NONLINEAR DYNAMICS, 2016, 85 (01) : 107 - 122
  • [7] Design and Implementation of an Inverse Dynamics Controller for Uncertain Nonholonomic Robotic Systems
    Shojaei, Khoshnam
    Shahri, Alireza Mohammad
    Tabibian, Behzad
    [J]. JOURNAL OF INTELLIGENT & ROBOTIC SYSTEMS, 2013, 71 (01) : 65 - 83
  • [8] Design and Implementation of an Inverse Dynamics Controller for Uncertain Nonholonomic Robotic Systems
    Khoshnam Shojaei
    Alireza Mohammad Shahri
    Behzad Tabibian
    [J]. Journal of Intelligent & Robotic Systems, 2013, 71 : 65 - 83
  • [9] Extended Jacobian inverse kinematics algorithm for nonholonomic mobile robots
    Tchon, Krzysztof
    Jakubiak, Janusz
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (08) : 895 - 909
  • [10] On the Lagrangian formalism of nonholonomic mechanical systems
    Yoshimura, Hiroaki
    [J]. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol 6, Pts A-C, 2005, : 627 - 633