The paper presents a complete generalized procedure based on the Euler-Lagrange equations to build the matrix form of dynamic equations, called dynamic model, for robot manipulators. In addition, a new formulation of the Coriolis/centrifugal matrix is proposed. The link linear and angular velocities are formulated explicitly. Therefore, the translational and rotational Jacobian matrices can be derived straightforward from definition, which makes the calculation of the generalized inertia matrix more convenient. By using Kronecker product, a new Coriolis/centrifugal matrix formulation is set up directly in matrix-based manner and guarantees the skew symmetry property of robot dynamic equations. This important property is usually exploited for developing many control methodologies. The validation of the proposal formulation is confirmed through the symbolic solution and simulation of a typical robot manipulator.
DYNAMIC MODEL WITH A NEW FORMULATION OF CORIOLIS/CENTRIFUGAL MATRIX FOR ROBOT MANIPULATORS
2020-02-27
doi:10.15625/1813-9663/36/1/14557
Journal of Computer Science and Cybernetics; Vol 36, No 1 (2020); 89--104 ; Tạp chí Tin học và Điều khiển học; Vol 36, No 1 (2020); 89--104 ; 1813-9663 ; 1813-9663 dg
Article (Journal)
Electronic Resource
English
DDC: | 629 |
Inversion Of Jacobian Matrix For Robot Manipulators
NTRS | 1989
|Dynamic Stability of Flexible Robot Manipulators
NTIS | 1991
|Analytic formulation of the kinestatic of robot manipulators with arbitrary topology
BASE | 2002
|