A Workspace Solution Method for Flexible Supported Industrial Robots
A technology for industrial robots and workspaces, applied in instruments, manipulators, manufacturing tools, etc., can solve problems such as terminal accuracy deterioration, terminal large workspace, system vibration, etc., and achieve the effect of suppressing disturbances
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[0033] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.
[0034] Introduction to basic principles
[0035] (1) Instructions for solving kinematic position Jacobian matrix and position Hessian matrix
[0036] Using the D-H homogeneous coordinate change rule to obtain the mutual mapping matrix between the end coordinates and the base coordinates of industrial robots The position Jacobian matrix can be expressed as:
[0037]
[0038] The Hessian matrix H is to use the Jacobian matrix to re-align [θ 1 ,θ 2 ,θ 3 ] Derivation:
[0039]
[0040] (2) The local condition number (abbreviation: KCI) solution method of the industrial robot kinematic index position Jacobian matrix
[0041] Index range 1≤KCImin Indicates the minimum singular value of the position Jacobian matrix, σ max Indicates the largest singular value of the positional Jacobian matrix. The KCI index is usually aimed a...
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