Inertia matrix of my robot is non invertible under some conditions....

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SUMMARY

The discussion centers on the issue of a non-invertible total inertia matrix for a robotic manipulator, specifically under certain joint angle configurations. The manipulator is modeled as a dynamically equivalent system with a fixed base and a spherical passive joint. The user has verified the development steps but encounters a non-invertible matrix, while smaller submatrices remain invertible. This indicates potential issues with the spherical joint's inertia representation or the overall configuration of the manipulator.

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  • Understanding of robotic manipulator dynamics
  • Familiarity with inertia matrix calculations
  • Knowledge of matrix theory and invertibility conditions
  • Experience with modeling robotic systems
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  • Investigate the properties of inertia matrices in robotic systems
  • Learn about the implications of spherical joints on inertia calculations
  • Explore methods for ensuring matrix invertibility in robotic models
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Robotics engineers, researchers in robotic dynamics, and students studying manipulator design will benefit from this discussion.

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Hello,

What could be wrong when the total inertia matrix of a robotic manipulator is non invertible when under certain values of the joint angles?

Thank you
 
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You would be more likely to get useful help if you showed us what your robot looks like and how the inertia matrix was developed.
 
The model is for a dynamically equivalent manipulator (fixed base with spherical passive joint). The model was developed in the attached paper.
I checked all the steps, everything seems fine except for the resulting inertia matrix.
The whole matrix is non invertible but if i divide it into small matrices where the upper right 3 by 3 matrix represents the spherical joint inertia and the lower right n by n matrix represent the rest of the manipulator. Then the manipulator matrix is always invertible and the spherical joint one is not.

If you have just an idea about what might cause the problem, i realize it's a long process to got through all the equation.

Thank you
 

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