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2 years ago in Robotics By Sumitra M

What is the role of the condition number in robotic analysis?

What does the condition number quantify in the context of robotic kinematic and dynamic analysis?

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By Umar Nasiru Answered 1 year ago

The condition number quantifies a matrix's sensitivity to input errors or numerical instability. In robotics, it's crucial for analyzing kinematic Jacobians and Hessians in control/optimization. A high condition number indicates an ill-conditioned system near singularity, where small changes cause large output variations, leading to control issues, force amplification, or loss of manipulability. Thus, it's used to design stable, dexterous robots and avoid singular configurations that degrade performance and precision.

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