Module 9 : Robot Dynamics & controls
Lecture 31 : Robot dynamics equation (LE & NE methods) and examples

Theorem:

  Define the matrix then is skew symmetric matrix, that is, The component of N satisfy
 

Proof:

we have

For a given D matrix kjth component is given by

kjth component of is

 

Since inertia matrix D(q) is symmetric, i.e.

  It follows that by interchanging the indices k and j .
  This skew symmetry property is very important from control perspective.Once again note that D(q) is symmetric , positive definite & non singular matrix.
   
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