Lecture 31 : Robot dynamics equation (LE & NE methods) and examples
Theorem:
Define the matrix then is skew symmetric matrix, that is,
The componentofN 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.