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Calulation of D matrix (Race driver model paper) #1

@PrakritTyagi

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@PrakritTyagi

Hi,
I was following the race driver model to follow the derivation. I can't get my head around on how the D matrix was calculated.
image
Above is the parameterized equation of x(t). Which is double differentiated with respect to t and then converted from sum to matrix form.
image
Finally a substitution is made to get the equation in alpha.
image

I tried deriving this on paper for simplistic 5 centerline point on track where D matrix would be 5x5 but could not succeed. I feel some of the steps are skipped in the paper. Do you have a detailed view of this?

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