canonical form/eigenvalues/matricies

[edofbrighton]

hello,
I'm having some trouble with a question and want to know if anyone can help. I've been asked to find a matirx with the same eigen values as the matrix below in controllable canonical form using matlab. I'm not entirely sure what controllable canonical form is the (the lecturers explanation is poor at best), or how to use the eigen values to find new matrix.

thanks,
ed.
3-by-3 matrix:

[18 12 12
-18 -12 -11
-17 -11 -12]

 

[dknguyen]

I forget so much about this stuff and I use to know it moderately well but never needed to use it.

Eigen values is very easy to find in MATLAB. I think the command is just eig() or something like that.

A CCF matrix is just a matrix of a particular form that useful for state space systems (mostly zeroes with a diagonal of values or 1s or somethign like that. It should have beeen given to you or you can google for how it looks online. It's values represent the values of control system with a chain of differentiators and integrators.

Unfortunately I totally forget anything else about thsi matter.