- #1
MikeSv
- 35
- 0
Hello everyone.
Iam working on a course in multivariable control theory and I stumbled over the Identity Matrix.
I understand what the identity matrix is, though the use of it is a mistery...
I was reading about going from state space to transfer functions and I found this expressions:
Known:
X'=AX+BU
Taking Laplace transform (with zero initial conditions)
sX(s)=AX(s)+BU(s)
The state equation can be write in the form
(sI−A)X(s)= BU(s)
Now Iam wondering why I would need an Identity Matrix when bringing A to the left sided of the equation?
Thanks in advance for any help,
Cheers,
Michael
Iam working on a course in multivariable control theory and I stumbled over the Identity Matrix.
I understand what the identity matrix is, though the use of it is a mistery...
I was reading about going from state space to transfer functions and I found this expressions:
Known:
X'=AX+BU
Taking Laplace transform (with zero initial conditions)
sX(s)=AX(s)+BU(s)
The state equation can be write in the form
(sI−A)X(s)= BU(s)
Now Iam wondering why I would need an Identity Matrix when bringing A to the left sided of the equation?
Thanks in advance for any help,
Cheers,
Michael