Transformation of state space model
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I have a state space model with 23 states, 5 inputs and 9 outputs. So the matrices A,B,C and D are known.
I am looking for a way to calculate the state space model for a different set of inputs and outputs, by transforming the initial matrices A,B,C and D?
Example: Let's say that the initial system is:
X' = A.X + B.U with U = [u1 ; u2 ; u3 ; u4 ; u5] and X is the state vector.
Y = C.X + D.U with Y = [y1 ; y2 ; y3 ; y4 ; y5 ; y6 ; y7 ; y8 ; y9]
and A, B, C and D are known.
How can I transform this model into a new model with another set of inputs and outputs like:
U_new = [y1 ; y2 ; y3 ; y4 ; y5]
Y_new = [y6 ; y7 ; y8 ; y9]
which are basically two subsets of the original output vector Y.
Is it possile without transforming the State Space Model into Transfer Functions?
I appreciate your help.
Best regards. A1ireza