03.2 Creating a LTI Object in MATLAB - Part 2 (Conversion)
State-Space to Transfer Function
Method 1 (Analytical)
Say, you know $A,B,C,D$ matrix. Just define a symbolic s and then use the following formula:
\[G(s) = C(sI-A)^{-1}B+D\]syms s
m,n = size(A)
ident_mat = eye(m)
G(s) = C*inv((s*ident_mat-A))B+D
Method 2 (State-Space to Transfer Function)
[num, den] = ss2tf(A,B,C,D)
sys_tf = tf[num,den]