how to find characteristic equation from state space model?

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RoBoTBoY
RoBoTBoY 2020년 6월 17일
댓글: RoBoTBoY 2020년 6월 18일
Hello community!
I want to find the characteristic equation from this state space model
Also, I want to find a single differential equation for the Vmc.
How to do that in matlab?
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Walter Roberson
Walter Roberson 2020년 6월 17일
ss2zpk is documented as
% [Z,P,K] = SS2ZP(A,B,C,D,IU) calculates the transfer function in
% factored form:
%
% -1 (s-z1)(s-z2)...(s-zn)
% H(s) = C(sI-A) B + D = k ---------------------
% (s-p1)(s-p2)...(s-pn)
% of the system:
% .
% x = Ax + Bu
% y = Cx + Du
But your C and your D are both 0, and you can see that zero times something plus zero is going to be 0, so the zp are going to be 0 and the gain of the system is 0. That leads to an all-zero transfer function.

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