Defined domain integral(convoulution) in simulink
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I trying to use simulink to somve the following system:
Where A is a NxN matrix, B is a Nx1 column vector and x(t) and u(s) are known functions.
I thought that handiling the domain of the integration can be done by using a transport delay block and substracting the delayed signal from the non delayed one. But I'm still puzzeld on how to compute the integral. I have treid to use the "Conv" which works for scalar A,B and x but does not work when these are matrices.
Does anyone have some suggestion on the matter?
Thank you in advance.
Paul on 3 Mar 2021
Edited: Paul on 3 Mar 2021
Assuming h is constant and h >= 0 ....
It seems like the model can be expressed as follows:
wdot(t) = A*w(t) + B*u(t)
z(t) = expm(A*h)*x(t) + w(t) - w(t-h) % w(t) - w(t-h) is the value or the integral
These equations can be implemented in Simulink assuming you have an initial condition w(0) and assuming that w(t-h) is known (probably should be w(0)) for t - h < 0.