TransferFunToStateSpace Routine

Summary

Convert transfer function from numerator-denominator to state-space form.

Declaration

Procedure TransferFunToStateSpace(a: TMtx; b, c: TVec; out d: TSample; num, den: TVec);

Description

Convert transfer function in form of a numerator Num and denominator Num in to its state space presentation of the real valued A matrix, B,C vectors and D value. State space system is related to its numerator/denominator representation via the following relation:


               num(s)
       H(s) = -------- = C*(s*I-A)^(-1)*B + D
               den(s)

       dx/dt = Ax + Bu
       y     = Cx + Du

x - input of the system
y - exit of the system