I was solving a Transfer function problem with multiple input variables. I decided to draw a simplified block diagram of the function but I cannot find any resources that point me to this specific situation.

input variables y and k, output variable t

y" - 5k = t

Laplace Transform would indicate 2 transform functions G1 and G2 assuming zero initial conditions.

s2 Y - 5s K = T

G1 = Y/T = 1/s2

G2 = K/T = -1/5s

Due to the function having two input variables, would the block diagram result in having two blocks that join together in parallel?

Meaning Transfer function of the above equation is... G = G1 + G2 = 5-s / 5s2

Is my reasoning sound? if not, could anyone point me to resources that do?

  • $\begingroup$ Mostly the state space models are built from the fist formula $\endgroup$
    – joojaa
    Commented Mar 10, 2023 at 16:07
  • 1
    $\begingroup$ G1 and G2 are not in parallel since their inputs are not the same signal. Also, is the first equation y'' - 5k or y'' - 5k' ? Also, if t is the output variable, why is the transfer function Y/T instead of T/Y ? $\endgroup$
    – AJN
    Commented Mar 10, 2023 at 16:59


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.