Skip to content
Tue, Oct 13, 2026 / Ideas for a clearer worldINDEPENDENT INSIGHTS · PRACTICAL TOOLS · EXPLAINERS
Sign in
Control Engineering / July 26, 2021

Steady State Errors

Where, R(s) is the Laplace transform of the reference Input signal r(t)r(t) C(s) is the Laplace transform of the output signal c(t)c(t) We know the transfer function of the unity negative feedback closed loop control system as ote − If any of the above input signals has the amplitude other than unity, then multiply corresponding steady state error […]

Where,

  • R(s) is the Laplace transform of the reference Input signal r(t)r(t)
  • C(s) is the Laplace transform of the output signal c(t)c(t)

We know the transfer function of the unity negative feedback closed loop control system as

ote − If any of the above input signals has the amplitude other than unity, then multiply corresponding steady state error with that amplitude.

Note − We can’t define the steady state error for the unit impulse signal because, it exists only at origin. So, we can’t compare the impulse response with the unit impulse input as t denotes infinity.

Example

Simplify the above block diagram by keeping the unity negative feedback as it is. The following is the simplified block diagram.