Karl Time Domain Flashcards
What is the R(s) of an impulse signal
1/s
What is the R(s) of a ramp signal?
1 / s^2
What is the R(s) of a parabolic signal?
2 / s^3
What is the settling time?
It is the time taken for the output to settle within 2% of the steady state value.
What is the rise time?
It is the time taken for the output to rise from 10%-90% of the steady state value for responses without overshoot or 0-100% for responses with overshoot.
What is the peak time?
It is the time taken to reach the peak of the overshoot.
What is Steady State error?
It is the difference between the steady state value and the reference value.
What is Peak Response?
It is the magnitude of the peak overshoot.
What is the % overshoot?
It is the amount that the peak exceeds the steady state value:
%OS = Mp - Yss / Yss
What is the equation for Steady State Error?
Ess = lim(s->0) s * R(s) * (1-T(s)) Where T(s) is the closed loop transfer function.
When can we apply the final value theorem?
When the denominator has negative real parts and only one root at the origin.
If the system has a step input of 2, what is the R(s)?
2/s because it is two multiplied the by a unit step input which is 1/s.
What is the type number of a system and what does it tell us?
The type number is the number of poles at the origin. It tells us about the steady state error of the system.
What is the steady state error for impulse, ramp and parabolic inputs to a type zero system?
Impulse: finite
ramp: infinite
parabolic: infinite
What is the steady state error for impulse, ramp and parabolic inputs to a type one system?
Impulse: 0
Ramp: finite:
Parabolic: infinite