System Dynamics, Performance Criteria and Systems

Question 1

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How do we model an Impulse Response with a Laplace Transform?

Answer 1

L^-1 {G(s)} = g(t)

Question 2

How can we model a Step Response with a Laplace Transform?

Answer 2

y(t) = L^-1 {G(s) / s}

Question 3

What is the error of a system?

Answer 3

The difference between the set value and the feedback value

Question 4

What is the value of the overshoot of a system?

Answer 4

Maximum value - Set value

Question 5

What is the settling time of a system?

Answer 5

It’s the time it takes for the system to settle to approximately 3-5% of the steady state value

Question 6

What is the value of the rising time of a system?

Answer 6

It’s the time it takes for a system to go from 0.1 to 0.9 of the steady state values

Question 7

When can we approximate a high order system?

Answer 7

When the high order system has a pair of poles that lie close to the imaginary axis compared to the others, we can approximate it with the 2nd order systems ideas