Transient response Flashcards

1
Q

How do we know if our system will have an oscillatory response?

A

oscillatory response arrises from a cplex conjugate pole pair
s = - ø ± jwd

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2
Q

On a pole-zero map, how can we find second order system parameters?

A

Real part - rate of exponential decay (zeta x w0)
imaginary part - oscillation frequency (wd)

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3
Q

How is the time response of a first order system determined?

A

K/ ts +1
K is steady state value
t is the time constant
1st order system has exponential approach to steady state

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4
Q

Express oscillation frequency in terms of zeta and natural frequency

A

wd = √(1-z^2) + wo

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5
Q

In terms of poles and zeros, when is a system unstable?

A

When the real part of the number is in the RHP

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