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30 Cards in this Set
- Front
- Back
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what is the equation for overshoot?
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IMAGE
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what is the equation for settling time?
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image
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what is the equation for natural frequency?
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image
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what is the equation for the damping ratio?
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image
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what is the equation for damped natural frequency?
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image
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how can the steady state gain be determined from the transfer function?
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lim sY(s)
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what is the transfer function of a step input?
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a/s
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what is the position error constant for a system?
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Kp=lim G(s)H(s)
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what is the equation for steady state error of a type 0 system?
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a/(1+Kp)
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what is the transfer fucntion of a ramp input?
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a/s^2
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what is the equation for velocity error constant?
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Kv=lim sGH
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what is the steady state velocity error for a type 1 system?
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SSVL=a/Kv
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what can you tell from the root in the diagram?
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IMAGE
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when the system is marginally stable where to the roots lie on the locus plot?
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on the imaginary axis
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how does the transient component of a system behave?
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the furhter away from the imaginary axis the quicker it dies
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what is the magnitude criterion?
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(k¦N¦)/¦D¦ = 1
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how can the breakaway point be calculated?
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IMAGE
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what is the equation for the magnitude of a first order system?
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IMAGE
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what is the phase lag for a first order system?
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IMAGE
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what is the equatio for the magnitude of a second order system?
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IAMGE
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what is the equation for the pahse lag of a second order system?
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IMAGE
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what is the equation for the resonance frequency?
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IMAGE
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what is the relationship between phase margin and damping ratio
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PM=~ 100dr
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how can closed loop resonance be avoided?
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reduce gain so that to the left of -0.5 gain line on M-circles
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What are the effects of a proportional controller?
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- Reduction or removal of resonant peak
- phase lag increased at low frequencies - slower response at high frequencies - bandwidth has decreased |
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what is bandwidth?
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the ranger of frequencies until gain falls below -3dB
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what is the transfer fucntion of a phase lead controller?
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IMAGE
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how can the maximum phase angle for a phase lead controller be found?
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IMAGE
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how can alpha for a phase lead controller be determined?
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IMAGE
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how can the variable T for a phase loop controller be found?
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IMAGE
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