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| Explain Fundamental law of algebra |
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| what's definition of Laplace Transform? |
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| Give 5 properties of Laplace Transform |
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| explain why final value thm works |
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| what is impulse response? |
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| impulse response is also the transfer function |
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| what does it mean by a system is time-invariant? |
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| if input is shifted by t1 then output is also shifted by t1 |
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| what does it mean by a system is causal? |
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| output at time t depends only on input up to time t |
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| what does it mean by a system is linear? |
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| what is low frequency gain or DC gain? |
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| what is bandwidth of a system? |
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| give all the rule related to Bode Plots |
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| give a function H(s), convert it to Bode form |
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| what is voltage across capacitor? |
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| what is voltage across inductor? |
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| what's the goal of simplifying block diagram? |
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| give all rules related to simplifying block diagrams |
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| if there are multiple inputs for a system in block diagram, how to find expression from any input to the output? |
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| what are rise time and settling time for first order system? |
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| give out equations for 2nd order system |
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| in 2nd order system, when there are complex roots in pole, what will happen? |
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| in 2nd order system, when Wn goes up, what will happen to tr,ts,tp,os? |
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| in 2nd order system, when damping ratio goes up, what will happen to tr,tp,ts,os? |
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| in first order system, when is the system unstable? |
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| for 2nd order system, as the poles move toward the real axis while maintaining a fixed distance from the origin, what will happen? |
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less oscillation
damping ratio increase |
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| what's rise time or 2nd order system? |
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| what's settling time for 2nd order system? |
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| what's peak time for 2nd order system? |
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| what's peak amplitude for 2nd order system? |
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| how is peak amplitude and peak time related? |
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| what will happen when you add a zero in LHP? |
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| what will happen when you add a zero in RHP? |
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| what will happen when you add a pole in LHP? |
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| what will happen when Wn is increased? |
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| faster response, tr decrease, tp decrease, t2 decrease |
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| what will happen when damping ratio is increased? |
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| OS decrease, ts decrease, tp increase |
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| describe the locations of Os, Wn, o, Wd for 2nd order system |
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| what's a necessary condition for a system to be stable? |
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| all coefficients are positive |
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| for routh test, how to know how many poles are in ORHP? |
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| in routh test, how to avoid situations when a term is divided by 0? |
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| use E, a really small number |
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| represent H(s) in terms of Np, Dp, Nc, Dc |
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| what does it mean by if a signal is bounded? |
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| what does it mean by if a signal is unbounded? |
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| what does it mean by a system is bounded-input bounded-output stable? |
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| every bounded input leads to a bounded output. Also means stable |
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| what does it mean by unstable |
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| at least one bounded input produces unbounded output |
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| behave like input given no disturbance |
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| what are the mathematical equations for good tracking? |
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| what is disturbance rejection? |
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| no effect on disturbance given no input |
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| what is the mathematical equation for good disturbance rejection? |
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| what is sensitivity of the transfer function? |
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| for good robustness, what sensitivity do we want? |
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| represent P(s)C(s) in another way |
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| with system type of X, what type of input can we track perfectly? |
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| with system type of X, what type of input can we track with finite error? |
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| with system type of X, what type of input we can't track? |
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| give an equation for tracking |
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| why do we have PI controller? |
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| it can track error perfectly for step input |
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| what's the disadvantage of PI controller? |
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| only some systems can be stablized |
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| why do we have PID controller? |
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| it can track error perfectly for step input and all system can be stablized |
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| to reduce noise, do you prefer using integrator or differentiator? |
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