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    In a control system, the bandwidth of a system roughly measures:
    Question

    In a control system, the bandwidth of a system roughly measures:

    A.

    Phase crossover frequency

    B.

    Undamped natural frequency

    C.

    Resonant frequency

    D.

    Gain crossover frequency

    Correct option is D

     Bandwidth (BW) is defined as the frequency at which the magnitude of the closedloop system is equal to 0.707. The bandwidth indicates the frequency range for which satisfactory operation occurs. It roughly measures the gain crossover frequency. Gain crossover frequency (ωgc) is the frequency at which the gain magnitude of theclosed loop system is equal to one. Phase crossover frequency (ωpc) is the frequency at which the phase of the closedloop system is equal to ±180. In control system the bandwidth of a system roughly measures gain crossoverfrequency. The gain crossover is the frequency at which the open-loop gain firstreaches the value 1 and so is 0.005 Hz.\begin{aligned}&\bullet \ \text{Bandwidth (BW) is defined as the frequency at which the magnitude of the closed} \\&\quad \text{loop system is equal to } 0.707. \\&\bullet \ \text{The bandwidth indicates the frequency range for which satisfactory operation occurs.} \\&\bullet \ \text{It roughly measures the gain crossover frequency.} \\&\bullet \ \text{Gain crossover frequency } (\omega_{gc}) \text{ is the frequency at which the gain magnitude of the} \\&\quad \text{closed loop system is equal to one.} \\&\bullet \ \text{Phase crossover frequency } (\omega_{pc}) \text{ is the frequency at which the phase of the closed} \\&\quad \text{loop system is equal to } \pm 180^\circ. \\&\bullet \ \text{In control system the bandwidth of a system roughly measures gain crossover} \\&\quad \text{frequency. The gain crossover is the frequency at which the open-loop gain first} \\&\quad \text{reaches the value 1 and so is } 0.005 \ \text{Hz.}\end{aligned}​​

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