A controller is designed so that the nominal closed-loop transfer function has bandwidth 0.5 rad/s and rolls off with -4

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answerhappygod
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A controller is designed so that the nominal closed-loop transfer function has bandwidth 0.5 rad/s and rolls off with -4

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A controller is designed so that the nominal closed-looptransfer function has bandwidth 0.5 rad/s and rolls off with-40dB/dec at high frequencies.
If the model has multiplicative uncertainty above 7.2 rad/s,
what is the maximum uncertainty gain in dB that can be toleratedaccording to the Small Gain Theorem?
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