Consider a unity-feedback control system whose open-loop transfer function is K G(s) s(s² + s + 0.5) Determine the value of the gain K such that the resonant peak magnitude in the frequency response is 2 dB, or M, = 2 dB. Jerify your result using Bode Plot

The open loop transfer function for a system is: -0.1s 5e Where: a = 0.6 b = 2.7 Gc(s) = (s + a) (s + b) a) Assuming unity feedback without a controller, complete the following table: rad/s 0.2 dB deg b) Determine the gain and phase margins: i) Phase Margin Pm deg ii) Gain Margin gm dB iii) Will the closed loop be stable? 1 = stable, 2 = unstable, 3 = conditionally stable

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