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automatic control systems

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QUESTION 1: (35 points) The transfer function of the components of a control system is given as follows: ?????: ?(?) = 2 5? 2 + 1.6? + 4 ??????????: ?? (?) = ??(1 + 0.5 ? ) a) Obtain the values of ?? that makes the system stable. (10 pts.) b) If gain margin is 1.185, find the value of ??. (5 pts.) c) For the value of ?? found in part (b), find the phase margin. (10 pts.) d) Find the value of time delay that will make the system at part (b) be marginally stable. (10 pts.)

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