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Note: Course Name: Automatic Control Systems. Please help me to solve this problem step-by-step. And thank very much for your great support and time.

3. (10 points) Suppose the feedback system from problem #2 has a delay of Td seconds in reporting sensor data so that the feedback system is R(s + Y (s) G(s) Delay of Ts The frequency response of G(s) is repeated for convenience. If Td - 0, find the phase and gain margins. What is the maximum value for T< that can be tolerated before the closed loop system becomes unstable? Bode Diagram 50 40 m 30 a 20 C 10 -10 2 -45 ) -90 -135 -180 2 10 3 10 Frequency (rad/s)

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