Question: Consider the system in Figure P10.9. a. Find the phase margin if the system is stable for time delays of 0, 0.1, 0.2, 0.5, and

Consider the system in Figure P10.9.

R(s) + E(s) 50 C(s) Delay (s + 2)(s + 5) FIGURE


a. Find the phase margin if the system is stable for time delays of 0, 0.1, 0.2, 0.5, and 1 second.

b. Find the gain margin if the system is stable for each of the time delays given in Part a.

c. For what time delays mentioned in Part a is the system stable?

d. For each time delay that makes the system unstable, how much reduction in gain is required for the system to be stable?

R(s) + E(s) 50 C(s) Delay (s + 2)(s + 5) FIGURE P10.9

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