6. [20 points) For the system in Fig. 4, suppose a, b, ki and k2 are positive gains. (1) Find the transfer function from
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6. [20 points) For the system in Fig. 4, suppose a, b, ki and k2 are positive gains. (1) Find the transfer function from
6. [20 points) For the system in Fig. 4, suppose a, b, ki and k2 are positive gains. (1) Find the transfer function from r to y and calculate its DC gain. (2) Suppose the system is perturbed by da, i.e., a = a+da. Compute the Bode's sensitivity. Is it possible to choose ki and k2 so that the sensitivity – 02 Show all your steps and provide reason to support your answer. (3) Suppose the system is perturbed by db, i.e., b = 6+86. Compute the Bode's sensitivity. Is it possible to choose ki and k2 so that the sensitivity – 02 Show all your steps and provide reason to support your answer. ki pe b s+a Figure 4: System diagram for problem 5.
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