AP9 2 Anesthesia is used in surgery to induce unconsciousness One problem with drug induced unconsciousness is differences in patient responsiveness Furthermore, the patient response changes during an operation A model of drug induced anesthesia control is shown in Figure AP9 2 The proxy for unconsciousness is the arterial blood pressure (a) Obtain the Bode plot and determine the gain margin and the phase margin when T 0 05 s (b) Repeat part (a) when T 0 1 s Describe the effect of the 100 increase in the time delay T (c) Using the phase margin, predict the percent overshoot for a step input for parts (a) and (b) Controller R(s) Desired blood Body dynamics 2(x 5) 2e st S FIGURE AP9 2 Control of blood pressure with anesthesia pressure Sensor 2 $ 2 Y(s) Actual blood pressure

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AP9 2 Anesthesia is used in surgery to induce unconsciousness  One problem with drug induced unconsciousness is differences in patient responsiveness  Furthermore, the patient response changes during an operation  A model of drug induced anesthesia control is shown in Figure AP9 2  The proxy for unconsciousness is the arterial blood pressure  (a) Obtain the Bode plot and determine the gain margin and the phase margin when T   0 05 s  (b) Repeat part (a) when T   0 1 s  Describe the effect of the 100  increase in the time delay T  (c) Using the phase margin, predict the percent overshoot for a step input for parts (a) and (b)  Controller R(s) Desired blood Body dynamics 2(x 5) 2e st S FIGURE AP9 2 Control of blood pressure with anesthesia  pressure Sensor 2 $ 2 Y(s) Actual blood pressure

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Question: AP9.2 Anesthesia is used in surgery to induce unconsciousness. One problem with drug-induced unconsciousness is differences in patient responsiveness. Furthermore, the patient response changes during

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