The linearized model for an HIV/AIDS patient treated with RTIs was obtained in Chapter 6 as (Craig, 2004);

a. Consider this plant in the feedback configuration in Figure 10.20 with G(s) = P(s) and H(s) = 1. Obtain the Nyquist diagram. Evaluate the system for closed loop stability.

b. Consider this plant in the feedback configuration in Figure 10.20 with G(s) = -P(s) and H(s) = 1. Obtain the Nyquist diagram. Evaluate the system for closed-loop stability. Obtain the gain and phase margins.

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Y(s) P(s) = U1(s) s +2.6817s2 +0.11s +0.0126 -520s – 10.3844