The linearized model of HIV infection when RTIs are used for treatment was introduced in Chapter 4 and repeated here for convenience (Craig, 2004):

T represents the number of healthy T-cells, T* the number of infected cells, and v the number of free viruses.

a. Design a state-feedback scheme to obtain
(1) zero steady-state error for step inputs
(2) 10% overshoot
(3) A settling time of approximately 100 days the system’s transfer function has an open-loop zero at approximately -0.02. Use one of the poles in the desired closed-loop-pole polynomial to eliminate this zero. Place the higher-order pole 6.25 times farther than the dominant pair.

b. Simulate the unit step response of your design using Simulink.

Transcribed Image Text:

--0.04167 -0.0058 T 0.0217 -0.24 0.0058 T 100 -2.4 5.2 +|-5.2 u1 y = [0 0 1] T*