Epidemic Model Control The Infection Quarantine Dynamics Of A Pandemic Are As Follows I Bsi Yi U N Q U 1q 1 2 1 (47.85 KiB) Viewed 26 times
Epidemic Model & Control The Infection-Quarantine dynamics of a pandemic are as follows: i= BSI ==yI+U N Q=-U-1Q (1) (2) I, Q represent infected, quarantine states. 3,7 are the transmission, recovery rates. S, N are the susceptible and total population. Initially S = N. The values of the parameters are given to be: 3 = 0.2, y = 0.1. Following is an output feedback strategy to suppress the infection: At any given instance t, an intervention is made by identifying and se lecting U = -al individuals for removal from I and moving them into isolation Q, where a is the rate of test and quarantine.
Problem 2 This question is on frequency response control and carries 3.5+9 points. 1. Find the transfer function I/U (from Infection-Quarantine dynamics), is the system stable? 2. Design a lead compensator U = K to stabilize the infections with a bandwidth of at least 2. s+p 1
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