Epidemic Model & Control The Infection-Quarantine dynamics of a pandemic are as follows: BSI i = -YI+U N Q=-U-1Q • I, Q

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Epidemic Model Control The Infection Quarantine Dynamics Of A Pandemic Are As Follows Bsi I Yi U N Q U 1q I Q 1 (87.86 KiB) Viewed 27 times

Epidemic Model & Control The Infection-Quarantine dynamics of a pandemic are as follows: BSI i = -YI+U N Q=-U-1Q • I, Q represent infected, quarantine states. 3,7 are the transmission, recovery rates. (1) (2) • S, N are the susceptible and total population. Initially S = N. The values of the parameters are given to be: 3 = 0.2,7 = 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 1 This question is on full state feedback control and carries 3.5+9 points. 1. Is the system controllable? Give the necessary steps. 2. In order to control the infections with a rise time of 10, compute the control gain a. 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.