Question: The linearized model of a particular network link working under TCP/IP and controlled using a random early detection (RED) algorithm can be described by Figure

The linearized model of a particular network link working under TCP/IP and controlled using a random early detection (RED) algorithm can be described by Figure 10.20 where G(s) = M(s)P(s); H = 1, and (Hollot, 2001)

140625 0.1s (s+2.67)(s+ 10) 0.005L M(s) = P(s) = s+0.005

a. Plot the Nichols chart for L = 1. Is the system closed-loop stable?

b. Find the range of L for closed-loop stability.

c. Use the Nichols chart to predict %OS and T_s for L = 0.95. Make a hand sketch of the expected unit step response.

d. Verify Part c with a Simulink unit step response simulation.

140625 0.1s (s+2.67)(s+ 10) 0.005L M(s) = P(s) = s+0.005

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