Question

7. Consider the closed loop system with open loop transfer function \frac{K}{(s + 1)(s + 2)} After you import this system in sisotool: a. Using the root locus, find the gain K such that the system has an overshoot of 4%. b. Plot the system's step response. c. Find the closed loop transfer function.

          7. Consider the closed loop system with open loop transfer function
\frac{K}{(s + 1)(s + 2)}
After you import this system in sisotool:
a. Using the root locus, find the gain K such that the system has an overshoot of 4%.
b. Plot the system's step response.
c. Find the closed loop transfer function.

7. Consider the closed loop system with open loop transfer function
(K)/((s + 1)(s + 2))
After you import this system in sisotool:
a. Using the root locus, find the gain K such that the system has an overshoot of 4%.
b. Plot the system's step response.
c. Find the closed loop transfer function.

Added by Michelle Z.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kirsty Gledhill

Step 1

To find the gain K such that the system has an overshoot of 4%, we can use the root locus method in Matlab. First, open Matlab and import the system into sisotool by typing the following command in the command window: sisotool('s+1/s+2') This will open the Show more…

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Using Matlab 7. Consider the closed-loop system with an open-loop transfer function: K G(S) = s + 1 s + 2 After importing this system into sisotool: a. Using the root locus, find the gain K such that the system has an overshoot of 4%. b. Plot the system's step response. c. Find the closed-loop transfer function.