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QUESTION 2 The open loop transfer function of a closed-loop control system with unity negative gain feedback is \frac{K}{s(s+3)(s^2+6s+64)}, Write a MATLAB program to do the following: (a) Plot the root locus of the system [10] (b) Determine the closed-loop gain that gives an effective damping ratio of 0.707. [3] (c) Does the closed-loop system have the desired behavior, that is, does it behave like a pure second order system with damping ratio $\zeta = 0.0707$? Plot a step response to compare the results of closed to open loop system [10]

          QUESTION 2
The open loop transfer function of a closed-loop control system
with unity negative gain feedback is
\frac{K}{s(s+3)(s^2+6s+64)},
Write a MATLAB program to do the following:
(a) Plot the root locus of the system
[10]
(b) Determine the closed-loop gain that gives an effective
damping ratio of 0.707.
[3]
(c) Does the closed-loop system have the desired behavior, that
is, does it behave like a pure second order system with
damping ratio $\zeta = 0.0707$? Plot a step response to compare
the results of closed to open loop system
[10]

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QUESTION 2
The open loop transfer function of a closed-loop control system
with unity negative gain feedback is
(K)/(s(s+3)(s^2+6s+64)),
Write a MATLAB program to do the following:
(a) Plot the root locus of the system
[10]
(b) Determine the closed-loop gain that gives an effective
damping ratio of 0.707.
[3]
(c) Does the closed-loop system have the desired behavior, that
is, does it behave like a pure second order system with
damping ratio ζ = 0.0707? Plot a step response to compare
the results of closed to open loop system
[10]

Added by David A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhat Tyagi

Step 1

```MATLAB % Import necessary libraries import control.*; % Define the open-loop transfer function numerator = [1]; denominator = [1, 3, 6, 64]; G = tf(numerator, denominator); ``` (a) Plot the root locus of the system ```MATLAB % Plot the root Show more…

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QUESTION 2 The open loop transfer function of a closed-loop control system with unity negative gain feedback is K Gs= s/(s^3+6s^2+64s+64) Write a MATLAB program to do the following (a) Plot the root locus of the system [10] (b) Determine the closed-loop gain that gives an effective damping ratio of 0.707. [3] (c) Does the closed-loop system have the desired behavior, that is, does it behave like a pure second order system with damping ratio = 0.707? Plot a step response to compare the results of closed to open loop system [10]

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