Q8. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k¡ on the real axis and k2 on the imaginary axis. 3. Assume (k = k, = u=1) ,compute the ESS.

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Q8. For the second order system shown below:
1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained
precisely.
2. Plot the range of the-k, on the real axis and k2 on the imaginary axis.
3. Assume (k¡ = k2 = u=1),compute the ESS.
4. For ramp input(u) and the gain values as in 3, determine the ESS.
5. If ESS #0 in 3 and u(t) = t, modify (k¡s+k2)/s) controller to make ESS = zero.
6. Verify your results.
k,s + k,
1
s+10
Transcribed Image Text:Q8. For the second order system shown below: 1. Range of gain (kl, k2) for which the closed-loop system in is stable should be obtained precisely. 2. Plot the range of the-k, on the real axis and k2 on the imaginary axis. 3. Assume (k¡ = k2 = u=1),compute the ESS. 4. For ramp input(u) and the gain values as in 3, determine the ESS. 5. If ESS #0 in 3 and u(t) = t, modify (k¡s+k2)/s) controller to make ESS = zero. 6. Verify your results. k,s + k, 1 s+10
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