Question

Given the following system: +\\ R(s) - K + D(s)\\ 5(s+5)(s+20) Y(s) a) Find Y(s) b) Now if the disturbance enters the system as shown in the figure, we want to reduce the steady state\nerror due to disturbance, D(s) = 5/s to 0.5. Find K (Set R(s) =0)\ To answer the following problems, set D(s) =0 c) Find the range of K for which the closed-loop system is stable.\nd) If one of the closed-loop poles is at s = -22, obtain the following information.\ni) K: \nii) Other two poles: \niii) Dominant Poles:

          Given the following system:
+\\
R(s) - K + D(s)\\
5(s+5)(s+20) Y(s)
a) Find Y(s)
b) Now if the disturbance enters the system as shown in the figure, we want to reduce the steady state\nerror due to disturbance, D(s) = 5/s to 0.5. Find K (Set R(s) =0)\
To answer the following problems, set D(s) =0
c) Find the range of K for which the closed-loop system is stable.\nd) If one of the closed-loop poles is at s = -22, obtain the following information.\ni) K: ____\nii) Other two poles: ____\niii) Dominant Poles: ____

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Given the following system:
+

R(s) - K + D(s)

5(s+5)(s+20) Y(s)
a) Find Y(s)
b) Now if the disturbance enters the system as shown in the figure, we want to reduce the steady statedue to disturbance, D(s) = 5/s to 0.5. Find K (Set R(s) =0)To answer the following problems, set D(s) =0
c) Find the range of K for which the closed-loop system is stable.) If one of the closed-loop poles is at s = -22, obtain the following information.∋) K: ) Other two poles: ) Dominant Poles:

Added by Asunci-N M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Arjun Singh

Step 1

Given D(s) = 5/s and G(s) = K / (s^2 + 4s + 5), we can substitute these values into the formula: Y(s) = (5/s) * (K / (s^2 + 4s + 5)) / (1 + (5/s) * (K / (s^2 + 4s + 5))) Simplifying this expression, we get: Y(s) = 5K / (s^3 + 4s^2 + 5s + 5K) b) To reduce the Show more…

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Given the following system: D(s) Given the following system: K (0245)(545)5 R(s) a) Find Y(s) b) Now if the disturbance enters the system as shown in the figure, we want to reduce the steady state error due to disturbance, D(s) = 5/s to 0.5. Find K (Set R(s) = 0) To answer the following problems, set D(s) = 0 c) Find the range of K for which the closed-loop system is stable d) If one of the closed-loop poles is at s = -22, obtain the following information i) K ii) Other two poles: iii) Dominant Poles:

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