The block diagram of a linear control system is shown in Figure 5. The fixed parameters of the system are given as T=0.1,J = 0.01, K=0.1, and K, = 10. Assume reference input R(s)=0. Find the value of K, so that the complex roots of the characteristic equation will have a real part of -2.5. Obtain all the three roots of the characteristic equation. D(s) R(s) E(s) K₁ 1 K 1+ Ts Figure 5 Ks 2 Js² C(s)
The block diagram of a linear control system is shown in Figure 5. The fixed parameters of the system are given as T=0.1,J = 0.01, K=0.1, and K, = 10. Assume reference input R(s)=0. Find the value of K, so that the complex roots of the characteristic equation will have a real part of -2.5. Obtain all the three roots of the characteristic equation. D(s) R(s) E(s) K₁ 1 K 1+ Ts Figure 5 Ks 2 Js² C(s)
Understanding Motor Controls
4th Edition
ISBN:9781337798686
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter54: The Operational Amplifier
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Please solve the following by hand and without the use of AI. Thank you!

Transcribed Image Text:The block diagram of a linear control system is shown in Figure 5. The fixed
parameters of the system are given as T=0.1,J = 0.01, K=0.1, and K, = 10. Assume reference
input R(s)=0. Find the value of K, so that the complex roots of the characteristic equation will have
a real part of -2.5. Obtain all the three roots of the characteristic equation.
D(s)
R(s)
E(s)
K₁
1
K
1+ Ts
Figure 5
Ks
2
Js²
C(s)
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