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The block diagram of a linear control system is shown below K(s) P(s) H(s) Figure 1 1 H(s) 10 where K(s)=8, P(s) s+2 s+10 (a). Find the closed-loop transfer function from input r to output y. (b). Find poles of the closed-loop system. (c). Find zero(s) of the closed-loop system. (d). Find the undamped natural frequency, @, , of the closed-loop system. (e). Find the damping ratio, 5 , of the closed-loop system (f). Is the system stable? Why?

The block diagram of a linear control system is shown below K(s) P(s) H(s) Figure 1 1 H(s) 10 where K(s)=8, P(s) s+2 s+10 (a). Find the closed-loop transfer function from input r to output y. (b). Find poles of the closed-loop system. (c). Find zero(s) of the closed-loop system. (d). Find the undamped natural frequency, @, , of the closed-loop system. (e). Find the damping ratio, 5 , of the closed-loop system (f). Is the system stable? Why?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The block diagram of a linear control system is shown below r K(s) P(s) H(s) Figure 1 1 where K(s) = 8, P(s) 10 H(s) s+2 s+10 (a). Find the closed-loop transfer function from input r to output y. (b). Find poles of the elosed-loop system. (c). Find zero(s) of the closed-loop system. (d). Find the undamped natural frequency, @, , of the closed-loop system. (e). Find the damping ratio, 5 , of the closed-loop system (f). Is the system stable? Why?
Transcribed Image Text:The block diagram of a linear control system is shown below r K(s) P(s) H(s) Figure 1 1 where K(s) = 8, P(s) 10 H(s) s+2 s+10 (a). Find the closed-loop transfer function from input r to output y. (b). Find poles of the elosed-loop system. (c). Find zero(s) of the closed-loop system. (d). Find the undamped natural frequency, @, , of the closed-loop system. (e). Find the damping ratio, 5 , of the closed-loop system (f). Is the system stable? Why?
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