A dynamometer consists of an inner loop having a differentiator feedback, and a main loop which has unityfeedback, as shown below.R(s)E(s)C(s)K,G|(8)K, sHere, the plant has the transfer function G,(s) = -s(s+2)(s+4)Determine the value of K, for which the inner loop will have two equal negative real poles. Where are thesenegative real poles located? Also, determine the range of K, for the determined value of K2, for system stability.aWhat is the value of K, (with K, set to the value determined in part (a)) that will cause the step response of thesystem to break into oscillation? What is the frequency of this oscillation?bWhat is the gain K, when there is a real closed-loop pole at s = -5? Can the step response of the closed-loopsystem be approximated by a second-order, underdamped response?Why or why not?If the second-order step response is justified, find %OS, T, and T, of the step response.

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A dynamometer consists of an inner loop having a differentiator feedback, and a main loop which has unity feedback, as shown below. R(s) E(s) C(s) K, G(9) Here, the plant has the transfer function G, (s) = ; Determine the value of K, for which the inner loop will have two equal negative real poles. Where are these negative real poles located? Also, determine the range of K,, for the determined value of K,, for system stability. What is the value of K, (with K, set to the value determined in part (a)) that will cause the step response of the system to break into oscillation? What is the frequency of this oscillation?

A dynamometer consists of an inner loop having a differentiator feedback, and a main loop which has unity feedback, as shown below. R(s) E(s) C(s) K, G(9) Here, the plant has the transfer function G, (s) = ; Determine the value of K, for which the inner loop will have two equal negative real poles. Where are these negative real poles located? Also, determine the range of K,, for the determined value of K,, for system stability. What is the value of K, (with K, set to the value determined in part (a)) that will cause the step response of the system to break into oscillation? What is the frequency of this oscillation?

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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