Problem 4: Draw accurate plot of the root locus with respect to the parameter K for the unity andnegative feedback configuration with the following open-loop transfer functionG(s) =4s(s+1)(s²+s+K)Also, find the range of K for stability of the closed-loop system. Next, redo this problem for thepositive feedback configuration.

Answered: Image /qna-images/answer/cf1ed3b5-015e-41ca-9eeb-ba1931507877.jpg

Answered: Problem 4: Draw accurate plot of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Given the system equipped with unitary feedback, whose direct branch transfer function is: Design a PID controller with one of the Ziegler-Nichols methods.
The open loop transfer function of a unity feedback control system is given below; G(s) = K s(s+2)(s2+2s+2) Plot the root locus and determine the value of k at the break away point.
block diagram pls solve fast As Simplify the multiple loop feedback control system? R(s) G₁ G₂ H3 H₂ + G3 H₁ G₁ Y(s)
5. A feedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root locus. 2)Find the range of K when the system is a stable system.
Problem 4: For the unity (negative) feedback system configuration (i.e., similar to problems 2 and 3 above) with open loop transfer function G(s) = K(S+3), sketch the root locus showing sufficient s(s+2)' details. Next, for the same configuration, assume that we add a new pole at s = -a to the open loop transfer function G(s). Can you (without getting deep into the math) qualitatively show how the root locus changes when a = 0, or a = 1, or a = = 5 (so, there will be three plots you need to show)?
B) For a unity feedback system with the forward transfer function: G(S) K s (1+0.4 s)(1 + 0.25 s) Find the range of (K) to make the system stable (Apply Routh's stability criterion).
Please don't provide handwritten solution ....
Homework: For a unity feedback system with the forward transfer function: K(s + 20) G(s) = s(s + 2)(s+3) find the range of K to make the system stable.
A second order plant with unity feedback is cascaded by a proportional controller as shown. If K is 100, 1. HI. Determine its closed-loop poles Y(s)/R(s). Determine its transfer function of E(s)/R(s) Calculate the steady state error of the following block diagram for a unit step R(s) input. iv. Suggest a method to improve on the steady state error. E(s) K pito 7 (s+2)(s+5) Y(s)
Consider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.
For the system with open loop transfer function given by R(s) K s(s + 1) (s² + 4s +13) where K is the feedback gain. Sketch the root locus a) How many asymptotes are there for this system's root locus? what are asymptote angles? What is the center of asymptotes? C(s) b) Does the root locus cross the imaginary axis? where and what is the value of K at that point? c) Is there any break away, break in points? What is the approximate values of these points?
root locus electrical engineering Don't overthink and reject. Complete the solution as per the given transfer function. No need of quadratic equation just simplify for the exact given transfer function.

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