Modern control engineering 4th edition, chapter 6. I would like to understand the details of the method for doing this. Thank you in advance for your answer. (Plot the root loci by MathLAB) Consider a unity-feedback control system with thefollowing feedforward transfer function:KG(s)$(s² + 4s + 8)Plot the root loci for the system. If the value of gain K is setequal to 2, where are the closed-loop poles located?

Step 1: Understand the Transfer Function:The open-loop transfer function can be rewritten as:…

Consider a unity-feedback control system with the following feedforward transfer function: K G(s) $(s² + 4s + 8) Plot the root loci for the system. If the value of gain K is set equal to 2, where are the closed-loop poles located?

Consider a unity-feedback control system with the following feedforward transfer function: K G(s) $(s² + 4s + 8) Plot the root loci for the system. If the value of gain K is set equal to 2, where are the closed-loop poles located?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Modern control engineering 4th edition, chapter 6. I would like to understand the details of the method for doing this. Thank you in advance for your answer. (Plot the root loci by MathLAB)

Consider a unity-feedback control system with the
following feedforward transfer function:
K
G(s)
$(s² + 4s + 8)
Plot the root loci for the system. If the value of gain K is set
equal to 2, where are the closed-loop poles located?

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The block diagram representation of a tachometer feedback speed control system is shown in Figure 4. R(s) + 15.5 C(s) s+1 Tachometer Ko Figure 4 (i). Develop the closed loop transfer function. (ii). Evaluate the value of DC gain K and the time constant T with the assumption of tachometer feedback variable Ko. (ii). The system step response is represented by y = K(1 – e), sketch the step response curve for the system when the tachometer feedback variable Ko. (iv). Write a general MATLAB codes to reduce the block diagram into a single feedback control system, to calculate transfer function and to obtain unit step response and impulse response. (v). Comment on the step response curve which is obtained in (i) and (iv) with respect to K and time constant T. ko=2 k1=2.2 Note: Refer the Table for Ko and K, values.
Pls solve in detail by hand.
this question is under control system design subject
I need the answer as soon as possible
8
7. a) Sketch the root locus of the feedback control system represented by the block diagram in Figure Q.7 for the range: 0 s Ks0. Show the calculations for, and mark clearly on the diagram, the following features: i) the values of the open loop poles and zeros, ii) the intersection point and angle of the asymptotes, iii) the breakaway point iv) the points at which the locus crosses the imaginary axis. b) What is the range of K for the system to be stable? c) At what value of K does the system response become oscillatory? R(s) 20 C(s) s(s +9) K Figure Q.7
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