1. A feedback control system is shown in Fig. 1. The transfer function of thc plant isG(s)s(s +9)Y(s)R(s)2.G(s)=-s(x+9)KFig. 1. Feedback system for Question 1a. Determine the closed-loop transfer function T(s)= Y(s)/R(s) if K=10.

Given, Transfer function of the plant, Gs=2ss+9 Negative feedback, Hs=K=10

Answered: 1. A feedback control system is shown…

1. A feedback control system is shown in Fig. 1. The transfer function of the ph G(s) = s(s+9) Y(s) R(s) G(s) =- $(s+9) K

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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1. A feedback control system is shown in Fig. 1. The transfer function of the plan G(s) - s(s+9) Y(S) R(s) 2 G(s) =- s(s+9) K Fig. 1. Feedback system for Question 1 Determine the closed-loop transfer function T(s)- Y(s)/R(s) if K=10.
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B-6-14. Consider the unity-feedback system whose feed- forward transfer function is G(s) F K s(s+ 1) The constant-gain locus for the system for a given value of K is defined by the following equation: K s(s + 1) = 1 Show that the constant-gain loci for 0 ≤ K ≤ ∞ may be given by [o(o + 1) + w²]²+ w² = K² Sketch the constant-gain loci for K = 1, 2, 5, 10, and 20 on the s plane.
A feedback system is depicted below in which C(s) is the controller and P(s) is the and the transfer function K plant. The transfer function of the controller is C(s) = S of the plant is given by the transfer function: 1 P(s) = (s+10.0) (s+9.0) R E Y C(s) P(s) a) Find the values of K, for which the system is just unstable (oscillating). Use a Routh array. b) Use the Ziegler-Nichols ultimate sensitivity method to calculate K for a P controller. c) What is the oscillation frequency of the system in Part (b) with K = K₂ ?
a : Obtain the Unit-step response of a unity-feedback whose open-loop transfer function is G(s)=5(s+2) /s(s+4.59)(s²+3.41s+16.35) .Find also the steady-state value of the Unit-Step response. b: Find The transfer function for single loop non unity feedback control system are given as G(s)=1/ (s+s+2) „and H(s)=1/ (s+1), Find the steady-state errors due to a unit-step input, a unit-ramp input and a Parabolic input.
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6) Suppose that unity feedback is to be applied around the listed open-loop systems. Use Routh's stability criterion to determine whether the resulting closed-loop systems will be stable. (a) KG(s) 4(s+2) s(s³+2s²+3s+4) (Ь) KG(s) - 2(s+4) s² (s+1) (c) KG(s) = 4(s³+2s²+s+1) s2 (s3+2s² –s-1)
QUESTION 2 K Consider the plant G(s) = under negative unity feedback with gain K>0. Which of the following describes the characteristic equation of the s(s + 30) C(s). R(s) closed-loop system, R(s) + K C(s) s(s+30) O A(S) = Ks(s +30) K A(s) = s(s + 30) O A(s) = s(s +30) O A(s) =s2 + 30s +K
4. a) Find the complete solution for the difference equation y[n] – 0.9y[n-1] = x[n] with the input x[R]= (-1/4)"u[n] and initial condition y[-1]= 1. b) An LTI system has an impulse response h[n] and input x[n] displayed in Figure 2 below. (b.i) Apply the method of convolution by superposition to find and sketch the convolution output y[n] of the system. (b.ii) Determine and sketch the step response of this LTI system.
K Example: Consider a control system with G(s) Design a closed feedback system such that: s(s+1)(0.01s+1)' 1-PM > 40° 2-K, 2 1000 sec-1. 80 60 40 20 -20 -40 -60 -80 -100 90 -90 -180 -270 101 Frequency (rad/s) 10-1 100 102 103 Phase (deg) Magnitude (dB)
1. A feedback control system is shown in Fig. 1. The transfer function of the plant is G(s) =- s(s+9) R(s) Y(s) 2. G(s)=- s(s+9) K Fig. 1. Feedback system for Question 1 a. Determine the closed-loop transfer function T(s)- Y(s)/R(s) if K=10.