Q.2 The open-loop transfer function of a unity negative feedback system is G(s) = , where T₁ > 0, T₂ > 0. Try to solve the following problems. s(T₁s+1)(T₂S+1)' 1) Draw the Nyquist plot of the open-loop transfer function, with @= (0,+∞); 2) Based on the Nyquist Criterion, determine the condition should be satisfied by T₁ T₂ when the closed-loop system is critically stable. >

Q.2 The open-loop transfer function of a unity negative feedback system is G(s) = , where T₁ > 0, T₂ > 0. Try to solve the following problems. s(T₁s+1)(T₂S+1)' 1) Draw the Nyquist plot of the open-loop transfer function, with @= (0,+∞); 2) Based on the Nyquist Criterion, determine the condition should be satisfied by T₁ T₂ when the closed-loop system is critically stable. >

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. i. A Transfer Function of a system is as shown below. (s+3)(s-4) Y(s) (s-5)(s+ 1)(s + 2) Plot the poles and the zeros for this transfer function in an S-plane. Also, indicate the stability of the system. iL. With the help of block diagrams indicate the basic difference between Positive Feedback and Negative Feedback Closed-Loop Control Systems.
Q1 /A plant has the open loop transfer function shown below, with unity negative feedback and step input with 5 final value . (s+1)(s – 4) (s+2)(s+3) G(s) Build a Simulink model to generate the plant closed loop transfer function. Set the Stop Time as 30sec. plot the step response of the closed loop system. also generate a plot of the closed loop system with sinusoidal input of amplitude 15, Frequency 0.2Hz.
Q1. A) For the following system shown below: (s + 2)(s - 4) s2(s + 3)(s + 5) Find: 1) Forward transfer function, 2) Feedback transfer function, 3) Open loop transfer function, 4) Close loop transfer function, 5) Poles & zeros, 6) plot poles & zeros at s-plan, 7) Type of the system.
0.9/ The unity feedback system of Figure 1, where K(s² + 3s + 30) G(s = s"(s +5) is to have 1/6000 error between an input of 10tu(t) and the output in the steady state. a. Find K and n to meet the specification. b. What are K„ K„ and K„?
8) A certain plant with a transfer function 4–2s G(s) = s2+s+9 is in a unity positive feedback system with a proportional controller Kp .. determine The value of K, such that the closed-loop system will have a damping ratio of 0.707 is.
For a unity feedback system having K (s2 + 6s + 8) G(s) = %3D s2 + 4s + 13 a) Determine the asymptotes. b) Draw the root locus. c) Find the gain at the point (-3+tj0).
Q1 (A): Sketch the Nyquist plot of the unity feedback system that shown in figure (1). Is the close loop system stable? Find the Gain Margin (GM). 110 R(s) G(s) = C(s) G(s) s (s+3)(s+4) Figure (1) 10(s² +14 s+49) Q1 (B): For G(s): = Find ZG (jw) for w= [0.1 1 10 100 1000] " s3-2s²+s-2
Consider the unity negative feedback system depicted in the figure below. The design specification requires a location of dominant poles to yield a 1.2 second settling time and an overshoot of 15%. If a compensator with a zero at -0.5 is used to achieve the specification, find the approximate location of compensator pole. K G(s) (s + 5)³ R(s) C(s) G(s)
(C): For the unity feedback system shown, find the steady-stalte error for input of 30u(t). 500 G(1) = %3D (++24)(s2 +&+ 14)
The open-loop transfer function of a unity feedback system is given by G (s)%3D 5000 s(s2+80s) What is the system type?
For the electric circuit given in the figure;a) Obtain the transfer function between V2(s) and V1(s).b) Calculate the gain value and time constant of the system in steady state as C=2MicroFarad, R1=R2=1Mohm.c) According to the values given in option B, obtain the expression to be obtained at the output for the unit step input by using the residual sum method.
Q-2 A unity feedback System has a forward Transfer Function G(s) 100(s+1)/(s^2+7s+10)] a) Draw the Signal Flow Graph in cascaded form. CLO2 b) Represent the closed loop System in State Space form. CLO2