= 3. What steady-state error can be 1. A system has Kp (i.e., position error constant) expected for the input 8 u(t)? Answer: 2. The closed-loop transfer function of a unity feedback system is given by C(s)/R(s) = 1/[ts+1], then the system velocity error constant K, is (a) t (b) 1/t (c) 1 (d) ∞ (e) 0. Answer: 3. A unity feedback system with forward transfer function G(s) = 1/[s²(s+1)] is subjected to an input r(t) = K1 + K2t + 0.5 t. Then, the steady-state error of the system is (a) o (b) 1 (c) 0 (d) None of the above answers (a), (b) and (c) is correct. %3D Answer: 4. Consider a unity feedback control system with the PI controller F(s) =K + K/s and plant G(s) = 2/(s+4). What value of the integral gain K1 should you choose system has the velocity error constant K, = 40? that the Answer: 5. The forward transfer function of a control system has no zero and three poles at 0, 0, and -5 and the feedback transfer function has one single zero at -1. What is the system type? Answer: 6. A unity feedback system has open-loop transfer function G(s) = K/[s(s+1)(s+2)], K > 0. Find the value of K that results in oscillatory response to step input. %3D Answer:

= 3. What steady-state error can be 1. A system has Kp (i.e., position error constant) expected for the input 8 u(t)? Answer: 2. The closed-loop transfer function of a unity feedback system is given by C(s)/R(s) = 1/[ts+1], then the system velocity error constant K, is (a) t (b) 1/t (c) 1 (d) ∞ (e) 0. Answer: 3. A unity feedback system with forward transfer function G(s) = 1/[s²(s+1)] is subjected to an input r(t) = K1 + K2t + 0.5 t. Then, the steady-state error of the system is (a) o (b) 1 (c) 0 (d) None of the above answers (a), (b) and (c) is correct. %3D Answer: 4. Consider a unity feedback control system with the PI controller F(s) =K + K/s and plant G(s) = 2/(s+4). What value of the integral gain K1 should you choose system has the velocity error constant K, = 40? that the Answer: 5. The forward transfer function of a control system has no zero and three poles at 0, 0, and -5 and the feedback transfer function has one single zero at -1. What is the system type? Answer: 6. A unity feedback system has open-loop transfer function G(s) = K/[s(s+1)(s+2)], K > 0. Find the value of K that results in oscillatory response to step input. %3D Answer:

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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Consider the feedback system. It is known that G(s) has one unstable zero and one unstable pole. On the G(s)-plane -1+j0 point is encircled one time in the clockwise direction as s moves in the clockwise direction on the Nyquist path. What can be said about the closed-loop system? a. Stable O b. C. e. Of. G(s) Has 1 unstable pole Od. Has 2 unstable poles and 1 stable zero Has 1 unstable pole and 1 unstable zero Has 2 unstable poles and 2 unstable zeros Has 2 unstable poles and 1 ustable zero None g.
Chose True or False * True False If a system is subjected to step input, the type of static error coefficient performs the function of controlling steady state error is position. If a type 1 system is subjected to parabolic input, the value of steady state error will be zero . The elements of rotational motion are the Mass, Spring, Friction. the notation represents the feedback path in closed loop system is c(t). The output signal is fed back at the input side from the Summing point. In an integral controller the output is proportional to integral of input. Two loops are said to be non- touching only if no common Branch exists between them. In block diagram representation, the lines connecting the blocks, known as branches. Order of the system can be determined from the e forward path transfer function of the system. A system with transfer function 1/Ts+1, subjected to a unit step input to reach 63.2% of final value, The value of t is T/2.
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A unity feedback system has the characteristic equation shown below. For some gain K the unity feedback system enters into a state of self-sustained oscillations. Use the Routh - Hurwitz Stability Criterion to find the frequency of this self-sustained oscillation in rad/ sec. Enter your answer in decimal form to two decimal places. 4 + 65³ +12s² + 10s + (3+K)
(b) Figure Q.1b(i) shows a feedback system of unit step response of the system in Figure Q.1b(i). Identify the values of K and A Output c() 2.0 1.6 1.2 3 R(s). 0.2 0.4 K Figure Q.thi 0.8 10 1.2 Time (Sec.) Figure Q.10) ((s) 1.6 1.8
PROBLEM-4 ): Consider the following unity feedback closed loop system. For the time domain transient analysis of this system; R(s) a. b. K s(Tx+1) C(s) 0. Obtain the closed loop transfer function TFC(s). From this TF(s), identify the natural frequency @n and damping ratio in terms of K and T? Re- write this TEC(s) in standard form of 2nd order system in terms of w, and ? G. Response c(t) of this system to a unit step input u(t) is given above. Find the value of for maximum overshoot M,-0.1 (10 % OS)? Find the damped natural frequency @a, undamped natural frequency , the values of K and T? (2 d. Find or calculate the time delay ta, rise time t, and 2% settling time ts. Arthave that this evetama dified an
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