Consider a unity feedback system as shown in Fig. 1 where the plant G(s) can be modelled as 100 G(s): (s + 2)(s + 4)(s + 10) Proportional Controller Process R(4) Y(s) K, Figure 1: Unity Feedback Systems Investigate the stability of the system by finding: (6) the practical range of safe operating gains Kp. (ii) corresponding frequency of oscillation. the gain at which the closed loop system becomes marginally stable and the

Consider a unity feedback system as shown in Fig. 1 where the plant G(s) can be modelled as 100 G(s): (s + 2)(s + 4)(s + 10) Proportional Controller Process R(4) Y(s) K, Figure 1: Unity Feedback Systems Investigate the stability of the system by finding: (6) the practical range of safe operating gains Kp. (ii) corresponding frequency of oscillation. the gain at which the closed loop system becomes marginally stable and the

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...

See similar textbooks

Similar questions

Consider the unity feedback system with the following root locus for K>0. Find the approximate value of K which leads to the maximum possible overshoot of the closed loop system. Also, find all ranges of K for which the system is overdamped and as well as the steady state error to a unit step input.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?
Consider the feedback system given the open loop transfer function below G(s)H(s) = K / ( S (s+3) (s+2)) a) Using the Routh-Hurwitz criterion, for which value of K, the poles of the closed-loop system take the pure imaginary value.b) What will be the maximum value of K for the system to be stable?c) Calculate the value of K, where the real value of the complex root of the system is Re{s}=-1. Tip 1: Closed loop transfer function T(s) = G(s) / ( 1+ G(s)H(s)) .Routh HurwitzIn order to perform the criterion analysis, the denominator of the closed-loop function will be examined. Tip 2: The real value of the system complex root Re{s}=-1 is expressed by the following formula f^2(s) = p(s-1) p(s) is the payoff of the closed-loop function.
In the feedback system given below; G1(s) = 5*K, G2 (s)= 1/s(s+4*4), H(s)= 1 given as time to settle down Ts ≤ 4 s and if the percent overshoot is Y*5 ≤ 5%, then what is the K value and damping ratio? For the K value you found above, the input signal r(t) is a unit step Calculate the steady state error.
For the feedback amplifier circuit shown below, find the output voltage if the parameters of the circuit are as follows: R1 = 5.3 kΩ, R2 = 5.5 kΩ, V1 = 3.8 mV, V2 = 6.6 mV. Give the answer calculated to 1.d.p.
The voltage gain of an ampliﬁer is described by A(s)= 4π2 ×1018s2 / (s+200π)(s+2000π)(s+2π ×106)(s+2π ×107) (a) What are the mid-band gain and upper- and lower-cutoff frequencies of this ampliﬁer? (b) If this ampliﬁer is used in a feedback ampliﬁer with a closed-loop gain of 100 , what are the upper-and lower-cutoff frequencies of the closed-loop ampliﬁer? (c) Repeat for a closed-loop gain of 40.
A unity-feedback system has forward transfer function (see attached). a) Sketch the root locus for this system as K varies from 0 to ∞; b) Use the Routh-Hurwitz test to determine the range of K for the system to be stable; show this value of K on the root locus plot.
A differential amplifier is connected to a supply of Vs = ±10V, and has a nominal gain of 4x105. What is the maximum amplitude of the input differential voltage for the amplifier to work in linear region, i.e. for the output to remain undistorted? Write your answer in standard scientific notation in "e" format. General formulation of the standard scientific notation is: a × 10b , where 1 ≤ a < 10. E format shows that as "aeb". For example, for 2.3 * 105 write 2.3 e5 , or for 1.7*10-3 write 1.7e-3.
Refer to the circuit shown, where the op amp is assumed to be ideal. Given that Ra=3 kΩ, Rb=5 kΩ, Rc=25 kΩ, va=150 mV, vb=100 mV, vc=250 mV, and VCC=±6 V, specify the range of Rf for which the op amp operates within its linear region.
Consider a unity feedback system with G(s) = K (s+1)/(((s+1)^2+5^2)*(s+3)). Find the angle of departure of the root locus from the complex pole containing the positive imaginary part. Express the angle in radians in [-pi,+pi] and degrees in [-180,+180]. Sketch the root locus accurately.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a?
Consider the unity-feedback control system with the following feedforward transfer function: G(s) = K / s(s2+4s+5) (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.