A unity feedback system has the characteristic equation shown below. Use the Routh- Hurwitz Stability Criterion to find the range of K for stability. Enter the LOWER bound of this range to two decimal places. s+s4+105³ + Ks²+3Ks+K=0
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- 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?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?A unity feedback system has the open loop function G(s)=1/3s3+2s2+0.6s+11 Using RH criterion, Write whether the system is stable or unstable. The system is : Answer
- For the system of Figure 2, ? = 2 s and?(?) =?(? + 0.8)(? − 1)(? − 0.6)Figure 2. Unity feedback system.a) Determine the range of ? for stability using the Routh–Hurwitz criterion.b) Determine the range of ? for stability using the Jury test. For more detailed question you can look at the image.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.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.
- A unity feedback system has loop transfer function: L(s) = Gc(s)G(s) = 4(s+z)/s(s+1)(s+3) a) Draw root locus as z varries from 0 to100 b) using root locus, estimate the percentage overshoot and settling time (within 2%) of system at z =4 c) determine actual overshoot and settling time at z = 4Consider a unity negative feedback system with loop transfer function shown in Figure where L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1)L(s)=GcG(s)=K(s2+6s+1)(s2+5s+1) Determine the value of K for which the closed-loop system is stable.For a unity-feedback system with G(s) = K / s(s + 20)(s + 40) operating with a 20% overshoot, design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot:i. Find the uncompensated system's dominant poles, gain, and settling time. ii. Find the compensated system's dominant poles and settling time. iii. Find the compensator's pole position and required gain. (Assume the compensator’s zero is at -20).
- Below is given the forward transfer function of a unity-feedback system.a) Determine the position, velocity, and acceleration error constants Kp, Kv, and Ka and the steady-state error for step, ramp, and parabolic inputs;b) If possible, use a proportional controller to give a steady-state error for ramp input of e_ss(ramp) ≤ 0.01; c) Determine the controller necessary to give zero steady-state error for a ramp input;d) Determine the controller necessary to give zero steady-state error for aparabolic input.When a unit ramp input is applied to the unity feedback system having closed loop transfer function, C(s)/R(s)= Ks+b/s2+as+b , (a>0, b>0, K>0), the steady state error will be ?The open loop transfer function of unity feedback system is ??(??) = ??????????(??+??)(??+????).1- Assess the stability of the system.2- If the gain ?? is connected in series with G(s) as shown in figure Q1, Determine the range of ?? for stable system.