24 - Forward path transfer function is applied to the below, and the rate of overrun at the output of the sys K G(s) = (s + 2)2 So what is the natural frequency of the system? A) 2.63 B) 4.92 С) 6.67 D) 1.75
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- The margins of stability for K = 12 of the unit feedback system shown in the figure are given below. Phase crossover frequency : Wfc = 2rad/s Gain crossover frequency: wgc = 1.4rad/s Phase Margin = 16.8 degree Amplitude Margin Kg = 6dB (NOTE: Use 3 decimal places in your operations.) a) Calculate the amplitude margin for K 60. b) Calculate the point where the KG(jw) Nyquist Diagram intersects the negative real axis for K 60.A unity feedback system has a forward transfer function given below. Find the value of K to yield a static error constant of 25,000. 18922.17 18992.17 18292.17 18229.17When 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 ?
- 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.The unity feedback system with loop transfer function is given as . Gc(s)G(s)=50/s(s+40) the bandwidth of the closed-loop system. 6.4 rad/sec3.2 rad/sec12.8 rad/sec1.29 rad/secA 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.
- Sketch the root locus for unity feedback system with following forward gain function: KG(S) = K(S+1)(S2+2)/S2-9 For what range of K is system stable & unstable.A Unity feedback control systemG(s)10/((s+1)(s+3)(s+20)) and Gc(s)=21(s+1).A)what is the settling time, percentag eovershoot and time to first peak?B) given gain and phase margin and sketch bode plot ?The unit in the figure below is given as G (s) in feedback system. When a unit ramp is applied to the input of the system, the steady-state error is 0.4% and when the unit step is applied to the input, the settlement time is desired to be 50 ms. So which of the following is a pole value of the closed-loop transfer function? G(s)=k/s(s+a)
- 117 57188 r(t)=3t determine steady state error.If it is desired to reduce this existing error by 7% fined new value of gain of the system. Q.1 - The open loop transfer function for a unity - feedback systemis ~ G(s) = andForward path transfer function in a unit feedback system is given as follows. What value should the K gain be to make the steady state error 37.3% ? (No matter which sign to apply)Open loop function of a unity feedback system is given by G(s)=K(s+A) / s(s+1.4)(s+2.9)(s+3.2) For drawing root locus, if the value of Centroid is -2, then The value of A is :