Using Routh-Hurwitz criterion, determine the relationship between KE edback control system whose open-loop transfer function given below, is stable K G(s) = s[s(s + 10) + T]
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- 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.Since G(s) is the transfer function of the system, draw the root locus of the closed-loop system with negative unit feedback below, clearly stating each step. (Root locus plots drawn using any program such as Matlab etc. will not be considered)Given a unity feedback system with G (s) =K/ s (s+4). What is the value of K for a damping ratio of 0.5?
- 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.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 ?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.
- 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 :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)Consider 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.
- 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.Given a unity feedback system with G(s)= K/s(s+4) , the value of K for damping ratio of 0.5 is A) 1 B) 16 C) 4 D) 2The 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/sec