13. Given the root locus shown in Figure P8.6. [Section: 8.5] a. Find the value of...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...
Please solve with detailed steps and reasoning 6. For the open-loop pole-zero plot shown in Figure P8.4, sketch the root locus and find the break-in point. Section: 8.5] jo s-plane jl 32 -1 FIGURE P8.4 6. For the open-loop pole-zero plot shown in Figure P8.4, sketch the root locus and find the break-in point. Section: 8.5] jo s-plane jl 32 -1 FIGURE P8.4
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The jo-axis crossing c. The range of gain to keep the system stable d. The value of K to yield a stable system with second-order complex poles, with a damping ratio of 0.5 1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The...
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following: (a) Sketch the root locus (b) Find the asymptotes c) Find the value of gain that will make the system marginally stable (d) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at-0.5
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).
For the system shown below, find the followings; (a) Make an accurate plot of the root locus (b) The value of K that gives a stable system with critically damped second-order poles (c ) The value of K that gives a marginally stable sytems Cs) (s-20s- I) 0.5 The characteristic equation (denominator of the closed-loop trans fer function set equal to zero) is given by For the system shown below, find the followings; (a) Make an accurate plot of the...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
6) (15 total points) For the root locus plot shown below: a) b) c) Find the open-loop transfer function G(s) (show as factors) (3 points) Assuming unity feedback H-1, find the characteristic equation of the closed loop transfer function (3 points). Find the gain K that the system goes unstable. Hint: express the characteristic equation in (a) as s2 + 2ơs + -0, and determine the point ơ becomes negative (6 points). Find the natural frequency of the closed loop...
If the initial cone A E Re has a root locus plot started in Figure P1. Determine the following about the root locus determine a) the transfer f a) Of points A, B & C indicated on the real axis which are on the root locus? Ans b) the DC gain of b) How many zeros are there at infinity? Ans c) What angles do the infinity zero asymptote(s) make with the positive real axis? Ans d) Where do the...
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...