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• ### 2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations...

2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations of open-loop poles with X and zeros with O on an s-plane. b. Find the number of segments in the root locus diagram based on the number of poles and zeros. c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles for...

• ### Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sk...

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...

• ### For the unity feedback system below, with For the unity feedback system below, with G(s) s...

For the unity feedback system below, with For the unity feedback system below, with G(s) s 5) (s 6) C(s) G(s) 1 Draw Clearly the root locus 2- Find the break-in and breakaway points

• ### For the unity feedback system, where G(s) =-s-2)(s-1) make an accurate plot of the root locus...

For the unity feedback system, where G(s) =-s-2)(s-1) make an accurate plot of the root locus and find the following: (a) The breakaway and break-in points (b) The range of K to keep the system stable (c) The value of K that yields a stable system with critically damped second-order poles (d) The value of K that yields a stable system with a pair of second-order poles that have a damping ratio of 0.707

• ### K(z-15). Connected in the Assume a system, G[2]-z-ls, conventional negative unity, output feedbac...

Need help with this. Please show all your steps. K(z-15). Connected in the Assume a system, G[2]-z-ls, conventional negative unity, output feedback configuration. The only adjustable parameter in the Pl controller for this problem is the gain. (a) Find the real axis line segments in the complex z-plane that belong to the Root Locus 5. and a PI controller, C[z] associated with the closed-loop poles of this system. The Root Locus is drawn for the forward gain in the system...

• ### Sketch the root locus for the unity feedback system shown in Figure P8.3 for the following...

Sketch the root locus for the unity feedback system shown in Figure P8.3 for the following transfer functions: (Section: 8.4] K(s + 2)(8 + 6) a. G(s) = 52 + 8 + 25 K( +4) b. G(S) = FIGURE PR3 152 +1) C G(s) - K(s+1) K (n1)(x + 4) For each system record all steps to sketching the root locus: 1) Identify the # of branches of the system 2) Make sure your sketch is symmetric about the real-axis...

• ### (10 points each) Given the following unity feedback system 3. E(s) R(s) C(s) 080-00 Figure 3 Where Go) DXG+3%6+5) 2(s +2) Find stability, and how many poles are in the right half-plane, in the le...

(10 points each) Given the following unity feedback system 3. E(s) R(s) C(s) 080-00 Figure 3 Where Go) DXG+3%6+5) 2(s +2) Find stability, and how many poles are in the right half-plane, in the left half-plane, on the jw axis. a. b. Draw the root locus for the system indicating the breakaway points, the ju crossings Draw the corresponding asymptotes on the diagram, calculate number of asymptotes, center and angle of asymptotes. c. (10 points each) Given the following unity...

• ### Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure...

Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....

• ### Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci....

Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci. Find the points where root loci cross the imaginary axis and the value of at the crossing points. Find the breakaway point. K(s+9) G(s) =- H(S)=1 s(s+2) (s+5)

• ### oble2 (25 Pts.) Root Locus: A proportional only action is controlling a plant with unity feedback. The plant ansfer function is: 6 GG)s+ 1)s + 2)s +3) a. Draw the poles of G(s) in below figure b....

oble2 (25 Pts.) Root Locus: A proportional only action is controlling a plant with unity feedback. The plant ansfer function is: 6 GG)s+ 1)s + 2)s +3) a. Draw the poles of G(s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....