R(S) + G(s) 2. For the system of Fig.2., assume: K s(s + 5)(s + 8)...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis. [7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain...
(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...
9. Consider a negative unity-feedback control system with the loop transfer function s +8 D(s) G(8)=K- s+1) ((s + 1)2 + 22 (s + 94 + 793 + 1932 +33s + 20 (a) Determine the asymptotes of the root-locus diagram for K > 0, if any. (06pts) Answer: The real-axis crossing of the asymptote(s), a = The angle(s) of the asymptote(s), 0q = _ (b) Determine the break-away and the break-in points of the root-locus diagram for K > 0,...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
G(s) Y(s) s+2 1. (25 points) A system has G(S) = 21ac11: (a) Find the two points that define each real-axis segment of the root locus. (b) Find the maximum value of the gain K for the closed-loop to be stable. If there are root loci that cross the imaginary axis, also find the corresponding frequency of the closed-loop roots that lie on the imaginary axis. (c) Find the angle of departure from the complex poles. (d) Find the location...
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...
Problem 2 Consider a unity feedback system with open-loop transfer function: K(s+10) s(s+5) (s+6) (s+8) a) Determine the segments of root locus on real axis. b) Sketch the center and the angle of the asymptotes c) Determine the value of K corresponding to point s =-4.
3. Assume G(s) . For the unity negative feedback system shown below: (s-2)(s-4) R(s)+ C(s) G(s) a. Find the number of branches, real-axis segments, starting and ending points, and asymptotes, if any Calculate breakaway and break-in points. Plot the root locus. (20 points) Find range of K, such that the system has poles with non-zero complex components.(10 points) b.
1. Given the open-loop transfer function G(s)h(s) find the asymptotes, (b) find the breakaway points, if any, (c) find the range of K for stability and also the ju-axis crossing points, and (d) sketch the root locus. (20 points) K/Ks+1)(s+2)(s+3)(s+4)) where 0 s K < 00, (a) K/[s(s+3)(s2+2s+2)] where o s K < o, (a) locate the For the open-loop transfer function G(s)H(s) asymptotes, (b) find the breakaway points, if any, (c) find the jw-axis crossing points and the gain...
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...