Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sk...
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).
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
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...
Q3. Consider the feedback system in Figure 3. In the case when 2L G(s) Figure 3: Block diagranm G(s) and when k is positive: (a) Sketch the root locus of the closed loop system (10) To assist in this (to indicate on root locus diagram) ) Compute the open loop poles and zeros (i) ealeulate the portion of the locus lying on the real axis; (iii) calculate the angles of asymptotes make with the real axis arad also the value...
Consider a unity feedback control system with open loop transfer function KG(G) s(s+2)(s + 6) 1. Write the characteristic equation of the system 2. Determine the open loop poles and open loop zeros of the system 3. Are there any zeros in infinity? If yes, how many? 4. Sketch the segments of root locus on real axis 5. Determine and sketch the center and the angles of the asymptotes
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) = K s(s + 1)(s + 2)(8 + 6) a) Find the value of the gain K, that will make the system stable. b) Find the value of the gain K, that will make the system marginally stable. c) Find the actual location of the closed-loop poles when the system is marginally stable.
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.
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....
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...