QUESTION 2: (30 points) a) Sketch the root locus for the system having open-loop transfer function: (15 pts.) ?0 (?) = ?(? + 3) ?(? + 1)(? + 2)(? + 4) b) Determine the value of K such that the damping ratio ?of a pair of dominant complex-conjugate closed loop pole is 0.5. (15 pts.)
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3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the damping ratio of a pair of dominant complex-conjugate closed-loop poles is 0.5. Ri)1 C(s) 3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot...
Sketch the root locus plot of a unity feedback system with an open loop transfer function G(s) = K / s (s+2) (s+4) Determine the value of K so that the dominant pair of complex poles of the system has a damping ratio of 0.5.
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
A robot force control system with unity feedback has a loop transfer function [6 7.11 Tood transfer function (6l K(s +2.5) (s2 + 2s 2) (s2 + 4s + 5) (a) Find the gain K that results in dominant roots with a damping ratio of 0.707. Sketch the root locus. (b) Find the actual percent overshoot and peak time for the gain K of part (a) A robot force control system with unity feedback has a loop transfer function [6...
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21 (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
Consider proportional feedback control as shown below. r(t) For each G(s) in the following problems A. Sketch the root locus. Clearly show the open-loop poles and zeros, and the high-gain asymptotes on your sketch. Calculate the centroid to assure that the high gain asymptotes are accurate. B. If your sketch reveals any break-in or break-away points, calculate those location C. Does your sketch reveal a jo- crossing? If so, stability may be an issue. D. A damping ratio of 7-...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions: ii) Hy=1+1+ ii) H3-3-*+-1 (s + 1)( -2) iv) H. - 3)(8 + 4) 2. Consider the feedback system: C(0) = K * G(s) Determine the values of K, a, and b of C(s) such that the dominant-closed loop poles are located at $12 = -1 j. Use the root locus method. Provide the locations of the dominant poles. You should include the root...
pls answer dont just copy other solution or ur catching a dislike Q. 1 (5 marks) For the system in Fig. (a). Assume proportion control, Gc(s)-K, sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s12 +j2 is not on the root locus. (c). Design a lead compensator Ge(s) - K such that the dominant closed-loop poles are located at s1--2 2. (d), What are the zero and pole of lead compensator G() (e)....
Looking for some help; the solution to the problem with explanations for each step will be appreciated Question 2: a) Construct the root-locus for the K> 0 for the transfer function GH s(s1 (s2+ 7s + 12) S(S b) If the design value for the gain is K = 6, calculate the gain margin. c) Determine the value of the gain factor K for which the system with the above open loop transfer function has closed loop poles with a...