Problem #5 For the following system, K(s 3) (s2 +2)(s- 2)(s+5) R(s)+ C(s) (a) Sketch the...
G(s) = K(s + 2) (s2 + 9)/(s-2)(s+6) For the system above, find the following through calculations: a) Sketch the root locus by hand, labeling all relevant points on your plot. a. Open Loop Poles and Zeros. b. Centroid (if there are any) c. Asymptotes (if there are any) d. Break away points (if there are any). e. Location where the poles cross into the Right Half Plane b) Discuss the stability of the system as the gain changes (i.e. does the system ever become unstable?). Find the...
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...
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3 s+7) the complex poles. G(s) (s +3) i) Determine the joo -axis crossing, breakaway point and the angle of departure from (i) Determine the value of the gain for which the closed loop system will have a pole at (-10)
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3...
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)....
K(s+2) 2) Sketch the tot locus of closed loop system with openloop D (s)G(s) = s +2s+3. a. sketch real root locus b. find the asymptotes c. find the departure angles of complex poles d. sketch the root locus to the best of your ability e. Use matlab rlocus () to confirm your sketch (include a print out of your plot)
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
Problem 3: (30) Consider the following systen where K is a proportional gain (K>0). s-2 (a) Sketch the root locus using the below procedures. (1) find poles and zeros and locate on complex domain (2) find number of branches (3) find asymptotes including centroid and angles of asymptotes (4) intersection at imaginary axis (5) find the angle of departure (6) draw the root migration (b) Find the range of K for which the feedback system is asymptotically stable.
Problem 3:...
For the following system s+1 R(9) "0_*(*1) R(S) s2 + 64 s2 (32 +81) YM Y(S) S +11 (a) Plot the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all complex pairs of closed-loop poles to have a damping ratio greater than 0.5? (c) Find the smallest value of K that yield at least one complex pair of closed-loop poles with the damping ratio 5 = 0.707. (d) Use Matlab...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...