Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4)...
Q.2 (10 marks) Consider the system shown in Fig.2 with K (s+3) 6(s) =56+2) H(s) = (s + 4) (a) Sketch the root locus of the system as the velocity gain k varies from zero to infinity. (b). Use root locus, determine the range of K such that the closed-loop system is under-damped (c). Use MATLAB draw the root locus and confirm the root locus found in (a). (Attach the MATLAB plot.) R(s) C(s) Figure 2
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)....
Q. 1 (10 marks) For the system in Fig. 1 (a) Assume proportion control. Ge(s) = K. sketch the root locus for the closed-loop system (b). Using the angle condition, prove that s1 =-2 +j2 is not on the root locus. (c). Design a lead compensator such that the dominant closed-loop poles are located at s-2tj2. (d). What are the zero and pole of lead compensator Ge(s)? (e). With Ge (s) has the zero and pole found in (c), sketch...
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...
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...
please do part D only the matlab. thank you 3. Consider the following system s(s2 +4s 13) (a) Draw the root locus. b) Use Routh's criterion to find the range of the gain K for which the closed-loop system is stable. (continued on next page) (c) The range of K for which the system is stable can also be obtained by finding a point of the root locus that crosses the Imaginary axis. When you have an Im-axis crossing, the...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
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)
1. Consider the standard unity feedback system with the feedforward transfer function K(a+3) 82-2 KG(s) Using the root locus plot, determine the range(s) of K such that the closed-loop system is stable. Determin all the points of interest for the root locus plot.
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