4. For the system shown, find the value of K and a so that two of...
Problem 5. (20 points) For the system shown, find the value of K and o so that two of the closed-loop Y(s) -) X(s) poles (i.e., the poles of are at s = ±jo, (i.e., they lie on the ja-axis). Gs) Y(s) ss +1
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...
2. For the feedback system shown below: X 1 K s+3 S s+10 XX ) . - a Find the open loep gain. G6) k b. Find the closed foop galn S410 (EnXey& ke -3 . Find the open loop poles c. d. Find the epen loop zeros . Find K that makes 4 one of the closed loop poles. (h+5) Scanned by CamScanne
For the system shown below, find the followings; (a) Make an accurate plot of the root locus (b) The value of K that gives a stable system with critically damped second-order poles (c ) The value of K that gives a marginally stable sytems Cs) (s-20s- I) 0.5 The characteristic equation (denominator of the closed-loop trans fer function set equal to zero) is given by
For the system shown below, find the followings; (a) Make an accurate plot of the...
66. The system shown in Figure P6.16 has G (s) = 1/s(s+2) (s + 4). Find the following: R(s) + E() K G,G) KES FIGURE P6.16 a. The value of K, for which the inner loop will have two equal negative real poles and the associated range of K, for system stability. b. The value of K, at which the system oscillates and the associated frequency of oscillation. c. The gain Ki at which a real closed-loop pole is at...
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 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
(3) For the closed-loop system shown in the figure below, K varies from 0 to to. L(s) has 4 poles and no zero, and all the four poles are on the left half plane. Consider the root loci of L(s) for K approaching to too: how many branches of the root loci will be in the right half plane? (2 point) And Why? (2 points) L(s) Y(s) R(s) +
(3) For the closed-loop system shown in the figure below, K...
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Can you Solve in matlab please. I need your help
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value of K such that the damping ratio ζ of the dominant closed-loop poles is 05. Then determine all closed-loop poles. Plot the unit-step response curve with MATLAB. s(s2 +4s +5) Figure 7-59 Control system.
B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value...