Problem 5. (20 points) For the system shown, find the value of K and o so...
4. For the system shown, find the value of K and a so that two of the closed-loop poles s+4 G(s)= (s+8Xs+2) + Y(s) X(s) K are at s-at ja. 4. For the system shown, find the value of K and a so that two of the closed-loop poles s+4 G(s)= (s+8Xs+2) + Y(s) X(s) K are at s-at ja.
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 3 (25 points): Consider the following closed-loop control system K(s +9) (s4s + 11) A. Plot the open-loop poles and zeros on a graph. B. Compute and draw an C. Compute any break-away and break-in points. D. Compute any jo crossings. E. Draw a qualitatively-correct root locus diagram. y asymptote real intercepts and angles. Locate the closed-loop poles on the root locus plot such that the don closed-loop poles have a-damping-ratio equal to.0.5,and-determine corresponding value of the gainK.-
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...
Consider the unity feedback system shown below with 20 G(s)- R(s) + Es) C(s) Using Routh-Hurwitz criterion, determine where the closed-loop poles are located (i.e., right half-plane, left half-plane, jo-axis)
state space control (d) Select K such that the closed-loop system poles are placed at s = 9 and s = 4. Problem 5: Consider the horizontal motion of a particle of u mass sliding under the influence of gravity on a frictionless wire. It can be shown that, if the wire is bent so that its height h is given by h(x)V(), then a state-space model for the motion is given by dr Suppose (a) Verify that the above...
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...
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...
IV. (5 pts). Given the feedback system shown below, with H)--1 and Gs) 5+α where a and K constants. Note that H(s) represents an unstable open-loop system. We are going to determine the value of the constants that make the overall closed-loop system stable. H(s) vu) x(t) wt) G(s) 0(s) a) Find the system function, Q(s), of the closed-loop system in terms ofa and K. A quick test that you probably got the right answer: ( ONMwm.→ b) Find the...
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