(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) fo...
MECH 4310 Systems & Control Spring 2019 t) For the closed-loop system shown in the figure helow, K varies from 0 to to. Lo) has 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 to: how many branches of the root loci will be in the right half plane? (2 point) And Why? (2 points) R(s)+ Y(s) MECH 4310 Systems & Control Spring 2019...
1. Root Locus shows graphically how the poles of a closed-loop system varies as K varies. Given the closed-loop system below, obtain the Root Locus for this system. You must explain and show the step-by-step workings and the final root locus plot. You may sketch it first AND then use MATLAB or Excel to show the final plot. Comment on the results. (Please follow the notes given to you earlier). --6-0110-rotate to L(s) $+1 s(s+2)(8 +3)
control system Problem 1) Consider the system shown in the figure. Plot the root loci. Locate the closed-loop poles when the gain K-2. R(s) C(s) s + 1 s(s2+ 2s + 6) S+I Figure 1: Control System
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
2. Using the Routh-Hurwitz criterion, find out how many closed-loop poles of the system shown in the Figure lie in the left half-plane, in the right half-plane, and on the jw-axis. R(s) C(s) 507 s* + 3s +102 + 30s +169 S
17. Using the Routh-Hurwitz criterion, find out how many closed-loop poles of the system shown in Figure P6.5 lie in the left half-plane, in the right half- plane, and on the jw-axis. R(S) + C(s) 507 $++ 333 + 10s- +30s + 169 S
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...
Consider the system with open-loop transfer function s+2 G(s) = k 82 4 Show the type of poles that the close-loop system has (real, imaginary, or repeated) for the different values ofk in [0 +00). Sketch the root locus of the close-loop system's poles when the gain k takes values in [0 +oo). Show clearly the break points of the loci, and calculate analytically the values that the branches of the loci are converging when k o
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
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...