Question 1- Plot the root loci for the closed-loop control systems with K s b) Gs)H(S)425+2 s2+2s+2 c) G (s)H(s) = K+22+2 K(s+2) K (s+6) K(s+18) K(s+4.5) = (s+5)(s2 +25+5) f) G (s)H(s) K (s2+3s+9) g)...
9. Plot the root locus for the following closed-loop control systems. K (s -1) (ST2)(S+4) and H(s) = 1 (a) Gle)s+2)(s (b) G(s) = K (s + 1) and H (s)-1 A formula you may need for calculating the break-in point N'(o)D(o)-N(σ)D'(o)-0
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
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32 1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
help Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
F(G) = list 62 Transfer function: F(s) = K, s + K2 with closed loop 54 + 5g3+ 45²-10s control system a) H(s) = + F(s) 5(5-1)(8+3+;)(5+3) Find the range of gains in the K, , Kz plane for which closed loop system is stable. And sketch the result. b With K,K, K₂=0.1K, sketch the root locus for system of part (a). Show topen loop poles and zeros, asymptotes of loci fork loci segments on real axis and imaginary axis...
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...
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the system. b. Find the range of K for a stable system. (analytic by hand) c. Find the value of K for a marginally stable system. (analytic by hand) . S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the...
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s)= (5 + 1)(8 + 4)(8 + 7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the...
how to plot root locus? pls show step by step K1= G(s)H (8) Example 7.3: Construct the RL of the characteristic equation of a closed loop control systemy s(s +5)(s + 6)(s? +2s + 2) + K(8+3) = 0
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.-