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A feedback system is described on the figure above. a. If K=450 find the number of...
R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a....
R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii) not stable.
Upload your answers to this question below or via the submission folder on Brightspace. R(s) +...
Upload your answers to this question below or via the submission folder on Brightspace. R(s) + к s++38+10s-+30s+150 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Dete...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Determine the range of values of K for which the system is stable. (10 marks) The closed loop poles of a second order system are located at points -3.5+1.5t and 6. -3.5-1.51 on the complex plane. Calculate the damped natural frequency, ωd. (10 marks) 7. The Bode plots for a first order dynamic system is shown in Figure 3. Estimate the magnitude and phase when...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+2...
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...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sk...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) =...
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) = K s(s + 1)(s + 2)(8 + 6) a) Find the value of the gain K, that will make the system stable. b) Find the value of the gain K, that will make the system marginally stable. c) Find the actual location of the closed-loop poles when the system is marginally stable.
For the given system, find the full-state feedback gain matrix, K, to place the closed-loop poles...
For the given system, find the full-state feedback gain matrix, K, to place the closed-loop poles at z - 0.9 1j0.1. 1. x(n + 1)-φχ(n) + l'u(n), with 0.5
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions:...
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions: ii) Hy=1+1+ ii) H3-3-*+-1 (s + 1)( -2) iv) H. - 3)(8 + 4) 2. Consider the feedback system: C(0) = K * G(s) Determine the values of K, a, and b of C(s) such that the dominant-closed loop poles are located at $12 = -1 j. Use the root locus method. Provide the locations of the dominant poles. You should include the root...
R(S) + C(s) K $++383+10s2+30s+150 1 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii) not stable.
Upload your answers to this question below or via the submission folder on Brightspace. R(s) + к s++38+10s-+30s+150 A feedback system is described on the figure above. a. If K=450 find the number of closed-loop poles located on the RHS, LHS and on the jw-axis. b. Find the value of the gain K, which will produce undamped system step response (critical gain). Find the respective oscillating frequency. c. For which values of K the system will be (i) stable, (ii)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Determine the range of values of K for which the system is stable. (10 marks) The closed loop poles of a second order system are located at points -3.5+1.5t and 6. -3.5-1.51 on the complex plane. Calculate the damped natural frequency, ωd. (10 marks) 7. The Bode plots for a first order dynamic system is shown in Figure 3. Estimate the magnitude and phase when...
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...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
Problem 2 For the unity feedback system below in Figure 2 G(s) Figure 2. With (8+2) G(s) = (a) Sketch the root locus. 1. Draw the finite open-loop poles and zeros. ii. Draw the real-axis root locus iii. Draw the asymptotes and root locus branches. (b) Find the value of gain that will make the system marginally stable. (c) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at s...
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) = K s(s + 1)(s + 2)(8 + 6) a) Find the value of the gain K, that will make the system stable. b) Find the value of the gain K, that will make the system marginally stable. c) Find the actual location of the closed-loop poles when the system is marginally stable.
For the given system, find the full-state feedback gain matrix, K, to place the closed-loop poles at z - 0.9 1j0.1. 1. x(n + 1)-φχ(n) + l'u(n), with 0.5
1. Write the MATLAB commands (tf.) and zpk (...)) that yield the following trans fer functions: ii) Hy=1+1+ ii) H3-3-*+-1 (s + 1)( -2) iv) H. - 3)(8 + 4) 2. Consider the feedback system: C(0) = K * G(s) Determine the values of K, a, and b of C(s) such that the dominant-closed loop poles are located at $12 = -1 j. Use the root locus method. Provide the locations of the dominant poles. You should include the root...
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