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1) (10 pts) Consider the unity feedback system shown in the figure: For each of the...
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sket...
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
3. Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot the Bode plot of this system Find the gain and phase margin. Identify these margins on the Bode plot. Is the G(s) a. b. system stable?
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
a=8 Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the...
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e()...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot the Bode plot of this system Find the gain and phase margin. Identify these margins on the Bode plot. Is the G(s) a. b. system stable?
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
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