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Problem 2. (40p) Consider the fooling feedback control system: Y(s) Where 10s 1 S(s+0.5) (s 1)...
Consider a unity feedback control architecture where P(s) = 1/s^2 and C(s) = K * ((s + z)/(s + p)...
Consider a unity feedback control architecture where P(s) =
1/s^2 and C(s) = K * ((s + z)/(s + p)) . It is desired to design
the controller to place the dominant closed-loop poles at sd = −2 ±
2j. Fix the pole of the compensator at −20 rad/sec and use root
locus techniques to find values of z and K to place the closed–loop
poles at sd .
Problem 4 (placing a zero) Consider a unity feedback control architecture...
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...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 ...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that,...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that, for a step response it yields %10 overshoot with threefold reduction in settling time. Show your work, clearly identity and explain the choice of poles, zeroes and gain of the compensator C(s). Use Matlab rltool.
3. Consider the tilt control block diagram shown below R(s) DesiredG(s) 12 s(s+10)(s+70) Y(s) Til...
3. Consider the tilt control block diagram shown below R(s) DesiredG(s) 12 s(s+10)(s+70) Y(s) Tilt tilt Design specifications require an overshoot of less than 5% and a settling time of less than 0.6 seconds. (a) Use MATLAB to sketch the root locus (rlocus command) with a proportional controller and use the root locus to determine a value for K (if any) that will satisfy the design requirements (b) Design a lead compensator Ge(s) to satisfy the design specifications. You can...
Consider proportional feedback control as shown below. r(t) For each G(s) in the following problems A....
Consider proportional feedback control as shown below. r(t) For each G(s) in the following problems A. Sketch the root locus. Clearly show the open-loop poles and zeros, and the high-gain asymptotes on your sketch. Calculate the centroid to assure that the high gain asymptotes are accurate. B. If your sketch reveals any break-in or break-away points, calculate those location C. Does your sketch reveal a jo- crossing? If so, stability may be an issue. D. A damping ratio of 7-...
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5...
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The jo-axis crossing c. The range of gain to keep the system stable d. The value of K to yield a stable system with second-order complex poles, with a damping ratio of 0.5
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The...
Please be specific about the root locus and Matlab code. Problem 2 For the feedback system...
Please be specific about the root locus and Matlab code.
Problem 2 For the feedback system shown in the diagram below, use the root locus design method to find the value of the gain K that results in dominant closed-loop poles with a damping ratio Ç-0.5- Verify your solution with Matlab, and attach the plotted solution.
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations...
2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations of open-loop poles with X and zeros with O on an s-plane. b. Find the number of segments in the root locus diagram based on the number of poles and zeros. c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles for...
Consider a unity feedback control architecture where P(s) =
1/s^2 and C(s) = K * ((s + z)/(s + p)) . It is desired to design
the controller to place the dominant closed-loop poles at sd = −2 ±
2j. Fix the pole of the compensator at −20 rad/sec and use root
locus techniques to find values of z and K to place the closed–loop
poles at sd .
Problem 4 (placing a zero) Consider a unity feedback control architecture...
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...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...
Problem 2 Consider the following feedback system: where Design a lead compensator C s such that, for a step response it yields %10 overshoot with threefold reduction in settling time. Show your work, clearly identity and explain the choice of poles, zeroes and gain of the compensator C(s). Use Matlab rltool.
3. Consider the tilt control block diagram shown below R(s) DesiredG(s) 12 s(s+10)(s+70) Y(s) Tilt tilt Design specifications require an overshoot of less than 5% and a settling time of less than 0.6 seconds. (a) Use MATLAB to sketch the root locus (rlocus command) with a proportional controller and use the root locus to determine a value for K (if any) that will satisfy the design requirements (b) Design a lead compensator Ge(s) to satisfy the design specifications. You can...
Consider proportional feedback control as shown below. r(t) For each G(s) in the following problems A. Sketch the root locus. Clearly show the open-loop poles and zeros, and the high-gain asymptotes on your sketch. Calculate the centroid to assure that the high gain asymptotes are accurate. B. If your sketch reveals any break-in or break-away points, calculate those location C. Does your sketch reveal a jo- crossing? If so, stability may be an issue. D. A damping ratio of 7-...
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The jo-axis crossing c. The range of gain to keep the system stable d. The value of K to yield a stable system with second-order complex poles, with a damping ratio of 0.5
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The...
Please be specific about the root locus and Matlab code.
Problem 2 For the feedback system shown in the diagram below, use the root locus design method to find the value of the gain K that results in dominant closed-loop poles with a damping ratio Ç-0.5- Verify your solution with Matlab, and attach the plotted solution.
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
2. Consider the unity feedback negative system with an open-loop function G(S)-KS. a. Plot the locations of open-loop poles with X and zeros with O on an s-plane. b. Find the number of segments in the root locus diagram based on the number of poles and zeros. c. The breakaway point (the point at which the two real poles meet and diverge to become complex conjugates) occurs when K = 0.02276. Show that the closed-loop system has repeated poles for...
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