Homework Answers
matlab verification:
clc;
clear all;
s=tf('s');
g=1/((s+1)*(s+3)*(s+7));
gc=(s+0.01)/(s+0.000119);
rlocus(g,g*gc);% root locus of compensated and uncompensated system
legend('uncompensated','compensated')
the
locus of compensated and uncompensated system are same so there is
not significant change in the dominant ploes
Add Answer to:
Problem (5): . The unity feedback system shown in Figure P9.1 with is operating with 10% overshoo...
22. For the unity feedback system given in Figure P9.1 with G(S) = 5(+ 5)(s +...
22. For the unity feedback system given in Figure P9.1 with G(S) = 5(+ 5)(s + 11) do the following: [Section: 9.4] a. Find the gain, K, for the uncompensated system to operate with 30% overshoot. b. Find the peak time and K, for the uncompensated system, c. Design a lag-lead compensator to decrease the peak time by a factor of 2, decrease the percent overshoot by a factor of 2, and improve the steady-state error by a factor of...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
Please answer this question showing all the steps. Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locati...
Please answer this question showing all the steps.
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a lag compensator so the appropriate static error constant is 5 without appreciably
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a...
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static e...
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static error constant is 20 without appreciably changing the dominant poles of the uncompensated system. There can be no zero pole cancellations. Do not change the dominant poles of the system.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s...
Please solve with detailed steps (NO MATLAB Solution).Thanks in advance 13. Consider the unity feedback system...
Please solve with detailed steps (NO MATLAB
Solution).Thanks in advance
13. Consider the unity feedback system of Figure P9.1 with K G(s) s(s +20)(s +40) The system is operating at 20% overshoot. Design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot and do the following: (Section: 9.3] a. Evaluate the uncompensated system's dominant poles, gain, and settling time. b. Evaluate the compensated system's dominant poles and settling time. c. Evaluate the...
With explanation if possible, please 2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s...
With explanation if possible, please
2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s--2+ j2V3) of a pair of the complex conjugate closed loop poles. Controller,0.25(S Ge(s) Figure 2
2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s--2+ j2V3) of a pair...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated sys...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
I8. Consider the unity feedback system of Figure P9.1 with G(s) s +3)(s +5) . Show...
I8. Consider the unity feedback system of Figure P9.1 with G(s) s +3)(s +5) . Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a.Specify the compensator's pole, zero, and the required gain. R) Cu) FIGURE P9.1
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s)...
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
22. For the unity feedback system given in Figure P9.1 with G(S) = 5(+ 5)(s + 11) do the following: [Section: 9.4] a. Find the gain, K, for the uncompensated system to operate with 30% overshoot. b. Find the peak time and K, for the uncompensated system, c. Design a lag-lead compensator to decrease the peak time by a factor of 2, decrease the percent overshoot by a factor of 2, and improve the steady-state error by a factor of...
steps
R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
Please answer this question showing all the steps.
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a lag compensator so the appropriate static error constant is 5 without appreciably
Problem 1 Suppose we have the system shown below operating at 1 0% overshoot. Go) +s+2)(+1 52 05123 120 Design changing the dominant pole locations of the uncompensated system a...
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s +5%s+7) Use time domain techniques to design a compensator (and find K) so the appropriate static error constant is 20 without appreciably changing the dominant poles of the uncompensated system. There can be no zero pole cancellations. Do not change the dominant poles of the system.
Problem 4 Suppose we have the system shown below operating at 15% overshoot. G(s)- (G) (s +2)%s...
Please solve with detailed steps (NO MATLAB
Solution).Thanks in advance
13. Consider the unity feedback system of Figure P9.1 with K G(s) s(s +20)(s +40) The system is operating at 20% overshoot. Design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot and do the following: (Section: 9.3] a. Evaluate the uncompensated system's dominant poles, gain, and settling time. b. Evaluate the compensated system's dominant poles and settling time. c. Evaluate the...
With explanation if possible, please
2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s--2+ j2V3) of a pair of the complex conjugate closed loop poles. Controller,0.25(S Ge(s) Figure 2
2. Design a lag compensator of the system in Figure 2 such that the static velocity error constant Kv is 40se ithout appreciably changing the original location (s--2+ j2V3) of a pair...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...
13. Consider the unity feedback system of Figure P11.1 with G(s) s(s+5s 20) The uncompensated system has about 55% overshoot and a peak time of 0.5 second when K 10. Do the following: [Section: 11.4] . Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second-order approximations. b. Use MATLAB or any other computer MATLAB ML program...
I8. Consider the unity feedback system of Figure P9.1 with G(s) s +3)(s +5) . Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a.Specify the compensator's pole, zero, and the required gain. R) Cu) FIGURE P9.1
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
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