.Consider the same 2nd order system with a pair of poles at s = −3 ±...
.Consider the same 2nd order system with a pair of poles at s = −3 ± 4j.
a) Find the rise time, settle time, peak time, and overshoot percent.
b) How do these computed values compare to the values in your plot?
Homework Answers
Add Answer to:
.Consider the same 2nd order system with a pair of poles at s =
−3 ±...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
NEED HELP WITH 3! 2. Consider a system with an open-loop transfer function Gp(s)Plot the poles...
NEED HELP WITH 3!
2. Consider a system with an open-loop transfer function Gp(s)Plot the poles of this system (by hand) for the following values of〈 and an (a) wn 2 rad/s, 0,0.2,0.4,0.6,0.8, 1), plot the poles in bold x' markers (b) Ç-07, an-(1, 2, 3,4) rad/s, plot the poles as 4" markers Note your observations 3. For the system in 2) above, plot the poles (by hand) of the closed loop controller with Ç-07, an-2 with the control 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...
Cyber Exploration Laboratory Cyber Exploration Laboratory Experiment 4.1 Objective To evaluate th...
Could you teach me the way to solve Lab 1,2?
Cyber Exploration Laboratory Cyber Exploration Laboratory Experiment 4.1 Objective To evaluate the effect of pole and zero location upon the time response of first- and second-order systems. Minimum Required Software Packages MATLAB, Simulink, and the Control System Toolbox Prelab 1. Given the transfer function G(s)evluate settling time and rise time for the following values of a: 1, 2, 3, 4. Also, plot the poles. 2. Given the transfer function G)+as...
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC inducti...
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural frequency, on b. Damping ratio, c. Maximum percent overshoot (assuming a unit step input) and time to peak Note: Submit graph with proper labeling 6 Y(s) G(S) = s(0.3s+ 1) U(s) 1
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural...
Consider the same plant G(s) Design a controller so that if you desire an angle of...
Consider the same plant G(s) Design a controller so that if you desire an angle of r 1 rad, s(s+10) (s+20) (R the actual angle of the motor y(t) has an overshoot less than or equal to 20% and a settling time less than or equal to 0.3s as it is settling down to the steady state angle. Write down the steps you followed in the sisotool (or otherwise), include: i. ii. iii. iv. Your error calculations and calculations for...
Which pair of these poles guarantee the rise time faster than 0.9 sec and maximum overshoot...
Which pair of these poles guarantee the rise time faster than 0.9 sec and maximum overshoot of 5% for a stable second-order system. Select all that applies. -1.5 3j b) -1+ 1.42 ) 1.4t2j d)-1.4 ± 2j
1. (30%) A 2nd order linear system H(S) is described in terms of its pole locations,...
1. (30%) A 2nd order linear system H(S) is described in terms of its pole locations, which are at -2 + 12, and its DC gain, i.e., the value of H(s) evaluated at s = 0, is equal to one. Based on the above description, answer the following: a. Determine the transfer function of the system, H(S) b. Suppose we give a unit step function as an input to the above system, determine the response of the system C. Calculate...
1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
NEED HELP WITH 3!
2. Consider a system with an open-loop transfer function Gp(s)Plot the poles of this system (by hand) for the following values of〈 and an (a) wn 2 rad/s, 0,0.2,0.4,0.6,0.8, 1), plot the poles in bold x' markers (b) Ç-07, an-(1, 2, 3,4) rad/s, plot the poles as 4" markers Note your observations 3. For the system in 2) above, plot the poles (by hand) of the closed loop controller with Ç-07, an-2 with the control 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...
Could you teach me the way to solve Lab 1,2?
Cyber Exploration Laboratory Cyber Exploration Laboratory Experiment 4.1 Objective To evaluate the effect of pole and zero location upon the time response of first- and second-order systems. Minimum Required Software Packages MATLAB, Simulink, and the Control System Toolbox Prelab 1. Given the transfer function G(s)evluate settling time and rise time for the following values of a: 1, 2, 3, 4. Also, plot the poles. 2. Given the transfer function G)+as...
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural frequency, on b. Damping ratio, c. Maximum percent overshoot (assuming a unit step input) and time to peak Note: Submit graph with proper labeling 6 Y(s) G(S) = s(0.3s+ 1) U(s) 1
Question 3 (15 points): The figure below represents a 2nd-order feedback system containinga 2-phase AC induction motor. Determine the following a. System undamped natural...
Consider the same plant G(s) Design a controller so that if you desire an angle of r 1 rad, s(s+10) (s+20) (R the actual angle of the motor y(t) has an overshoot less than or equal to 20% and a settling time less than or equal to 0.3s as it is settling down to the steady state angle. Write down the steps you followed in the sisotool (or otherwise), include: i. ii. iii. iv. Your error calculations and calculations for...
Which pair of these poles guarantee the rise time faster than 0.9 sec and maximum overshoot of 5% for a stable second-order system. Select all that applies. -1.5 3j b) -1+ 1.42 ) 1.4t2j d)-1.4 ± 2j
1. (30%) A 2nd order linear system H(S) is described in terms of its pole locations, which are at -2 + 12, and its DC gain, i.e., the value of H(s) evaluated at s = 0, is equal to one. Based on the above description, answer the following: a. Determine the transfer function of the system, H(S) b. Suppose we give a unit step function as an input to the above system, determine the response of the system C. Calculate...
Most questions answered within 3 hours.
-
What kind of share-based compensation does the company have for
Verizon? What was compensation expense for...
asked 2 minutes ago -
Place each of the following transactions in one of the four
components of expenditure: (remember it...
asked 10 minutes ago -
Find the optimal binary symbol code using the Huffman coding
algorithm. Draw the Huffman tree (show...
asked 12 minutes ago -
Using Rhodes Corporation’s financial statements (shown after
part f), answer the following questions.
a. What is...
asked 12 minutes ago -
Viewers of the ABC news segment may use ___________ to make
generalization about what the individual...
asked 22 minutes ago -
Which of the following captures Locke’s response to Hobbes on
the issue of the enforcement of...
asked 29 minutes ago -
another 515 students are selected at random from florida. they are
given a 3-hour preparation course...
asked 1 hour ago -
A regional distributor deals with a product ABC that has an
annual demand of 3000 unit....
asked 1 hour ago -
You have a 825.3 mL sample of 2.754 M HA (Ka =
4.49⋅10−4). Calculate the pH...
asked 4 hours ago -
The blues made its way into many kinds of music. Eric Clapton,
The Beatles, and Elvis...
asked 7 hours ago -
8. A wave in a string has a wave function given by: y (x, t) =...
asked 6 hours ago -
If you’re standing at the bottom of a hill and asked to evaluate
it while being...
asked 7 hours ago