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Kia Consider the generic first order transfer function, G(s) = oma Use the transient response for...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller trans...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
4. The unit step response of a first order system is shown below: Step Response Amplitude...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
4. The unit step response of a first order system is shown below: Step Response Amplitude...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Please solve these using matlab Problem 1 Given the transfer functions e S +5 (a) C(s)...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Us...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
For the given system above, determine the gain K that will give the system desired response below: Settling time of 5 seconds Peak time of 0.5 seconds The given plant has a transfer function of: Gp...
For the given system above, determine the gain K that will give
the system desired response below:
Settling time of 5 seconds
Peak time of 0.5 seconds
The given plant has a transfer function of: Gp = (s + 4)/( (s +
1)*(s + 3) )
The controller has a transfer function of: Gc =
(s+27.75)/s
QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
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...
Consider a unity-feedback control system with a PI controller Gpr(s) and a plant G(s) in cascade. In particular, the plant transfer function is given as 2. G(s) = s+4, and the PI controller transfer function is of the forrm KI p and Ki are the proportional and integral controller gains, respectively where K Design numerical values for Kp and Ki such that the closed-loop control system has a step- response settling time T, 0.5 seconds with a damping ratio of...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Please solve these using matlab
Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
For the given system above, determine the gain K that will give
the system desired response below:
Settling time of 5 seconds
Peak time of 0.5 seconds
The given plant has a transfer function of: Gp = (s + 4)/( (s +
1)*(s + 3) )
The controller has a transfer function of: Gc =
(s+27.75)/s
QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
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...
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