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Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine the range of values of K that render the system...
Automatic Control IV Question 4 The transfer function of a servo system has the transfer function...
Automatic Control IV
Question 4 The transfer function of a servo system has the transfer function given by: A vibrating spring-mass system has the feedback control system shown in Fig Q4 below. R(S) - _K s(s+2) Fig 24 If K = 12.25 determine: 4.1 the transfer function C(s)/R(3) 4.3 the un-damped natural frequency of the system 4.4 the damping ratio 4.5 the damped natural frequency 4.6 the maximum percentage overshoot 4.7 the peak time 4.8 the settling time for the...
Do only parts C and D 1. A second-order system has the following transfer function that...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%....
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
Given a 2d order underdamped system as shown below, find the following: 10 s)=s2 + 5s...
Given a 2d order underdamped system as shown below, find the following: 10 s)=s2 + 5s + 10 Find: Natural Frequency, Damping Ratio, Peak Time, settling time, Percentage of overshoot %OS
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7)...
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller. a. What does the natural frequency of the system quantify? i. It is the frequency at which the system tends of oscillate when continuously subjected to an external harmonic force ii. It quantifies the frequency at which the system tends to oscillate in the absence of any driving force ili. None of...
Partial Question 5 10/15 pts Given the poles of a transfer function are -2+5j and -2-5j,...
Partial Question 5 10/15 pts Given the poles of a transfer function are -2+5j and -2-5j, determine natural frequency 5.39 damping ratio 0.372 damped frequency 5 Peak Time (sec) 0.628 % Overshoot 2 Settling Time (sec) 28.46
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...
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations...
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations if the resonance frequency is 998 Hz. 2. Amplitude of vibrations during 5 minutes decreased by 2 times, during which time the amplitude reduced by 8 times? 3. For 8 minutes amplitude decreased 8 times. Find damping factor. 4. Determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400 s decreased 20 times 6. The...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the damping ratio, 5, natural frequency, 0,, settling time, T., peak time, T, and percent overshoot, %OS. Report the kind of response expected. P
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,...
Automatic Control IV
Question 4 The transfer function of a servo system has the transfer function given by: A vibrating spring-mass system has the feedback control system shown in Fig Q4 below. R(S) - _K s(s+2) Fig 24 If K = 12.25 determine: 4.1 the transfer function C(s)/R(3) 4.3 the un-damped natural frequency of the system 4.4 the damping ratio 4.5 the damped natural frequency 4.6 the maximum percentage overshoot 4.7 the peak time 4.8 the settling time for the...
Do only parts C and D
1. A second-order system has the following transfer function that describes its response: F(s)- s2 +as + 9 A. For a -3, calculate the following performance specifications of the system: Natural frequency (on) Damping ratio( Estimated rise time and settling time with ±5% change (tr, ts) Estimated overshoot (MP) . B. Label (a) ±5% range of steady state, (b) tr, (c) ts, and (d) MP on the step response curve below (You may also...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
Given a 2d order underdamped system as shown below, find the following: 10 s)=s2 + 5s + 10 Find: Natural Frequency, Damping Ratio, Peak Time, settling time, Percentage of overshoot %OS
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller. a. What does the natural frequency of the system quantify? i. It is the frequency at which the system tends of oscillate when continuously subjected to an external harmonic force ii. It quantifies the frequency at which the system tends to oscillate in the absence of any driving force ili. None of...
Partial Question 5 10/15 pts Given the poles of a transfer function are -2+5j and -2-5j, determine natural frequency 5.39 damping ratio 0.372 damped frequency 5 Peak Time (sec) 0.628 % Overshoot 2 Settling Time (sec) 28.46
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...
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations if the resonance frequency is 998 Hz. 2. Amplitude of vibrations during 5 minutes decreased by 2 times, during which time the amplitude reduced by 8 times? 3. For 8 minutes amplitude decreased 8 times. Find damping factor. 4. Determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400 s decreased 20 times 6. The...
16 The transfer function of a system given by, G(s) = 32 +33 +16' find the damping ratio, 5, natural frequency, 0,, settling time, T., peak time, T, and percent overshoot, %OS. Report the kind of response expected. P
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,...
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