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Question 15 A system represented by the transfer function shown below: 200 GO) = 252 +...
Question 16 A system represented by the transfer function shown below: 1600 GG 4s2+80s+1600 If the...
Question 16 A system represented by the transfer function shown below: 1600 GG 4s2+80s+1600 If the system input is unit step, and the damping frequency is 17.32rad/s, the peak time in [sec] equals Question 15 A system represented by the transfer function shown below: 1600 Gu 4s2+80s+ 1600 If the system input is unit step, the system's damping ratio is Quèstion 14 A system represented by the transfer function shown below: 1600 G()A 80s +1600 4s280s 1600 If 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...
Prob. 3 (20 pts): A negative feedback control system shown below has the transfer function of...
Prob. 3 (20 pts): A negative feedback control system shown below has the transfer function of a plant, G,(s) (2+2s +100) Design a PD controller G,() - K,+K S so that the natural frequency w, and the damping ratio c of the closed loop system are 20 rad/sec and 0.6respectively.
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R...
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R and L values to make the natural frequency 8 rad/sec and the damping ratio 0.75 if C-0.01F a 2 Vi R.
b) Given a second order system with the following open loop transfer function where damping ratio,...
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circ...
Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circuit shown below. The input is the voltage source e(t) and the output is eo 262 2 F e,(t) 4
Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circuit shown below. The input is the voltage source e(t) and the output is eo 262 2 F e,(t) 4
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
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+2...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
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...
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,...
Question 16 A system represented by the transfer function shown below: 1600 GG 4s2+80s+1600 If the system input is unit step, and the damping frequency is 17.32rad/s, the peak time in [sec] equals Question 15 A system represented by the transfer function shown below: 1600 Gu 4s2+80s+ 1600 If the system input is unit step, the system's damping ratio is Quèstion 14 A system represented by the transfer function shown below: 1600 G()A 80s +1600 4s280s 1600 If the system...
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...
Prob. 3 (20 pts): A negative feedback control system shown below has the transfer function of a plant, G,(s) (2+2s +100) Design a PD controller G,() - K,+K S so that the natural frequency w, and the damping ratio c of the closed loop system are 20 rad/sec and 0.6respectively.
Problem 2. (15 pts) Design the circuit by finding the transfer function and all appropriate R and L values to make the natural frequency 8 rad/sec and the damping ratio 0.75 if C-0.01F a 2 Vi R.
b) Given a second order system with the following open loop transfer function where damping ratio, } = 0.707 and natural frequency, Wn= 2.5. wn? G(S) = S2 + 23wns +wn? i. Determine the steady state error to an appropriate input via a calculation method using the transfer function. Compare your answer with the steady state error from the exact frequency response for this system given in Figure Q4(b). (5 marks) ii. Evaluate the difference of the exact frequency response...
Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circuit shown below. The input is the voltage source e(t) and the output is eo 262 2 F e,(t) 4
Problem 2: Find a) the transfer function; b) the natural frequency and damping ratio for the circuit shown below. The input is the voltage source e(t) and the output is eo 262 2 F e,(t) 4
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
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
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...
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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