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Question 16 A system represented by the transfer function shown below: 1600 GG 4s2+80s+1600 If the...
Question 15 A system represented by the transfer function shown below: 200 GO) = 252 +...
Question 15 A system represented by the transfer function shown below: 200 GO) = 252 + 30s + 200 [20.11Compute the damping ratio. 0.981 [20.2jThe system's natural frequency in [Hz] equals: 14.14 0.75 1.414 200
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...
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...
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
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the grap...
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the graph, estimate 3 3 the system's time constant, 5 % overshoot and DC gain. 2 1.5 c. Using the information, find o.5 b. What is the system's damped natural frequency and damping ratio? the second order transfer function C(s)/R(s). 0.2 0.4 0.6 0.8 1.2 Time (sec)
Unit Step Response .A plant has the response, c(), to a unit step, as shown....
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.
Zon=1-EST for the system shown in the figure below the transfer function of the plant is...
Zon=1-EST for the system shown in the figure below the transfer function of the plant is 10 G(s) : (3+5) - the input signal Rat) is unit step & the sampling S time (T-1 sec.) Determine the time response of the system and draw the spectrum UCH) Rest piant Cis) Zuh V. range K
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
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...
Topic: Second order system 4. pts) For the linear system with a block diagram shown: a....
Topic: Second order system 4. pts) For the linear system with a block diagram shown: a. Find the closed loop transfer function C(s)/R(s) b. Find the value of K and the location of the poles C(s) R(s) for a damping ratio equal to 0.5 S+0.8 c. When the input is a unit-step and the damping ratio is 0.5 Find Peak Time (Tp), Maximum Overshoot (Mp) and Settling Time (Ts)
Question 15 A system represented by the transfer function shown below: 200 GO) = 252 + 30s + 200 [20.11Compute the damping ratio. 0.981 [20.2jThe system's natural frequency in [Hz] equals: 14.14 0.75 1.414 200
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...
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
Unit Step Response .A plant has the response, c(), to a unit step, as shown. 3.5 a. From the graph, estimate 3 3 the system's time constant, 5 % overshoot and DC gain. 2 1.5 c. Using the information, find o.5 b. What is the system's damped natural frequency and damping ratio? the second order transfer function C(s)/R(s). 0.2 0.4 0.6 0.8 1.2 Time (sec)
Unit Step Response .A plant has the response, c(), to a unit step, as shown....
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.
Zon=1-EST for the system shown in the figure below the transfer function of the plant is 10 G(s) : (3+5) - the input signal Rat) is unit step & the sampling S time (T-1 sec.) Determine the time response of the system and draw the spectrum UCH) Rest piant Cis) Zuh V. range K
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...
Topic: Second order system 4. pts) For the linear system with a block diagram shown: a. Find the closed loop transfer function C(s)/R(s) b. Find the value of K and the location of the poles C(s) R(s) for a damping ratio equal to 0.5 S+0.8 c. When the input is a unit-step and the damping ratio is 0.5 Find Peak Time (Tp), Maximum Overshoot (Mp) and Settling Time (Ts)
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