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3. system with a time constant τ= 0.004 sec. Determine (and indicate on plot) the frequency...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine a. to ench 63.2 2 ofHe Panes the settling time of a second-order system Tire to at 22 Tire the time constant of a first-order system (i) () b. A thermocouple with a time constant of 0.05s is considered to behave as a first-order system. For the thermocouple to measure the dynamic temperature with an error less than 5%, what is (8) the range...
P1: A temperature measuring system is exited by a 0.25 Hz harmonically varying input. If the...
P1: A temperature measuring system is exited by a 0.25 Hz harmonically varying input. If the time constant of the system is 4.0s and the indicated amplitude is 10 degrees celcius, what is the true temperature? P2: A thermocouple with a time constant of 0.05s is considered to behave as a first order system, over what frequency range can the thermocouple measure dynamic temperature fluctuation (which is harmonic) with an error less than 5%? P3: A force transducer behaves as...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following Bode plot: 10 o -15 -20 -25 -30 0 10%2 10 10 10 Frequency (rad/s)
05 0 5 10 15 20 25 30 35 40 45 50 55 0 70 Time (sec) 7. The above figure displays the time respon...
05 0 5 10 15 20 25 30 35 40 45 50 55 0 70 Time (sec) 7. The above figure displays the time response of a seismometer due to a step input of 0.1 cm. (a) If the system is either first- or second-order system, find the system model? (ustify your results) (b) If the input is 0.5sin0.1t, find the steady state output of the seismometer (c) Determine the useful frequency range of this sensor (+5%)
05 0 5...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conver...
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conversion to a sequence (, and an LTI discrete-time system. The continous-time LTI system is causal and satisfies the linear, constant-coefficient differential equation The input is a unit impulse a. Determine . (10 points) b. Determine the frequency response and the impulse response such that. (10 points). Conversiony(n) of %(t) w(n) inpuse train H(ew) to a sequence P(t) low shows a...
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...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
QUESTION 4 (20 marks) For any given experiment data of a sensor, explain how to determine a. to ench 63.2 2 ofHe Panes the settling time of a second-order system Tire to at 22 Tire the time constant of a first-order system (i) () b. A thermocouple with a time constant of 0.05s is considered to behave as a first-order system. For the thermocouple to measure the dynamic temperature with an error less than 5%, what is (8) the range...
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...
Frequency Response of Unknown Dynamic System Determine the system transfer function from the 2 -5 following Bode plot: 10 o -15 -20 -25 -30 0 10%2 10 10 10 Frequency (rad/s)
05 0 5 10 15 20 25 30 35 40 45 50 55 0 70 Time (sec) 7. The above figure displays the time response of a seismometer due to a step input of 0.1 cm. (a) If the system is either first- or second-order system, find the system model? (ustify your results) (b) If the input is 0.5sin0.1t, find the steady state output of the seismometer (c) Determine the useful frequency range of this sensor (+5%)
05 0 5...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mx+cx + kx = A sin(at) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor 5 and the un-damped natural frequency Using the given formulas for...
P5.6-3 displays the pole-zero plot of a system that has re 5.6-5 Figure second-order real, causal LTID s Figure P5.6-5 (a) Determine the five constants k, bi, b2, aj, and a2 that specify the transfer function (b) Using the techniques of Sec. 5.6, accurately hand-sketch the system magnitude response lH[eill over the range (-π π) (c) A signal x(t) = cos(2πft) is sampled at a rate Fs 1 kHz and then input into the above LTID system to produce DT...
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conversion to a sequence (, and an LTI discrete-time system. The continous-time LTI system is causal and satisfies the linear, constant-coefficient differential equation The input is a unit impulse a. Determine . (10 points) b. Determine the frequency response and the impulse response such that. (10 points). Conversiony(n) of %(t) w(n) inpuse train H(ew) to a sequence P(t) low shows a...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
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