Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 13, Problem 3RQ
Name two important considerations in analog-to-digital conversion that yield errors.
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A 12-bit digital-to-analog converter has an output range of 0 to 10 V. Estimate the analog voltage output if the input is simple binary and has the decimal value of 45.
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600 pulses. If the worktable speed is 5 m/minute
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(d) 15 kHz
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Chapter 13 Solutions
Control Systems Engineering
Ch. 13 - Prob. 1RQCh. 13 - Name three advantages of using digital computers...Ch. 13 - Name two important considerations in...Ch. 13 - Prob. 4RQCh. 13 - Prob. 5RQCh. 13 - Prob. 6RQCh. 13 - Prob. 7RQCh. 13 - 8. What method for finding the inverse z-transform...Ch. 13 - What method for finding the inverse z-transform...Ch. 13 - In order to find the z-transform of a G(s), what...
Ch. 13 - Prob. 11RQCh. 13 - Prob. 12RQCh. 13 - Prob. 13RQCh. 13 - Prob. 14RQCh. 13 - Prob. 15RQCh. 13 - Prob. 16RQCh. 13 - Prob. 17RQCh. 13 - Prob. 18RQCh. 13 - Prob. 19RQCh. 13 - Prob. 20RQCh. 13 - Prob. 21RQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 17PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40P
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- b) LVDT is the most common and extensively used for displacement measurement. i. Explain briefly its working principle in measurement. ii. An LVDT has a maximum core motion of ±1.5 cm with a linearity of ±0.3 % over that range. The transfer function is 23.8 mV/mm. If it is used to track a motion from -1.2 cm to +1.4 cm, what is the expected output voltage? Further, calculate the maximum linearity deviation of the transfer function.arrow_forwardPlease briefly explain the working principle of an Optical Encoder. Please use the sketch to help your explanation. Explanation.arrow_forwardDisadvantages, advantages and differences between detrended fluctuation analysis (DFA) and Multifractal Detrended Fluctuation Analysis (MF-DFA).arrow_forward
- a) A rotary incremental encoder is used to measure the rotational speed of a shaft. The encoder disk is connected to the shaft directly and the sensor signal is fed into a frequency counter. The frequency counter is able to measure a frequency from 0 to 16kHz with the accuracy of 0.5Hz and the maximum speed of the shaft is 10000 rpm. i. Determine the required number of slots of the encoder disk in order to measure the maximum range of the shaft speed. What is the smallest change of speed detectable by the encoder and frequencv counter system as proposed in c(i) ? ii. iii. What are the advantages and disadvantages of increasing the nurnver or siots o be higher than that of c(i) ? What are the advantages and disadvantages of decreasing the nuniuei ui Siots to iv. be lower than that of c(i) ? b) Describe and briefly explain the advantages of instrumentation amplimiers over differentiai amplifiers and the areas of applications of instrumentation amplifiers. c) An LVDT with primary voltage…arrow_forwardThe resolution of an analog to digital converter can be found by using the formula ,V subscript F S end subscript over 2 to the power of n. Select one: True Falsearrow_forwardIdentify the GD & T datums that make up the primary daturm reference framearrow_forward
- The worktable of a numerical control machine tool is driven by a closed-loop positioning system which consists of a servomotor, leadscrew, and optical encoder. The leadscrew has a pitch of 0.25 in/rev and is coupled directly to the motor shaft. The optical encoder generates 200 pulse/rev. The table has been programmed to move a distance of 7.5 in at a feed rate=20 in/min. (a) How many pulses are received by the control system to verify that the table has moved the programmed distance? What are (b) the pulse rate and (c) motor speed that correspond to the specified feed rate?arrow_forwardQ2. The application glven as In figure A &B can be realized by using an ultra-sonic sensor. Also explain how triangulation method can be used for the same. Using sultable diagrams, explain the process of operation elaborately. Hll semor Oututpu tan s be courted tita) Figure A Soo: SENSOR OUT Figure Barrow_forwardThe resolution of an analog to digital converter can be found by using the formula ,fraction numerator V subscript F S end subscript over denominator 2 N end fraction. Select one: True Falsearrow_forward
- 5 Discussion 1-What is the DM? 2-How to reduce the slop over load? 3- What an optimum step can be determined to reduce noise and distortion delta modulation? 4-What is the deference between DM and PCM and which one is best? 5-what are the system parameters which control the step size (quantization amplitude) for a given sampling rate? 10 6-knowledge of the step size alone is insufficient to make a statement about the possibility of slope overload. What else needs to be known?arrow_forwardA stepper motor serves as the drive unit for the linear joint of an industrial robot. The joint must have an accuracy of 0.25 mm. The motor is attached to a leadscrew through a 2:1 gear reduction (2 turns of the motor for 1 turn of the leadscrew). The pitch of the leadscrew is 5.0 mm. The mechanical errors in the system (due to backlash of the leadscrew and the gear reducer) can be represented by a normal distribution with standard deviation = ±0.05 mm. Specify the number of step angles that the motor must have in order to meet the accuracy requirement.arrow_forwardThe worktable of a CNC machine tool is driven by a closed-loop positioning system that consists of a servomotor, ball screw, and optical encoder. The screw has 4 threads/in and is coupled directly to the motor shaft (gear ratio = 1:1). The optical encoder generates 180 pulses per motor revolution. The table is programmed to move a distance = 6.0 in at a feed rate = 25.0 in/min. (a) How many pulses are received by the control system to verify that the table has moved the programmed distance? Determine (b) the pulse rate and (c) motor speed that correspond to the specified feed rate.arrow_forward
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