Activities Manual for Programmable Logic Controllers
Activities Manual for Programmable Logic Controllers
5th Edition
ISBN: 9781259679568
Author: Petruzella, Frank
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 14, Problem 8RQ
Program Plan Intro

Control systems:

  • A control system refers to a system that is capable of managing, commanding, directing, or regulating the behavior of other machines or devices.
  • Generally, a feedback controller is used for controlling a process or operation automatically.
  • It has a wide range of applications including home heating controller, industrial control systems and many such.

On/off control:

  • The on/off control makes use of a feedback controller which switches abruptly between two states.
  • It is used to keep the final control element in the system in either on or off state.
  • A simple bi-metallic domestic thermostat can be related as an on-off controller.

Proportional control:

  • Proportional control refers to a linear feedback control system.
  • It is used to keep the final control element in intermediate positions between the on-off controls.
  • It is more complex than an on-off control system.
  • Examples of proportional controller include toilet bowl float proportional value and fly-ball governor.

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule.

Chapter 14 Solutions

Activities Manual for Programmable Logic Controllers

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