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Solutions Manual:
7th Edition FeedbackControlofDynamic Systems Gene F. Franklin
- David Powell
Abbas Emami-Naeini© 2015 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.NOTE: For the Comlete File, Download link at the end of this File) 1 / 4
Chapter 1 An Overview and Brief History of Feedback Control 1.1 Problems and Solutions
- Draw a component block diagram for each of the following feedback control
systems.(a) The manual steering system of an automobile (b) Drebbel’s incubator (c) The water level controlled by a ‡oat and valve (d) Watt’s steam engine with ‡y-ball governor In each case, indicate the location of the elements listed below and give the units associated with each signal.the process the process desired output signal the sensor the actuator the actuator output signal the controller the controller output signal the reference signal the error signal Notice that in a number of cases the same physical device may per- form more than one of these functions.
Solution:
(a) A manual steering system for an automobile:
1001© 2015 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458. 2 / 4
1002CHAPTER 1. AN OVERVIEW AND BRIEF HISTORY OF FEEDBACK CONTROL
(b) Drebbel’s incubator:
(c) Water level regulator:
(d) Fly-ball governor:© 2015 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458. 3 / 4
1.1. PROBLEMS AND SOLUTIONS1003
- Identify the physical principles and describe the operation of the thermo-
stat in your home or o¢ ce.
Solution:
A thermostat is a device for maintaining a temperature constant at a desired value. It is equipped with a temperature sensor which detects deviation from the desired value, determines whether the temperature setting is exceeded or not, and transmits the information to a furnace or air conditioner so that the temperature in the room is brought back to the
desired setting. Examples: Tubes …lled with liquid mercury are attached
to a bimetallic strip which tilt the tube and cause the mercury to slide over electrical contacts. A bimetallic strip consists of two strips of metal bonded together, each of a di¤erent expansion coe¢ cient so that temper- ature changes bend the metal. In some cases, the bending of bimetallic strips simply cause electrical contacts to open or close directly. In most cases today, temperature is sensed electronically using,for example, a ther- mistor, a resistor whose resistance changes with temperature. Modern computer-based thermostats are programmable, sense the current from the thermistor and convert that to a digital signal.© 2015 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. For information regarding permission(s), write to: Rights and Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
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