For
Feedback Control of Dynamic
Systems .
.
Gene F. Franklin
.
J. David Powell
.
Abbas Emami-Naeini
.
algebra. Mathematics is crucial in many industries, including engineering, finance, data science, and technology. The primary goal of mathematics exams is to test students' understanding of mathematical
concepts, their problem-solving abilities.
.
.
Assisted by:
H.K. Aghajan
H. Al-Rahmani
P. Coulot
P. Dankoski
S. Everett
R. Fuller
T. Iwata
V. Jones
F. Safai
L. Kobayashi
H-T. Lee
E. Thuriyasena
M. Matsuoka
, Chapter 1
An Overview and Brief
History of Feedback Control
1.1 Problems and Solutions
1. 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 float and valve
(d) Watt's steam engine with fly-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 output signal
● the sensor
● the actuator
● the actuator output signal
● The reference 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:
algebra. Mathematics is crucial in many industries, including engineering, finance, data science, and technology. The primary goal of mathematics exams is to test students' understanding of mathematical concepts, their problem-
solving abilities
, (b) Drebbel's incubator:
(c) Water level regulator:
(d) Fly-ball governor:
algebra. Mathematics is crucial in many industries, including engineering, finance, data science, and technology. The primary goal of mathematics exams is to test students' understanding of mathematical concepts, their problem-
solving abilities
, (e) Automatic steering of a ship:
(f) A public address system:
algebra. Mathematics is crucial in many industries, including engineering, finance, data science, and technology. The primary goal of mathematics exams is to test students' understanding of mathematical concepts, their problem-
solving abilities
2. Identify the physical principles and describe the operation of the thermo-
stat in your home or office.
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 termperature in the room is brought back