Discription of basic control system

1. INTRODUCTION OF
CONTROL ENGINEERING
BY
ASHVANI SHUKLA
MANAGER(C&I)
BGR ENERGY

2. BASIC INTRODUCTION
• Control system engineering is the branch of engineering which deals
with the principles of control theory to design a system which gives
desired behavior in a controlled manner. Hence, this is
interdisciplinary. Control system engineers analyze, design, and
optimize complex systems which consist of highly integrated
coordination of mechanical, electrical, chemical, metallurgical,
electronic or pneumatic elements. Thus control engineering deals
with diverse range of dynamic systems which include human and
technological interfacing.
• Control system engineering focuses on analysis and design of
systems to improve the speed of response, accuracy and stability of
system. The two methods of control system include classical
methods and modern methods. The mathematical model of system is
set up as first step followed by analysis, designing and testing.

3. CONTROL SYSTEM
BLOCK DIAGRAM OF CONTROL
SYSTEM
DISTURBENCES
INPUT OUTPUT
MANIPULATED
VARIABLES

4. • Modern control engineering deals with Multiple Input Multiple Output
(MIMO) systems, State space approach, Eigen values and vectors etc. Instead
of transforming complex ordinary differential equations, modern approach
converts higher order equations to first order differential equations and
solved by vector method. Automatic control systems are most commonly
used as it does not involve manual control. The controlled variable is
measured and compared with a specified value to obtain the desired result.
As a result of automated systems for control purposes, the cost of energy or
power as well as the cost of process will be reduced increasing its quality
and productivity.
•Historical Review of Control Engineering
The application of Automatic control system is believed to be in use even
from the ancient civilizations. Several types of water clock were designed
and implemented to measure the time accurately from the third century BC,
by Greeks and Arabs. But the first Automatic system is considered as the
Watts Fly ball Governor in 1788, which started the industrial revolution. The
mathematical modeling of Governor is analyzed by Maxwell in 1868. In 19th
century, Leonhard Euler, Pierre Simon Laplace and Joseph Fourier developed
different methods for mathematical modeling. The second system is

5. • Types of Control Engineering
• Control engineering has its own categorization depending on the different
methodologies used, which are as follows.
• Classical Control Engineering : The systems are usually represented by using
ordinary differential equations. In classical control engineering, these
equations are transformed and analyzed in transformed domain. Laplace
transform, Fourier transform and z transform are examples. This method is
commonly used in Single Input Single Output systems.
• Modern Control Engineering : In modern control engineering higher order
differential equations are converted to first order differential equations.
These equations are solved very similar to vector method. By doing so, many
complications dealt in solving higher order differential equations are solved.
These are applied in Multiple Input Multiple Output systems where analysis
in frequency domain is not possible. Nonlinearities with multiple variables
are solved by modern methodology. State space vectors, Eigen values and
Eigen Vectors longs to this category. State Variables describe the input,
output and system variables.

6. • Robust Control Engineering : In robust control methodology, the changes in
performance of system with change in parameters are measured for optimization.
This aids in widening the stability and performance, also in finding alternate
solutions. Hence in robust control the environment, internal in accuracies, noises
and disturbances are considered to reduce the fault in system.
• Optimal Control Engineering : In optimal control engineering, the problem is
formulated as mathematical model of process, physical constraints and performance
constraints, to minimize the cost function. Thus optimal control engineering is the
most feasible solution for designing a system with minimum cost.
• Adaptive Control Engineering : In adaptive control engineering, the controllers
employed are adaptive controllers in which parameters are made adaptive by some
mechanism. The block diagram given below shows an adaptive control system.
• Nonlinear Control Engineering : Non linear control engineering focuses on the non
linearity’s which cannot be represented by using linear ordinary differential
equations. This system will exhibit multiple isolated equilibrium points, limit cycles,
bifurcations with finite escape time. The main limitation is that it requires laborious
mathematical analysis. In this analysis the system is divided into linear part and non
linear part.
• Game Theory : In game theory, each system will have to reduce its cost function

7. •On Off Control Theory | Controller
• Sometimes, the control element has only two position either it is fully
closed or fully open. This control element does not operate at any
intermediate position, i.e. partly open or partly closed position. The
control system made for controlling such elements, is known as on off
control theory. In this control system, when process variable changes
and crosses certain preset level, the output valve of the system is
suddenly fully opened and gives 100% output.
• Generally in on off control system, the output causes change in
process variable. Hence due to effect of output, the process variable
again starts changing but in reverse direction. During this change,
when process variable crosses certain predetermined level, the output
valve of the system is immediately closed and output is suddenly
reduced to 0%.

8. • As there is no output, the process variable again starts changing in
its normal direction. When it crosses the preset level, the output
valve of the system is again fully open to give 100% output. This
cycle of closing and opening of output valve continues till the said
on-off control system is in operation. A very common example of
on-off control theory is fan controlling scheme of transformer
cooling system. When transformer runs with such a load, the
temperature of the electrical power transformer rises beyond the
preset value at which the cooling fans start rotating with their full
capacity. As the cooling fans run, the forced air (output of the cooling
system) decreases the temperature of the transformer. When the
temperature (process variable) comes down below a preset value, the
control switch of fans trip and fans stop supplying forced air to the
transformer. After that, as there is no cooling effect of fans, the
temperature of the transformer again starts rising due to load. Again
when during rising, the temperature crosses the preset value, the
fans again start rotating to cool down the transformer. Theoretically,
we assume that there is no lag in the control equipment. That means,

10. • But in practical on off control, there is always a non zero time
delay for closing and opening action of controller elements.
This time delay is known as dead time. Because of this time
delay the actual response curve differs from the above shown
ideal response curve. Let us try to draw actual response curve
of an on off control system.

11. • Say at time T O the temperature of the transformer starts rising. The
measuring instrument of the temperature does not response
instantly, as it requires some time delay for heating up and
expansion of mercury in temperature sensor bulb say from instant T1
the pointer of the temperature indicator starts rising. This rising is
exponential in nature. Let us at point A, the controller system starts
actuating for switching on cooling fans and finally after period of T2
the fans starts delivering force air with its full capacity. Then the
temperature of the transformer starts decreasing in exponential
manner.
• At point B, the controller system starts actuating for switching off the
cooling fans and finally after a period of T3 the fans stop delivering
force air. Then the temperature of the transformer again starts rising
in same exponential manner. N.B.: Here during this operation we
have assumed that, loading condition of the electrical power
transformer, ambient temperature and all other conditions of
surrounding are fixed and constant.

12. • Control System | Closed Loop Open Loop Control System
• When a number of elements are combined together to form a system to
produce desired output then the system is referred as control system. As
this system controls the output, it is so referred. Each element connected to
the system has its own effect on the output. Definition of Control System
• A control system is a system of devices or set of devices, that manages,
commands, directs or regulates the behavior of other device(s) or system(s)
to achieve desire results. In other words the definition of control system can
be rewritten as A control system is a system, which controls other system.
• As the human civilization is being modernized day by day the demand of
automation is increasing accordingly. Automation highly requires control of
devices. In recent years, control systems plays main role in the development
and advancement of modern technology and civilization. Practically every
aspects of our day-to-day life is affected less or more by some control
system. A bathroom toilet tank, a refrigerator, an air conditioner, a geezer,
an automatic iron, an automobile all are control system. These systems are
also used in industrial process for more output. We find control system in
quality control of products, weapons system, transportation systems, power
system, space technology, robotics and many more. The principles of
control theory is applicable to engineering and non engineering field both.

13. • The main feature of control system is, there should be a clear
mathematical relation between input and output of the system. When
the relation between input and output of the system can be
represented by a linear proportionality, the system is called linear
control system. Again when the relation between input and output
cannot be represented by single linear proportionality, rather the
input and output are related by some non-linear relation, the system
is referred as non-linear control system. Requirement of Good
Control System
• Accuracy: Accuracy is the measurement tolerance of the instrument
and defines the limits of the errors made when the instrument is
used in normal operating conditions. Accuracy can be improved by
using feedback elements. To increase accuracy of any control system
error detector should be present in control system.
• Sensitivity: The parameters of control system are always changing
with change in surrounding conditions, internal disturbance or any

14. • Noise: An undesired input signal is known as noise. A good control
system should be able to reduce the noise effect for better
performance. Stability: It is an important characteristic of control
system. For the bounded input signal, the output must be bounded
and if input is zero then output must be zero then such a control
system is said to be stable system. Bandwidth: An operating
frequency range decides the bandwidth of control system. Bandwidth
should be large as possible for frequency response of good control
system. Speed: It is the time taken by control system to achieve its
stable output. A good control system possesses high speed. The
transient period for such system is very small. Oscillation: A small
numbers of oscillation or constant oscillation of output tend to
system to be stable.
•Types of Control Systems.
•Open loop control system

15. • A control system in which the control action is totally
independent of output of the system then it is called open loop
control system. Manual control system is also an open loop
control system. Fig - 1 shows the block diagram of open loop
control system in which process output is totally independent
of controller action. Practical Examples of Open Loop Control
System
• Electric Hand Drier – Hot air (output) comes out as long as you
keep your hand under the machine, irrespective of how much
your hand is dried.
• Automatic Washing Machine – This machine runs according to
the pre-set time irrespective of washing is completed or not.
•

16. • Before I introduce you the theory of control system it is very essential
to know the various types of control systems. Now there are various
types of systems, we are going to discuss only those types of
systems that will help us to understand the theory of control system
and detail description of these types of system are given below:
Linear Control Systems
• In order to understand the linear control system, we should know the
principle of superposition. The principle of superposition theorem
includes two the important properties and they are explained below:
• Examples of Linear Control System
• Consider a purely resistive network with a constant dc source. This
circuit follows the principle of homogeneity and additivity. All the
undesired effects are neglected and assuming ideal behavior of each
element in the network, we say that we will get linear voltage and
current characteristic. This is the example of linear control system.
Non-linear Systems
• We can simply define non linear control system as all those system
which do not follow the principle of homogeneity. In practical life all

17. • Examples of Non-linear System
• A well known example of non-linear system is magnetization
curve or no load curve of a dc machine. We will discuss briefly
no load curve of dc machines here: No load curve gives us the
relationship between the air gap flux and the field winding
mmf. It is very clear from the curve given below that in the
beginning there is a linear relationship between winding mmf
and the air gap flux but after this, saturation has come which
shows the non linear behavior of the curve or characteristics of
the non linear control system.

18. • Analog or Continuous System
• In these types of control system we have continuous signal as the input to the system.
These signals are the continuous function of time. We may have various sources of
continuous input signal like sinusoidal type signal input source, square type of signal
input source, signal may be in the form of continuous triangle etc. Digital or Discrete
System
• In these types of control system we have discrete signal (or signal may be in the form of
pulse) as the input to the system. These signals have the discrete interval of time. We can
convert various sources of continuous input signal like sinusoidal type signal input
source, square type of signal input source etc into discrete form using the switch.
• Now there are various advantages of discrete or digital system over the analog system
and these advantages are written below:
• Digital systems can handle non linear control systems more effectively than the analog
type of systems.
• Power requirement in case of discrete or digital system is less as compared to analog
systems. Digital system has higher rate of accuracy and can perform various complex
computations easily as compared to analog systems.
• Reliability of digital system is more as compared to analog system. They also have small
and compact size.
• Digital system works on the logical operations which increases their accuracy many times.
• Losses in case of discrete systems are less as compared to analog systems in general.

19. • Single Input Single Output Systems
• These are also known as SISO type of system. In this the system has single
input for single output. Various example of this kind of system may include
temperature control, position control system etc. Multiple Input Multiple
Output Systems
• These are also known as MIMO type of system. In this the system has
multiple outputs for multiple inputs. Various example of this kind of system
may include PLC type system etc. Lumped Parameter System
• In these types of control systems the various active (resistor) and passive
parameters (like inductor and capacitor) are assumed to be concentrated at
a point and that’s why these are called lumped parameter type of system.
Analysis of such type of system is very easy which includes differential
equations. Distributed Parameter System
• In these types of control systems the various active (resistor) and passive
parameters (like inductor and capacitor) are assumed to be distributed
uniformly along the length and that’s why these are called distributed
parameter type of system. Analysis of such type of system is slightly difficult
which includes partial differential equations.

20. •Block Diagrams of Control System
• The block diagram is to represent a control system in diagram form.
In other words practical representation of a control system is its
block diagram. It is not always convenient to derive the entire
transfer function of a complex control system in a single function. It
is easier and better to derive transfer function of control element
connected to the system, separately. The transfer function of each
element is then represented by a block and they are then connected
together with the path of signal flow. For simplifying a complex
control system, block diagrams are used. Each element of the control
system is represented with a block and the block is the symbolic
representation of transfer function of that element. A complete
control system can be represented with a required number of
interconnected such blocks. In the figure below, there are two

21. • In addition to that, the diagram also shows there is a feedback
path through which output signal C(s) is fed back and
compared with the input R(s) and the difference between input
and output E(s) = R(s) – C(s) is acting as actuating signal or
error signal.
• In each block of diagram, the output and input are related
together by transfer function. Where, transfer function.
• G(S) =C(S)/R(s)
• where, C(s) is the output and R(s) is the input of that particular
block. G(S)
C(s) R(s)