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http://www.iaeme.com/IJMET/index.asp 399 [email protected]
International Journal of Mechanical Engineering and Technology (IJMET)
Volume 9, Issue 10, October 2018, pp. 399–416, Article ID: IJMET_09_10_043
Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJMET&VType=9&IType=10
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
ADAPTIVE CONTROLLER TO MINIMIZE
POSITION DISTURBANCES OF TOOL PIN
WHILE JOINING ALUMINIUM METAL
MATRIX COMPOSITES BY FRICTION STIR
WELDING
Rahul SG, Kavitha P
School of Electrical Engineering
Vellore Institute of Technology, Vellore, Tamilnadu, India
ABSTACT
Friction Stir Welding is more feasible in joining of Aluminium Metal Matrix
Composites (AMMC) than fusion welding process which avoids the formation of
Intermetallic Compounds in weld zone. In this study, an adaptive controller is
developed for joining Al6061/SiC/B4C composites by Friction Stir Welding to address
the position disturbances of the rotating tool pin. The aluminium composites are
initially prepared with five different combinations of disperoids and are welded at
three level parameter settings followed by tensile testing. The obtained experimental
data are used to estimate the model of the plant by System Identification method.
Using the estimated model of the plant, PID controller and an adaptive controller are
developed to control the position of rotating tool pin during the occurrences of
disturbance. The study indicates that, PID controller results in a noise response while
the MRAC results in a smooth response. Experimental validation is done by welding
the AMMC samples using MRAC followed by microscopic studies. The results
emphasize that, MRAC results in superior performance by minimizing position
disturbances.
Key words: Friction Stir Welding, Aluminium, Composite, PID, Adaptive Controller.
Cite this Article: Rahul S G, Kavitha P, Adaptive Controller to Minimize Position
Disturbances of Tool Pin While Joining Aluminium Metal Matrix Composites by
Friction Stir Welding, International Journal of Mechanical Engineering and
Technology 9(10), 2018, pp. 399–416.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=9&IType=10
1. INTRODUCTION
In this study, Aluminium Metal Matrix Composites (MMC) are joined using FSW process.
Aluminium Metal Matrix Composites (AMMC’s) are widely preferred in designing aerospace
parts like as fuselage, fins, wings, etc and in automobile parts such as foot rest, brake drum,
head light [1] and [2]. AMMC holds good strength, less weight, strong hold after material
Rahul S G, Kavitha P
http://www.iaeme.com/IJMET/index.asp 400 [email protected]
processing leading to a superior performance [3]. Fusion welding is not preferred for joining
AMMC’s due to the formation of Intermetallic Compound formation (IMC) due to complex
chemical reactions between metal matrix and the disperoids which makes the weldments
brittle [4]. In conventional days, riveting was used for joining of aerospace and automobile
components which was not an economical method [5] and [6]. Emergence of FSW has
altered this approach thereby saving energy, resources and cost. Friction Stir welding possess
several benefits compared to other fusion welding process such as; less workpiece distortion,
fine microstructure, good joinability, no shielding gas, no consumable materials, no surface
cleaning and decreased fuel consumption etc [6]. Some authors have presented brief review
on FSW process, joining of AMMC by FSW, the effects of process parameters influencing
the process variables ([7], [4], [8], [9] and [10]). Most of the works carried out on joining
Aluminium Metal Matrix Composites using FSW process involved welding at various input
parameter levels. Followed by, authors studied the tensile properties, analysed the
microstructure and Intermetallic Compound Layer formations using Scanning Electron
Microscopy ([11], [12], [13], [14], [15], [16], [17], [18], [19]). Some works were on
development of empirical equations between the interdependent parameters [20].
The important process parameters in FSW which can be controlled are; traverse speed,
rotational speed, axial force on workpiece, and contact angle between workpiece and tool
which affect the heat generation and strength of the weld zone [21]. The rotation of tool pin
causes the materials to undergo stirring and mixing. Faster tool pin rotation generates high
temperatures due to increased frictional heating leading to intense mixing of materials. An
optimal value of these parameters can result in efficient weldments [22].
Very few works have been carried out in control aspects of FSW process. Some of the
literature reports on control system for FSW are discussed as follows. Xin Zhao related the
process parameters (travel speed, rotation speed, plunge depth) to the process variables (path
and axial force) to develop empirical models. The steady state relationships were developed,
and dynamic studies were carried out by low order linear equations. Experimental results
validated the findings [23]. Xin Zhao et al., presented an FSW path force controller. A process
model was developed to relate the rotational speed of the tool. Smith Predictor Control was
developed using Pole Placement technique and the results were experimentally validated [24].
Paul A. Fleming presented his thesis on monitoring and controlling during FSW process. The
authors presented novel methods for gap detection during the process and automatic fault
detection techniques. The models were developed using MATLAB and the results were
experimentally validated [25]. Tyler A. Davis developed an observer based adaptive robust
control for controlling the axial force to eliminate model errors and disturbances. The
experimental validations showed that axial force vibrations were reduced drastically [26].
William R. Longhurst et al., developed a torque controller for FSW process. A Ziegler-
Nichols tuned PI controller was developed to control the toque with a standard deviation of
0.231 Nm. The authors suggested that controlling torque is beneficial than controlling force in
maintaining the tool depth and axial force [27]. Jeroen De Backer et al., developed a
temperature control system to modify spindle speed for maintaining the temperature using
thermoelectric effect. The results were experimentally validated by applying the control
system to a robotic FSW machine [28]. Tom J. Stockman et al., developed a thermal control
system for FSW process. The authors suggested to use induction coil for preheating the base
martials instead of depending on the frictional heat for controlling the temperature. A 2D heat
transfer model was developed and basic feedback control scheme was used in this study [29].
Jeroen De Backer developed a feedback control scheme for robotic FSW process. The
initial study was to understand the effects of welding forces on the accuracy of the robot and a
deflection model was developed for the robot. Then, a temperature control scheme model was
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
http://www.iaeme.com/IJMET/index.asp 401 [email protected]
developed to control temperature by varying the tool rotation speed. The combinations of the
two models resulted in defect free weldments [30]. B.T. Gibson et al., presented a brief
review on FSW process, its control and automation. Aspects in robotic FSW and evaluation
methods for weld quality are also presented in the review article [31]. Nur’Amirah Busu et al.,
presented a review on controlling force in FSW process during joining aluminium alloys. In
this study, control of the axial force, travel force and torque were performed by varying the
FSW process parameters. The study also reflects the drawback s of the control strategies and
suggests the techniques to improve the weld quality [32]. Brandon Scott Taysom presented
his work on controlling temperature for FSW process by developing a Model Predictive
Control. The study was done by developing two models; first-order plus dead time model and
a heat source model. The MPC controller resulted in superior performance [33]. Nuno
Mendes et al., presented a review on control schemes applied in FSW process. The authors
necessitated the significance of fine tuning the FSW process parameters. The advantages and
disadvantages of few control schemes are discussed [34]. Shujin Chen et al., developed a
closed loop PID control-based Smith Predictor control system to control the temperature. The
PID controller tuning was done using ZN technique. The experimental results showed that the
control scheme was more feasible, and the tensile strength of the weldments were uniform
[35]. Markus Krutzlinger et al., developed a PI-temperature control system during dissimilar
metal joining (aluminium-copper) using FSW process. Six levels of temperature were used in
conducting the experiments and the study showed formation of IMC layer [36]. The welded
samples were examined using microscopic studies. It is understood that most studies were on
control of torque, force and temperature during FSW process. In the present study, the
position disturbances of rotating tool pin during FSW process of joining AMMC plates is
addressed by developing a Model Reference Adaptive Controller (MRAC). The performance
of the adaptive controller is compared with that of a standard PID controller followed by
experimental validations and microscopic studies.
2. EXPERIMENTATION AND METHODOLOGY
Aluminium Matrix Composites consisting Aluminium 6061 of 60-70%, Silicon Carbide (SiC)
0f 10-20% and 5-10% of Boron Carbide (B4C) are prepared at different compositions as
shown in Table 1 using the powder metallurgy process. Aluminium alloy 6061 powders are
mixed with crystalline SiC and B4C in ball mill for 15 min followed by air drying of the
powder blends. Subsequently, sintering of powder mixtures are done using plasma sintering at
950 °C with a pressure of 50 MPa. The dimensions of circular sintered samples are, 40 mm
radius and 5 mm thickness. Plates with dimension 150 × 100 × 5 mm are prepared and cut
into square plates. All the prepared samples at four different combinations of AMMC’s are
joined using FSW process setup available in Chennai as shown in
Figure 1. A high strength carbon steel cylindrical tool is used as shown in Figure 2.
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Figure 1 Experimental setup of FSW process
Figure 2 High strength carbon cylindrical tool
Table 1 Samples Specification
S. No Weight % of the samples
Aluminium 6061 SiC B4C
Combo 1 70 20 10
Combo 2 73 19 8
Combo 3 77 17 6
Combo 4 80 15 5
Combo 5 75 16 9
Welding parameters controlling the process are; welding speed, spindle speed and plunge
depth. Each parameter is placed in three equally spaced values, coded at levels -1, 0, and +1.
The levels of welding parameters are shown in
Table 2.The welding for all four combinations of AMMC’s plates are performed at three
parameter levels as shown in
Table 2.
Table 2 Levels of welding parameters
All the weldments are cooled and cleaned with a wire brush. The samples are then
subjected to tensile test using an Instron 8801 series 100 KN capacity servo hydraulic testing
machine after preparing the samples at ASTM E8-04 standard (as shown in Figure 3).
Welding Parameters Level -1 Level 0 Level 1
Spindle speed (rpm) 700 900 1100
Welding speed (mm/sec) 0.8 1.3 1.8
Plunge depth (mm) 0.05 0.10 0.15 Welding Parameters Level -1 Level 0 Level 1
Spindle speed (rpm) 700 900 1100
Welding speed (mm/sec) 0.8 1.3 1.8
Plunge depth (mm) 0.05 0.10 0.15
Welding Parameters Level -1 Level 0 Level 1
Spindle speed (rpm) 700 900 1100
Welding speed (mm/sec) 0.8 1.3 1.8
Plunge depth (mm) 0.05 0.10 0.15
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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Figure 3 Samples of five combinations of Al6061/SiC/B4C cut for tensile test
The results of of Tensile strength and Yeild strength are presented in Table 3.
Table 3 Weld quality of the samples joined by experimental trials by NDT
AMMC
Combinations
Spindle Speed
(rpm)
Welding Speed
(mm/sec)
Plunge Depth
(mm)
Tensile Strength
(Mpa)
Yeild Strength
(Mpa)
Combo 1
(Al-70%, SiC-
20%, B4C-
10%)
700 0.8 0.05 102 87
900 1.3 0.1 104 89
1100 1.8 0.15 105
91
Combo 2
(Al-73%, SiC-
19%, B4C-8%)
700 0.8 0.05 99 85
900 1.3 0.1 100 86
1100 1.8 0.15 101 87
Combo 3
(Al-77%, SiC-
17%, B4C-6%)
700 0.8 0.05 111 90
900 1.3 0.1 115 92
1100 1.8 0.15 117 93
Combo 4
(Al-80%, SiC-
15%, B4C-5%)
700 0.8 0.05 91 85
900 1.3 0.1 94 88
1100 1.8 0.15 97 91
Combo 5
(Al-75%, SiC-
16%, B4C-9%)
700 0.8 0.05 109 89
900 1.3 0.1 112 90
1100 1.8 0.15 116 95
3. RESULTS AND DISCUSSIONS
The results of this study are presented in the following sections.
3.1. Estimation of Plant Model Using System Identification Technique
To design a position controller, the initial requirement is to obtain the plant model which is to
be controlled [37]. For systems with a known plant model, we can directly design a controller.
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For unknown systems, mathematical model can be estimated using system identification
technique as shown in Figure 4.
From the literature [30] and [29], it is understood that, for the given variables ( ) and
( ) the transfer function model is First order plus dead time model (FOPTD) denoted by,
( )
( ) ( )
Where,
– Time constant of the FSW process
– Gain of FSW process
– Dead time of the process,
In s-domain the FOPTD model of FSW system is represented as,
( )
The available input-output experimental data in Table 3 is used in estimating the transfer
function of the plant using System Identification method with the help of MATLAB. The
transfer function obtained is second order type with two poles and one zero (shown in Figure
5) and is represented as;
( )
Using Pade approximation technique the second order transfer function is approximated as
FOPTD model with one pole (as shown in Figure 6) is given by,
( )
Import the experimental
data (Spindle speed, Weld
speed, Plunge depth and
Tensile Strength)
Merge all the
experimental
data
Working data
Estimation
type
Transfer
Function
model
Export to
workspace
Figure 4 Procedure involved in estimating the TF using System Identification
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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Figure 5 Pole-Zero plot of the second order plant model
Figure 6 Pole-Zero plot of the FOPTD plant model
3.2. Controller Synthesis
This section discusses the synthesis of two control schemes; a conventional PID controller
and an adaptive controller; Model Reference Adaptive Controller.
3.2.1. Standard PID Controller
The most standardised conventional controller is the PID controller which is fundamentally
used in most of the control applications. The PID controller transfer function is denoted by,
( ) ( )
Where,
– Proportional gain
– Integral gain
– Derivative gain
Tuning is a procedure for obtaining desired values of controller gains. The most common
tuning method is Zeigler Nichols method (ZN) [38]. With advancement in computation, auto
tuning is performed in MATLAB. The values controller of the tuned gains is; = -8.487,
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= -1.548 and = -0.2063. The step response of the FOPTD model while using PID
controller is shown in Figure 7.
Figure 7 Step response of PID controller
3.2.2. Enhanced Model Reference Adaptive Controller
The conventional linear feedback controllers such as P, PI and PID controller do not hold
good performance in non-linear unstable processes due to to the variations in process
dynamics and external disturbances [39]. To cope up with such uncertainties, adaptive control
came into existence from the 1960s. The adaptive controller consists a feedback unit with
adjustable parameter system. After sensing the out of the plant, the error is sent to controller
block [40]. Also, an adaptation loop acts on the parameters to be adjusted during the
occurrence of disturbances. The adaptation loop works in finding optimal values for the
controller gains. The control signal from controller, output signal from plant and the desired
set point value are fed to the parameter updating block in the adaptation loop. Suitable
adaptation mechanism is used in updating the controller parameters. The MRAC control
scheme is shown in Figure 8.
ControllerActual plant
P
Adaptive
Mechanism
Reference
Model
yref
yp
Plant
output
error
Control
signalSetpoint
- -
Figure 8 The Model Reference Adaptive Control (MRAC) Scheme
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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The MRAC updates the controller parameters to change the response of the system
response to match a reference model. A second order reference model is preferred in the study
which is represented by,
The adaptation mechanism used in MIT rule. MRAC observes the error ( ) which is the
difference between the plant output ( ) and the reference model ( ).
The adaptive mechanism updates the controller parameters. A loss function ( ) is formed
from the observed error. In the loss function ( ), theta ( ) is the parameter that which is
adapted in the controller,
( )
( )
The MIT rule states that, the loss function must be minimised which is is achieved by
varying in opposite direction of the gradient which is denoted by,
Where, the learning rate (γ) is influenced by the control signal. Normalised adaptation
scheme is carried out in this study.
And
Normalised MIT tuning rule shown in above equation specifies the significance of
removing the difficulty of zero division for small values of , which is the change in error
with respect to ).
Figure 9 Step response of MRAC
The step response of MRAC is shown in Figure 9. It is observed that the settling occurs
faster in MRAC than that of the PID controller for the FSW system.
3.3. Validation of Position Disturbance Rejection
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The performance analysis is carried for the developed PID and MRAC controllers by applying
asymmetric input patterns as position disturbances. The controller responds to the
disturbances and adapts to the applied patterns. A combination of sinusoidal signals is used to
form the asymmetric position disturbance ( ) which are mathematically denoted by,
( ) ( ( ) ( ) ( ) ( ))
Where,
- Equilibrium operating point applied when multiple sine signals are applied
– Magnitudes of the three sinusoidal signals
– Frequencies of the three sinusoidal signals
– Bias
The input pattern with and the frequencies, respectively are used in analysing the system behaviour. The validation is
done for 30 seconds and the responses of PID controller and MRAC are shown in Figure 10
and Figure 11 respectively.
Figure 10 Response of PID controller to the asymmetric position disturbances
Figure 11 Response of MRAC to the asymmetric position disturbances
It is observed that PID controller adapts to the sinusoidal position disturbance with more
noisy response. Whereas, the MRAC adapts to the disturbances with a smooth response and
there is no noise. Its is understood that MRAC results in superior disturbance rejection even
for small changes in position (here between 0.25 mm) that that of the PID controller.
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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Figure 12 Power Spectral Density of PID and MRAC
To validate the performance, the Root Mean Square Error (RMSE) value is computed for
the PID controller and MRAC respectively. It is found that, RSME value for PID is 0.2853
and for the MRAC, it is 0.2812. The Figure 12 shows the Power Spectral Density (PSD) of
the position controlling by PID controller and MRAC scheme. It is inferred that latter results
in lesser PSD than the former which indicates that MRAC is superior in providing position
control of the tool pin during disturbances. The same is validated experimentally in the
following section.
3.4. Experimental Validation during Friction Stir Welding of Aluminium
6061/SiC/B4C Composites
Tensile test is carried out to measure the tensile strength of the joined AMMC plates. The
optimal values of spindle speed, welding speed, and plunge depth are 1100 rpm, 1.8mm/sec
and 0.10 mm respectively which are achieved after series of experimental runs in attaining
defect free weldments. All the five combinations of samples are joined by implementing
MRAC position control scheme. The samples are cut as per ASTM E8-04 standard (as shown
in Figure 13) and are subjected to tensile test using Instron 8801 series 100 KN capacity servo
hydraulic testing machine (shown in Figure 14).
Figure 13 Samples of five combinations of Al6061/SiC/B4C subjected to tensile test
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Figure 14 Universal Testing Machine for performing Tensile test
Table 4 Tensile test result of the AMMC combinations
AMMC Combinations UTS (MPa) Yield Strength (MPa) Location of failure
Combo 1
(Al-70%, SiC-20%, B4C-10%)
106
92
Stir Zone
Combo 2
(Al-73%, SiC-19%, B4C-8%)
102
87
Stir Zone
Combo 3
(Al-77%, SiC-17%, B4C-6%)
118
94
Heat Affected Zone
Combo 4
(Al-80%, SiC-15%, B4C-5%)
96
90
Stir Zone
Combo 5
(Al-75%, SiC-16%, B4C-9%)
115
95
Heat Affected Zone
The failure zones are observed in the locations namely; Weld Zone, Heat Affected Zone
and Stir Zone. From the Table 4, it is understood that failure mainly occurs in Stir zone for
AMMC combinations (combo 1, Combo 2 and Combo 4) on the advancing side of the
weldment which is due to lack of penetration and localized defects and flaws during stirring.
Failure at stir zone indicates bad bonding of the weldments. Thereby, the position control of
tool pin is good while implementing MRAC even during the presence of small position
disturbance. Among the five combinations of AMMC’s, higher strength is observed for the
Combo 3 (Al-77%, SiC-17%, B4C-6%) and Combo 5 (Al-75%, SiC-16%, B4C-9%) and their
respective failure occurs only at TMAZ.
3.5. Microscopic Studies
Microscopic examinations are done for the validated sample of combo 3 using SEM. The
different zones examined are; microstructure of base material, stir zone and heat affected
zone. The image in Figure 15 shows wavery pattern which represents the brittle fractured
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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portion of HAZ. The fracture occurred due to insufficient heating which could be a result of
insufficient stir time or plunge depth at the HAZ.
Figure 15 Brittle fractured region of HAZ
The Figure 16 represents the SEM image of the base material. It is observed that, there is a
homogeneous dispersion of SiC and B4C in the composite. Few traces of burr are observed in
some regions. There is no segregation of particles in the composite plates.
Figure 16 SEM image of base material
The Figure 17 and Figure 18 shows the optical microscopic image and SEM image of Stir
Zone respectively. Onion ring patterns are observed in the SEM image. During stirring,
particle re-arrangement occurs. Onion ring patterns are formed due to a geometric effect in
which the cylindrical sheets of base materials are extruded and cut during tool rotation. The
Figure 19 and Figure 20 shows the EDAX mapping and elemental distribution of Al, C, O, Si,
K and Fe at the Stir Zone. The major constituents are 61.25 % Aluminium, 19.97 %Carbon
and 16.50 % Oxygen. A defect free bonding is observed from the pattern indicating good
bonding.
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Figure 17 Stir Zone with good bonding
Figure 18 SEM image of stir zone
Figure 19 EDAX mapping at Stir Zone
Adaptive Controller to Minimize Position Disturbances of Tool Pin While Joining Aluminium
Metal Matrix Composites by Friction Stir Welding
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Figure 20 Elemental distribution at Stir Zone
4. CONCLUSIONS
In this study, an adaptive controller (MRAC) is developed to control the position disturbances
of tool pin during Friction Stir Welding of Al6061/SiC/B4C Composite plates prepared at
different composition 60-70%, 10-20% and 5-10% respectively. The following conclusions
are made;
After welding, AMMC plates at three parameter settings tensile test is done. The experimental
data is used to estimate the plant transfer model using System Identification technique which
is a First Order Plus Dead Time (FOPTD) transfer function model.
A PID controller and MRAC are developed for the estimated model. The PID controller
parameters are obtained by auto tuning and the parameters of MRAC are updated using
modified MIT rule.
When both the controllers are tested for asymmetric position disturbances of tool pin, PID
resulted in noise response while MRAC adapted to the disturbances and resulted in a smooth
response curve.
Performance validation for both controllers are done by computing the Root Mean Square
Error which is 0.2853 for PID and 0.2812 for MRAC. Also, it is inferred that MRAC results in
lesser Power Spectral Density
Experimental validation is carried out by implementing MRAC during FSW of AMMC plates
of all combinations at optimal parameter settings (1100 rpm spindle speed, 1.8 mm/sec
welding speed, and 0.10 mm plunge depth respectively). Followed by, the samples are
subjected to tensile test. It was observed that, higher strength of 118MPa is observed for the
Combo 3 (Al-77%, SiC-17%, B4C-6%)
The microstructural studies of Combo 3 reveal that there is homogeneous dispersion of SiC
and B4C in the combo 3 composite. Few traces of burrs are observed in the base material. The
stir zone is uniform with onion ring patters indicating a good bonding. The EDAX mapping at
stir zone shows the presence of 61.25 % Aluminium, 19.97 %Carbon and 16.50 % Oxygen as
major constituents.
ACKNOWLEDGEMENT
The authors would like to thank Professor Dr. S. Arungalai Vendan and Professor Ashraff Ali
for their extensive support and suggestions for conducting experimentation.
Rahul S G, Kavitha P
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