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International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
INTERNATIONAL JOURNAL OF ELECTRONICS AND
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

COMMUNICATION ENGINEERING & TECHNOLOGY (IJECET)

ISSN 0976 – 6464(Print)
ISSN 0976 – 6472(Online)
Volume 4, Issue 6, November-December, 2013, pp. 29-35
© IAEME: www.iaeme.com/ijecet.asp
Journal Impact Factor (2013): 5.8896 (Calculated by GISI)
www.jifactor.com

IJECET
©IAEME

A SIMULATION OF COLOUR STRENGTH MEASUREMENT SYSTEM FOR
PRINTED FABRIC USING FUZZY LOGIC
Miss. Snehal S. Mule1, Prof. (Dr.) Shrinivas A. Patil2, Prof. (Dr.) S.K.Chinta3
1

(Department of Electronics Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji,
India
2
(Department of Electronics Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji,
India
3
(Department of Textile Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji, India

ABSTRACT
This paper presents a Fuzzy Logic Controller (FLC) system for textile Industry. This work
describes a method for implementation of a rule-based fuzzy logic controller applied to a Colour
strength measurement of printed fabric. The designed Fuzzy Logic Controller’s performance is and
compared with conventional CCM (Computer Colour matching). In textile quality printing is very
important and it depends on parameters like K/S Ratio, Reflectance, L, a, b, c, H.For measurement of
colour strength, samples of three colours red, blue and golden yellow with two thickeners for each
are taken and the control architecture is developed which includes some rules. These rules show a
good relationship between three inputs and an all outputs.The proposed system has been simulated in
MATLAB/SIMULINK. The controller has then been tuned by trial and error method and simulations
have been run using the tuned controller.
Keywords: Computer Colour matching (CCM), Fuzzy Logic Controller (FLC), K/S Ratio,
Reflectance, MATLAB/SIMULINK
1. INTRODUCTION
Textile industry is most essential part of our society. In Textile industryColour strength (K/S
value) is most important parameter to test the quality measurement of a sample in terms of depth of
the Colour printed fabric. The conventional method of Colour strength (K/S value) measurement is
CCM (computer Colour matching). The Colour strength of printed fabric samples is measured with
variation in thickeners versus printing conditions such as fabric GSM (grams per square-meter),
number of strokes and viscosity in printing process. K/S value, Reflectance, L, a, b, C, h parameters

29
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

are related to the colour strength of printed fabric, also these parameters can be measured by using
CCM (Computer colour matching) system.[1]-[4]
In this system the Colour strength is measured by using Kubelka-Munk theory and the Colour
strength is defined as a function of fabric GSM (grams per square-meter), number of strokes and
viscosity. The restrictions of Kubelka–Munk theory is the actual theory does not deal with all
parameters of printed fabric, its response is affected by working conditions and it depends on
mathematical model therefore its complexity increases as parameters increased.[5,6] Hence the
conventional methodshave difficulties like Dependence on the accuracy of the mathematical model
of the system, Expected performance not being met due to the disturbance, thermal deviations in
room, Shows good performance only at one operating condition.
To minimize thesedifficulties of conventional CCM system, fuzzy control has been
implemented which is mostly used for complex system where accurate mathematical models cannot
give the satisfactory results.A fuzzy logic controller alsomakes good performance in terms of
stability, precision, reliability and rapidity achievable.
This paper is organized into seven sections. In section 2 the characteristics of CCM, its
operation is presented. In section 3 Fuzzy Logic Controller is described in Brief. In section 4
Functional block diagram of system is described in detail.In section 5 design of FLC is explained. In
section 6 Simulation model and simulation results are discussed. In section 7 the conclusions are
defined.
2. INTRODUCTION OF COMPUTER COLOUR MATCHING (CCM) SYSTEM
The working procedure of CCMS which is used in dyeing lab to match the shade of the
products. Generally buyer gives a fabric sample swatch or Panton number of a specific shade to the
producer. Producer gives the fabric sample to lab dip development department to match the shade of
the fabric. After getting the sample they analyze the colour of the sample manually. On the other
hand they can take help from computer colour matching system.
At first it needs to fit the sample to the spectrophotometer which analyzes the depth of the
shade and it shows the results of the Colour depth. At the same time it needs to determine the Colour
combination by which you want to dye the fabric. Then it will generate some dyeing recipe which is
nearly same.
After formation of dyeing recipe it needs to dye the sample with stock solution. Then sample
should dye according to the dyeing procedure.[6]-][9] After finishing the sample dyeing it needs to
compare the dyed sample with the buyer sample. For this reason dyed sample are entered to the
spectrophotometer to compare the sample with the buyer sample.
3. FUZZY LOGIC CONTROLLER (FLC) SYSTEM
Fuzzy logicis wonderful solution to non-linear systems because it is closer to the real world.
Non-linearity is handled by rules, membership functions, and the inference process which results in
improved performance, simpler implementation, and reduced design cost.
With a fuzzy logic design some time consuming steps are eliminated. During the debugging
and tuning cycle you can change your system by simply modifying rules, instead of redesigning the
controller. In addition, since fuzzy is rule based, you do not need to be an expert in a high or low
level language which helps you focus more on your application instead of programming.
[10] Therefore Fuzzy Logic substantially reduces the overall development cycle.

30
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

4. BLOCK DIAGRAM OF FLC SYSTEM
The Functional system of FLC for Colour strength measurement of printed fabric by using
fuzzy system is shown in Fig.1.

Fig.1: Functional block diagram of FLC
As shown in Fig.1. Thickener, Colour, GSM, Viscosity and No. of Strokes are the input
variables of fabric Samples. Here total two types of thickeners of samples are taken viz. thickener
(Sodium alginate) and thckener2 (Gum indalca) and three different types of colours are selected viz.
Blue, Red and Golden Yellow means total six types samples are taken. Another three input
parameters are used for each sample. These are GSM value Viscosity and No. of Strokes. In this
GSM have four values like GSM1, GSM2. Viscosity has four values and four types of strokes are
used.
All these input values are crisp values and given to the FLC Controller block. The inference
system then processes these fuzzy inputsusing the fuzzy control rules and the database, which are
defined by the programmer based onthe chosen membership function and fuzzy rule table, to give an
output fuzzy variable. The fuzzyoutput thus obtained is defuzzified by the defuzzifier to give a crisp
value, which are given to multi-port block this block Choose between multiple block inputs. Total
six parameters are selected in this system these are K/S ratio, Reflectance, a, b, C and H. these are
displayed on Display block. FLC is developed in FIS editor. The FIS program thus generatedis to be
fed to the FLC before proceeding with the simulation.
5. DESIGN OF FUZZY LOGIC CONTROLLER
5.1. Membership Function Design
The designed input membership functionsfor Fuzzy Logic Controller areThickener: Two
types of thickeners (Sodium alginate) and Thickener 2 (Gum Indalca), Colour: Three types of colour
are used namely Red, Blue and Golden Yellow. GSM: Three types of GSM values are as Low value
GSM, Medium Value GSM and High Value GSM.Viscosity: Viscosity it is measured in percentage
and classified as 4%, 5%, 6%, 7% for each GSM value.No of strokes: Four types of strokes are used
1,2,3,4 for each GSM Value.Some Membership functions for all input variables are shown in Fig.2
to Fig.5.

31
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

Fig.2:Membership function for the input Viscosity

Fig.3: Membership function for the input No. of Strokes

Fig.4: Membership function for the input Viscosity

Fig.5: Membership function for the output Colour Strength Value
The Linguistics terms used for input membership functions are as follows GSM_ Low,
GSM_ Medium, GSM_ High, Visc_ Low, Visc_ Medium,Visc_ Medium Low , Visc_ Medium
high, Visc_ High, Stroke_ Low, Stroke_ Medium Low, Stroke_ Medium High, Stroke_ High.
One If- Then Rules of the Rule Base used for the design of the Fuzzy Logic Controller isas
follows:
IF (GSM is GSM_Low) and (Viscosity is visc_low) and (Stroke is stroke_low) then (ColourStrength
is ColourStrength_69_792)(Reflectance is Reflectance_8_354)(L is L_37_166)(a is a_-1_234)(b is
b_-8_053)(C is C_8_147)(H is H_261_255)
5.2. FIS System
Today Fuzzy Inference System (FIS) is mostlyused for automatic control modeling.
Mamdani’s fuzzy inference method is the most popular.There are five parts of the fuzzy inference
process first is fuzzification of the input variables, second is application of the AND operator to the
antecedent, Third is implication from the antecedent to the consequent, Fourth is aggregation of the
consequents and fifth is defuzzification.[10,12]
32
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

6. SIMULINK MODEL OF SYSTEM AND SIMULATION RESULT
Fuzzy Logic Controller models for three colours means Blue Red and Golden Yellow and for
thickener 1 is shown in Fig.6 to Fig.8.
These Fuzzy Logic Controller blocks contain a bus selector block which Select signals from
incoming bus. The Mux block combines its inputs into a single vector output. An input can be a
scalar or vector signal. All inputs must be of the same data type and numeric type. Output blocks in
a subsystem represent outputs from the subsystem.

Fig.6:Fuzzy Logic Controller for Blue colour and Thickener 1

Fig.7:Fuzzy Logic Controller for Red colour and Thickener 1

Fig.8: Fuzzy Logic Controller for Golden yellow colour and Thickener 1
Some output parameter values for K/S Ratio,Reflectance, L, a, b, c and H for different
Thickeners, colours, GSM Value,Viscosity and No. of Strokes are shown in Fig.9.

33
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

Fig.9: Output parameter values for input parameter Thickener 1, Colour Red, GSM 1, Viscosity 4%,
No. of Strokes 3
The values of FLC are more accurate than the CCM system and time required displaying
parameter values are also reduced to millisecond as CCM uses in seconds. Some FLC readings for
blue colour are given in tabular format in Table 1 and Table 2.

Table 1: FLS System Readings of Thickener 2(Gum Indalca) and Blue colour
Thickener 2(Gum Indalca) (Input)
BLUE colour(Input)
GSM

Viscosity
in percent
(%)

In gram

No. of
strokes

(Input)

(Input)

127.328042

1
1

5%

198.2

3.25

164.569190

1

4%

211.4

2.878

1

5%

252.2

2.622

22.06

(Input)
4%

(K/S
ratio)
(Output)

Reflectance

L

a

b

C

H

(Output)

(Output)

(Output)

(Output)

(Output)

(Output)

158.2

3.668

25.67

0.4577

-11.32

11.33

272.4

25.56

1.372

-8.718

8.828

279

22.06

0.848

-9.81

9.848

275

1.254

-7.66

7.763

279.3

Table 2: FLS System Readings of Thickener 2(Gum Indalca) and Golden Yellow colour
Thickener 2(Gum Indalka) (Input)
GOLDEN YELLOW colour(Input)

GSM
In gram

No. of
strokes

(Input)

(Input)

Viscosity
in
percent
(%)

(K/S
ratio)
(Output)

Reflectance

L

a

b

C

H

(Output)

(Output)

(Output)

(Output)

(Output)

(Output)

(Input)

164.569190

1

4%

29.2

11.5

65.5

26.37

40.88

48.65

57.15

1

127.328042

5%

30.45

11.15

67.63

33.05

44.8

55.67

53.56

1

4%

33.42

10.38

63.08

24.34

40.03

46.85

58.68

1

5%

38.61

9.399

64.98

32.77

43.34

54.34

52.88

34
International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 –
6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME

7. CONCLUSION
The conventional colour strength measurement methods linear and theirconstruction is based
on linear system theory. Hence they require complex calculations for evaluating each parameter. The
Fuzzy Logic Control system is satisfactory, in relation to parameter variations while achieving the
accurate results. It has ability to handle system nonlinearities.Fuzzy logic provides a certain level of
artificial intelligence to the controllers since theytry to reproduce the human thought process. This
facility is not available in the conventional methods.
REFERENCES
[1]

[2]

[3]

[4]
[5]

[6]

[7]
[8]
[9]
[10]
[11]
[12]
[13]

[14]

[15]

Tsoutseos, A., A., Nobbs, J. H.: “Alternative Approach to Colour Appearance of Textile
Materials with Application to the Wet/Dry Reflectance Prediction”, Textile Chemists and
Colourists& American Dyestuff Reporter, Vol. 32, No. 6, ISSN 0040-490X, pp. 38 – 43, 2000.
Martinia Ira Glogar; DurdicaParac-osterman&DarkoGrundler:”Comparison of Kubelka Munk
theory and fuzzy logic in colour matching”,3rd International Textile, Clothing & Design
Conference,2006.
Mohammad H. Faze1 Zarandi and M. Esmaeilian, “A Systematic Fuzzy Modeling for Scheduling
of Textile Manufacturing System”, Fuzzy Information Processing Society, NAFIPS 2003.
22ndInternational Conference of the North American, 359-364, 2003.
Mourad, S.; Emmel, P.; Simon, K.: “Extending Kubelka – Munks Theory with Lateral Light
Scattering”, International Conference on Digital Printing Technologies, Florida, USA,2001.
Shamey, M. R.; Nobbs, J. H.: “The Use of Colourimetry in the Control of Dyeing Processes”,
Textile Chemists and Colourists& American Dyestuff Reporter, Vol. 32, No. 6, ISSN 0040490X.,(2000).
H. Tavanai, S.M. Taheri, and M. Nasiri, “Modeling of Colour Yield in Polyethylene
Terphethalate Dyeing with Statistical and Fuzzy Regression”, Iranian Polymer Journal, 14: 954968, 2005.
B. Smith, J. Lu, “Improving Computer Control of Batch Dyeing Operations”, American Dyestuff
Reporter, 82(9): 11, 1993.
Soo J. Kim, Eun Y. Kim, K. Jeong and Jee I. Kim, “Emotion-Based Textile Indexing Using
Colours”, Texture and Patterns, Advances in Visual Computing, 4292:9-18, 2006.
Y. Guifen, G. Jiansheng, Z. Yongyuan, “Predicting the Warp Breakage Rate in Weaving by
Neural Network Techniques”, Textile Research Journal, 75: 274-278, 2005.
“Fuzzy Inference Systems reference manual for MATLAB/SIMULINK® version” 2009a.
Zadeh, L.A. (1965). "Fuzzy sets", Information and Control” 8 (3): 338–353.
MATLAB/SIMULINK® version 2009a, The Math Works Inc., USA.
Syed Abdul Moiz and Ahmed M. Nahhas, “Temperature Dependent Electrical Response of
Orange-Dye Complex Based Schottky Diode”, International Journal of Electronics and
Communication Engineering & Technology (IJECET), Volume 4, Issue 2, 2013,
pp. 269 - 279, ISSN Print: 0976- 6464, ISSN Online: 0976 –6472.
Kh. EL-Nagar and Mamdouh Halawa, “Effect of Mordant Types on Electrical Measurements of
Cotton Fabric Dyed with Onion Scale Natural Dye”, International Journal of Electrical
Engineering & Technology (IJEET), Volume 3, Issue 2, 2012, pp. 192 - 203, ISSN Print : 09766545, ISSN Online: 0976-6553.
B. J. Agarwal, “Eco-Friendly Dyeing of Viscose Fabric with Reactive Dyes”, International
Journal of Advanced Research in Engineering & Technology (IJARET), Volume 1, Issue 1, 2010,
pp. 25 - 37, ISSN Print: 0976-6480, ISSN Online: 0976-6499.

35

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  • 1. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – INTERNATIONAL JOURNAL OF ELECTRONICS AND 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME COMMUNICATION ENGINEERING & TECHNOLOGY (IJECET) ISSN 0976 – 6464(Print) ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December, 2013, pp. 29-35 © IAEME: www.iaeme.com/ijecet.asp Journal Impact Factor (2013): 5.8896 (Calculated by GISI) www.jifactor.com IJECET ©IAEME A SIMULATION OF COLOUR STRENGTH MEASUREMENT SYSTEM FOR PRINTED FABRIC USING FUZZY LOGIC Miss. Snehal S. Mule1, Prof. (Dr.) Shrinivas A. Patil2, Prof. (Dr.) S.K.Chinta3 1 (Department of Electronics Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji, India 2 (Department of Electronics Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji, India 3 (Department of Textile Engineering, DKTE’s, Textile & Engineering Institute, Ichalakaranji, India ABSTRACT This paper presents a Fuzzy Logic Controller (FLC) system for textile Industry. This work describes a method for implementation of a rule-based fuzzy logic controller applied to a Colour strength measurement of printed fabric. The designed Fuzzy Logic Controller’s performance is and compared with conventional CCM (Computer Colour matching). In textile quality printing is very important and it depends on parameters like K/S Ratio, Reflectance, L, a, b, c, H.For measurement of colour strength, samples of three colours red, blue and golden yellow with two thickeners for each are taken and the control architecture is developed which includes some rules. These rules show a good relationship between three inputs and an all outputs.The proposed system has been simulated in MATLAB/SIMULINK. The controller has then been tuned by trial and error method and simulations have been run using the tuned controller. Keywords: Computer Colour matching (CCM), Fuzzy Logic Controller (FLC), K/S Ratio, Reflectance, MATLAB/SIMULINK 1. INTRODUCTION Textile industry is most essential part of our society. In Textile industryColour strength (K/S value) is most important parameter to test the quality measurement of a sample in terms of depth of the Colour printed fabric. The conventional method of Colour strength (K/S value) measurement is CCM (computer Colour matching). The Colour strength of printed fabric samples is measured with variation in thickeners versus printing conditions such as fabric GSM (grams per square-meter), number of strokes and viscosity in printing process. K/S value, Reflectance, L, a, b, C, h parameters 29
  • 2. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME are related to the colour strength of printed fabric, also these parameters can be measured by using CCM (Computer colour matching) system.[1]-[4] In this system the Colour strength is measured by using Kubelka-Munk theory and the Colour strength is defined as a function of fabric GSM (grams per square-meter), number of strokes and viscosity. The restrictions of Kubelka–Munk theory is the actual theory does not deal with all parameters of printed fabric, its response is affected by working conditions and it depends on mathematical model therefore its complexity increases as parameters increased.[5,6] Hence the conventional methodshave difficulties like Dependence on the accuracy of the mathematical model of the system, Expected performance not being met due to the disturbance, thermal deviations in room, Shows good performance only at one operating condition. To minimize thesedifficulties of conventional CCM system, fuzzy control has been implemented which is mostly used for complex system where accurate mathematical models cannot give the satisfactory results.A fuzzy logic controller alsomakes good performance in terms of stability, precision, reliability and rapidity achievable. This paper is organized into seven sections. In section 2 the characteristics of CCM, its operation is presented. In section 3 Fuzzy Logic Controller is described in Brief. In section 4 Functional block diagram of system is described in detail.In section 5 design of FLC is explained. In section 6 Simulation model and simulation results are discussed. In section 7 the conclusions are defined. 2. INTRODUCTION OF COMPUTER COLOUR MATCHING (CCM) SYSTEM The working procedure of CCMS which is used in dyeing lab to match the shade of the products. Generally buyer gives a fabric sample swatch or Panton number of a specific shade to the producer. Producer gives the fabric sample to lab dip development department to match the shade of the fabric. After getting the sample they analyze the colour of the sample manually. On the other hand they can take help from computer colour matching system. At first it needs to fit the sample to the spectrophotometer which analyzes the depth of the shade and it shows the results of the Colour depth. At the same time it needs to determine the Colour combination by which you want to dye the fabric. Then it will generate some dyeing recipe which is nearly same. After formation of dyeing recipe it needs to dye the sample with stock solution. Then sample should dye according to the dyeing procedure.[6]-][9] After finishing the sample dyeing it needs to compare the dyed sample with the buyer sample. For this reason dyed sample are entered to the spectrophotometer to compare the sample with the buyer sample. 3. FUZZY LOGIC CONTROLLER (FLC) SYSTEM Fuzzy logicis wonderful solution to non-linear systems because it is closer to the real world. Non-linearity is handled by rules, membership functions, and the inference process which results in improved performance, simpler implementation, and reduced design cost. With a fuzzy logic design some time consuming steps are eliminated. During the debugging and tuning cycle you can change your system by simply modifying rules, instead of redesigning the controller. In addition, since fuzzy is rule based, you do not need to be an expert in a high or low level language which helps you focus more on your application instead of programming. [10] Therefore Fuzzy Logic substantially reduces the overall development cycle. 30
  • 3. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME 4. BLOCK DIAGRAM OF FLC SYSTEM The Functional system of FLC for Colour strength measurement of printed fabric by using fuzzy system is shown in Fig.1. Fig.1: Functional block diagram of FLC As shown in Fig.1. Thickener, Colour, GSM, Viscosity and No. of Strokes are the input variables of fabric Samples. Here total two types of thickeners of samples are taken viz. thickener (Sodium alginate) and thckener2 (Gum indalca) and three different types of colours are selected viz. Blue, Red and Golden Yellow means total six types samples are taken. Another three input parameters are used for each sample. These are GSM value Viscosity and No. of Strokes. In this GSM have four values like GSM1, GSM2. Viscosity has four values and four types of strokes are used. All these input values are crisp values and given to the FLC Controller block. The inference system then processes these fuzzy inputsusing the fuzzy control rules and the database, which are defined by the programmer based onthe chosen membership function and fuzzy rule table, to give an output fuzzy variable. The fuzzyoutput thus obtained is defuzzified by the defuzzifier to give a crisp value, which are given to multi-port block this block Choose between multiple block inputs. Total six parameters are selected in this system these are K/S ratio, Reflectance, a, b, C and H. these are displayed on Display block. FLC is developed in FIS editor. The FIS program thus generatedis to be fed to the FLC before proceeding with the simulation. 5. DESIGN OF FUZZY LOGIC CONTROLLER 5.1. Membership Function Design The designed input membership functionsfor Fuzzy Logic Controller areThickener: Two types of thickeners (Sodium alginate) and Thickener 2 (Gum Indalca), Colour: Three types of colour are used namely Red, Blue and Golden Yellow. GSM: Three types of GSM values are as Low value GSM, Medium Value GSM and High Value GSM.Viscosity: Viscosity it is measured in percentage and classified as 4%, 5%, 6%, 7% for each GSM value.No of strokes: Four types of strokes are used 1,2,3,4 for each GSM Value.Some Membership functions for all input variables are shown in Fig.2 to Fig.5. 31
  • 4. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME Fig.2:Membership function for the input Viscosity Fig.3: Membership function for the input No. of Strokes Fig.4: Membership function for the input Viscosity Fig.5: Membership function for the output Colour Strength Value The Linguistics terms used for input membership functions are as follows GSM_ Low, GSM_ Medium, GSM_ High, Visc_ Low, Visc_ Medium,Visc_ Medium Low , Visc_ Medium high, Visc_ High, Stroke_ Low, Stroke_ Medium Low, Stroke_ Medium High, Stroke_ High. One If- Then Rules of the Rule Base used for the design of the Fuzzy Logic Controller isas follows: IF (GSM is GSM_Low) and (Viscosity is visc_low) and (Stroke is stroke_low) then (ColourStrength is ColourStrength_69_792)(Reflectance is Reflectance_8_354)(L is L_37_166)(a is a_-1_234)(b is b_-8_053)(C is C_8_147)(H is H_261_255) 5.2. FIS System Today Fuzzy Inference System (FIS) is mostlyused for automatic control modeling. Mamdani’s fuzzy inference method is the most popular.There are five parts of the fuzzy inference process first is fuzzification of the input variables, second is application of the AND operator to the antecedent, Third is implication from the antecedent to the consequent, Fourth is aggregation of the consequents and fifth is defuzzification.[10,12] 32
  • 5. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME 6. SIMULINK MODEL OF SYSTEM AND SIMULATION RESULT Fuzzy Logic Controller models for three colours means Blue Red and Golden Yellow and for thickener 1 is shown in Fig.6 to Fig.8. These Fuzzy Logic Controller blocks contain a bus selector block which Select signals from incoming bus. The Mux block combines its inputs into a single vector output. An input can be a scalar or vector signal. All inputs must be of the same data type and numeric type. Output blocks in a subsystem represent outputs from the subsystem. Fig.6:Fuzzy Logic Controller for Blue colour and Thickener 1 Fig.7:Fuzzy Logic Controller for Red colour and Thickener 1 Fig.8: Fuzzy Logic Controller for Golden yellow colour and Thickener 1 Some output parameter values for K/S Ratio,Reflectance, L, a, b, c and H for different Thickeners, colours, GSM Value,Viscosity and No. of Strokes are shown in Fig.9. 33
  • 6. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME Fig.9: Output parameter values for input parameter Thickener 1, Colour Red, GSM 1, Viscosity 4%, No. of Strokes 3 The values of FLC are more accurate than the CCM system and time required displaying parameter values are also reduced to millisecond as CCM uses in seconds. Some FLC readings for blue colour are given in tabular format in Table 1 and Table 2. Table 1: FLS System Readings of Thickener 2(Gum Indalca) and Blue colour Thickener 2(Gum Indalca) (Input) BLUE colour(Input) GSM Viscosity in percent (%) In gram No. of strokes (Input) (Input) 127.328042 1 1 5% 198.2 3.25 164.569190 1 4% 211.4 2.878 1 5% 252.2 2.622 22.06 (Input) 4% (K/S ratio) (Output) Reflectance L a b C H (Output) (Output) (Output) (Output) (Output) (Output) 158.2 3.668 25.67 0.4577 -11.32 11.33 272.4 25.56 1.372 -8.718 8.828 279 22.06 0.848 -9.81 9.848 275 1.254 -7.66 7.763 279.3 Table 2: FLS System Readings of Thickener 2(Gum Indalca) and Golden Yellow colour Thickener 2(Gum Indalka) (Input) GOLDEN YELLOW colour(Input) GSM In gram No. of strokes (Input) (Input) Viscosity in percent (%) (K/S ratio) (Output) Reflectance L a b C H (Output) (Output) (Output) (Output) (Output) (Output) (Input) 164.569190 1 4% 29.2 11.5 65.5 26.37 40.88 48.65 57.15 1 127.328042 5% 30.45 11.15 67.63 33.05 44.8 55.67 53.56 1 4% 33.42 10.38 63.08 24.34 40.03 46.85 58.68 1 5% 38.61 9.399 64.98 32.77 43.34 54.34 52.88 34
  • 7. International Journal of Electronics and Communication Engineering & Technology (IJECET), ISSN 0976 – 6464(Print), ISSN 0976 – 6472(Online) Volume 4, Issue 6, November-December (2013), © IAEME 7. CONCLUSION The conventional colour strength measurement methods linear and theirconstruction is based on linear system theory. Hence they require complex calculations for evaluating each parameter. The Fuzzy Logic Control system is satisfactory, in relation to parameter variations while achieving the accurate results. It has ability to handle system nonlinearities.Fuzzy logic provides a certain level of artificial intelligence to the controllers since theytry to reproduce the human thought process. This facility is not available in the conventional methods. REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] Tsoutseos, A., A., Nobbs, J. H.: “Alternative Approach to Colour Appearance of Textile Materials with Application to the Wet/Dry Reflectance Prediction”, Textile Chemists and Colourists& American Dyestuff Reporter, Vol. 32, No. 6, ISSN 0040-490X, pp. 38 – 43, 2000. Martinia Ira Glogar; DurdicaParac-osterman&DarkoGrundler:”Comparison of Kubelka Munk theory and fuzzy logic in colour matching”,3rd International Textile, Clothing & Design Conference,2006. Mohammad H. Faze1 Zarandi and M. Esmaeilian, “A Systematic Fuzzy Modeling for Scheduling of Textile Manufacturing System”, Fuzzy Information Processing Society, NAFIPS 2003. 22ndInternational Conference of the North American, 359-364, 2003. Mourad, S.; Emmel, P.; Simon, K.: “Extending Kubelka – Munks Theory with Lateral Light Scattering”, International Conference on Digital Printing Technologies, Florida, USA,2001. Shamey, M. R.; Nobbs, J. H.: “The Use of Colourimetry in the Control of Dyeing Processes”, Textile Chemists and Colourists& American Dyestuff Reporter, Vol. 32, No. 6, ISSN 0040490X.,(2000). H. Tavanai, S.M. Taheri, and M. Nasiri, “Modeling of Colour Yield in Polyethylene Terphethalate Dyeing with Statistical and Fuzzy Regression”, Iranian Polymer Journal, 14: 954968, 2005. B. Smith, J. Lu, “Improving Computer Control of Batch Dyeing Operations”, American Dyestuff Reporter, 82(9): 11, 1993. Soo J. Kim, Eun Y. Kim, K. Jeong and Jee I. Kim, “Emotion-Based Textile Indexing Using Colours”, Texture and Patterns, Advances in Visual Computing, 4292:9-18, 2006. Y. Guifen, G. Jiansheng, Z. Yongyuan, “Predicting the Warp Breakage Rate in Weaving by Neural Network Techniques”, Textile Research Journal, 75: 274-278, 2005. “Fuzzy Inference Systems reference manual for MATLAB/SIMULINK® version” 2009a. Zadeh, L.A. (1965). "Fuzzy sets", Information and Control” 8 (3): 338–353. MATLAB/SIMULINK® version 2009a, The Math Works Inc., USA. Syed Abdul Moiz and Ahmed M. Nahhas, “Temperature Dependent Electrical Response of Orange-Dye Complex Based Schottky Diode”, International Journal of Electronics and Communication Engineering & Technology (IJECET), Volume 4, Issue 2, 2013, pp. 269 - 279, ISSN Print: 0976- 6464, ISSN Online: 0976 –6472. Kh. EL-Nagar and Mamdouh Halawa, “Effect of Mordant Types on Electrical Measurements of Cotton Fabric Dyed with Onion Scale Natural Dye”, International Journal of Electrical Engineering & Technology (IJEET), Volume 3, Issue 2, 2012, pp. 192 - 203, ISSN Print : 09766545, ISSN Online: 0976-6553. B. J. Agarwal, “Eco-Friendly Dyeing of Viscose Fabric with Reactive Dyes”, International Journal of Advanced Research in Engineering & Technology (IJARET), Volume 1, Issue 1, 2010, pp. 25 - 37, ISSN Print: 0976-6480, ISSN Online: 0976-6499. 35