Fuzzy pid based Temperature Control of Electric Furnace for Glass Tempering Process

LIST OF ABBREVIATIONS 
AAiT Addis Ababa Institute of Technology 
AAU Addis Ababa University 
AMIGO Approximate M-constrained integral gain Optimization 
CE Error rate/Change Error
E Error 
FLC Fuzzy Logic Controller 
FPID Fuzzy Proportional Integral derivative 
ITAE Integral Time Absolut Error 
NB Negative Big
NM Negative Medium
NS Negative Small 
PB Positive Big 
PID Proportional Integral derivative
PM Positive Medium 
PS Positive Small 
Z Zero 
 

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LIST OF TABLES 
Table Page 
Table 3. 1 Effects of independent P, I and D tuning on closed-loop response ...................................... 34 
Table 3. 2 ZN PID controller parameter for first order plus dead time model ..................................... 35 
Table 3. 3 Effect of Kp ,Ki and Kd in . Fine-tuning technique ............................................................... 36 
Table 3. 4 Cohen Coon PID controller parameter for first order plus dead time model ..................... 36 
Table 3. 5 ITAE PID controller parameter for first order plus dead time model ................................. 37 
Table 3. 6 Member ship function for error and error rate in temperature .......................................... 44 
Table 3. 7 Membership function universe of discourse of error and change of error in temperature
 .................................................................................................................................................................... 44 
Table 3. 8 Rule table for Δkp ..................................................................................................................... 45 
Table 3. 9 Rule table for Δki ...................................................................................................................... 45 
Table 3. 10 Rule table for Δkd .................................................................................................................. 46 
Table 3. 11 Membership function universe of discourse for Δkp and Δkd ........................................... 47 
Table 3. 12 Membership function universe of discourse for Δki ........................................................... 47 
Table 4. 1 summarizes of continuous and discrete PID controller step response ............................... 56 
Table 4. 2 Summarizes of PID controller step response with different tuning mechanism ................ 56 
Table 4. 3 Step response of FPID and PID ............................................................................................... 58 
Table 4. 4 Transient performance for ±50% delay time ........................................................................ 59 
Table 4. 5 Transient performance for ±50% Time constant .................................................................. 60 
Table 4. 6 Transient performance for ±50% DC gain ............................................................................. 61