Research Article

Performance Analysis of Extracted Rule-Base Multivariable Type-2 Self-Organizing Fuzzy Logic Controller Applied to Anesthesia

Table 5

Mean and standard deviation of steady state errors and control stabilities of type-1/interval type-2/zSlice general type-2 SOFLC using extracted rule-base with results of Wilcoxon signed-rank test.

Controller performanceNoise strengthTypeStage-1 MRStage-1 BPStage-2 MRStage-2 BP

Steady state errors0.110.0181 (±) 0.0092*1.6288 (±) 1.5593*0.0515 (±) 0.02962.5869 (±) 2.5605*
Interval0.0069 (±) 0.0012*0.0919 (±) 0.00870.0066 (±) 0.0005*0.1292 (±) 0.0045*
General0.0018 (±) 0.00080.1268 (±) 0.0106*0.0056 (±) 0.00070.0416 (±) 0.0062*
0.210.0154 (±) 0.01222.1513 (±) 1.4063*0.0730 (±) 0.0032*4.5476 (±) 0.2598*
Interval0.0052 (±) 0.00220.1452 (±) 0.01460.0044 (±) 0.0009*0.0839 (±) 0.0100*
General0.0045 (±) 0.00130.0677 (±) 0.0842*0.0079 (±) 0.00120.0433 (±) 0.0159

Control stabilities0.110.0239 (±) 0.00770.6005 (±) 0.3110*0.0147 (±) 0.00140.5133 (±) 0.0462
Interval0.0083 (±) 0.00070.0046 (±) 0.00040.0078 (±) 0.00060.0043 (±) 0.0003
General0.0099 (±) 0.00110.0052 (±) 0.00090.0099 (±) 0.00050.0059 (±) 0.0006
0.210.0237 (±) 0.0079*0.9731 (±) 0.5516*0.0171 (±) 0.00091.0247 (±) 0.0833
Interval0.0134 (±) 0.00120.0094 (±) 0.00130.0126 (±) 0.00110.0083 (±) 0.0011
General0.0170 (±) 0.00420.0187 (±) 0.01830.0148 (±) 0.00110.0130 (±) 0.0020

Reject hypothesis: extracted rule-base is better than expert derived rule-base.