Performance Analysis of Extracted Rule-Base Multivariable Type-2 Self-Organizing Fuzzy Logic Controller Applied to Anesthesia
Table 4
Mean and standard deviation of steady state errors and control stabilities of type-1/interval type-2/zSlice general type-2 SOFLC with results of Wilcoxon signed-rank test.
Controller performance
Noise strength
Type
Stage-1 MR
Stage-1 BP
Stage-2 MR
Stage-2 BP
Steady state errors
0.1
1
0.0152 (±) 0.0095
1.3083 (±) 1.3780
0.0622 (±) 0.0229
3.2880 (±) 2.2323
Interval
0.0057 (±) 0.0013a
0.1003 (±) 0.0083a
0.0058 (±) 0.0010a
0.1160 (±) 0.0085a
General
0.0022 (±) 0.0007bc
0.1517 (±) 0.1277b
0.0062 (±) 0.0006b
0.0309 (±) 0.0206bc
0.2
1
0.0177 (±) 0.0096
2.4974 (±) 1.3428
0.0697 (±) 0.0143
4.1290 (±) 1.6087
Interval
0.0049 (±) 0.0019a
0.1673 (±) 0.0406a
0.0036 (±) 0.0014a
0.0559 (±) 0.0115a
General
0.0065 (±) 0.0017b
0.0253 (±) 0.0189bc
0.0098 (±) 0.0011b
0.0778 (±) 0.0180b
Control stabilities
0.1
1
0.0287 (±) 0.0094
0.6072 (±) 0.3510
0.0159 (±) 0.0005
0.6397 (±) 0.1502
Interval
0.0096 (±) 0.0009a
0.0055 (±) 0.0009a
0.0092 (±) 0.0009a
0.0052 (±) 0.0006a
General
0.0141 (±) 0.0077b
0.0221 (±) 0.0390b
0.0110 (±) 0.0012b
0.0071 (±) 0.0017b
0.2
1
0.0251 (±) 0.0089
0.8879 (±) 0.3405
0.0194 (±) 0.0036
1.1542 (±) 0.3877
Interval
0.0145 (±) 0.0019a
0.0104 (±) 0.0018a
0.0149 (±) 0.0018a
0.0115 (±) 0.0026a
General
0.0183 (±) 0.0021b
0.0190 (±) 0.0047b
0.0170 (±) 0.0013b
0.0167 (±) 0.0035b
Accept hypothesis: interval type-2 SOFLC is better than type-1 SOFLC.
bAccept hypothesis: zSlice general type-2 SOFLC is better than type-1 SOFLC.
cAccept hypothesis: zSlice general type-2 SOFLC is better than interval type-2 SOFLC.