Research Article
Fractional-Order Predictive Functional Control of Industrial Processes with Partial Actuator Failures
Table 5
The results of control performance obtained by FOPFC and PFC in Simulation 3.
| ā | Case | Algorithm | IAE | ITAE | Md | Ess |
| Three constant faults | Case 1 | FOPFC | 167.798 | 52.217 | 2.098 | 0.0252 | GA-FOPFC | 178.770 | 53.465 | 0.326 | 0.0436 | PSO-FOPFC | 167.457 | 49.645 | 0.438 | 0.0248 | PEO-FOPFC | 143.502 | 42.159 | 0.129 | 0.0152 | Case 2 | FOPFC | 204.480 | 67.094 | 3.018 | 0.0708 | GA-FOPFC | 205.666 | 64.234 | 1.201 | 0.0360 | PSO-FOPFC | 193.774 | 60.013 | 1.004 | 0.0261 | PEO-FOPFC | 163.051 | 49.112 | 0.938 | 0.0207 | Case 3 | FOPFC | 231.065 | 78.484 | 3.312 | 0.0162 | GA-FOPFC | 227.807 | 73.855 | 1.719 | 0.0155 | PSO-FOPFC | 215.677 | 69.338 | 1.857 | 0.0221 | PEO-FOPFC | 181.602 | 56.049 | 1.511 | 0.0180 |
| Three time-varying faults | Case 4 | FOPFC | 180.799 | 56.268 | 2.381 | 0.0266 | GA-FOPFC | 179.445 | 55.383 | 0.601 | 0.0360 | PSO-FOPFC | 171.842 | 51.918 | 0.622 | 0.0360 | PEO-FOPFC | 154.261 | 46.632 | 0.691 | 0.0252 | Case 5 | FOPFC | 213.976 | 69.688 | 2.981 | 0.0675 | GA-FOPFC | 207.156 | 65.122 | 1.309 | 0.0884 | PSO-FOPFC | 196.743 | 61.116 | 1.415 | 0.0316 | PEO-FOPFC | 178.013 | 55.044 | 1.587 | 0.0220 | Case 6 | FOPFC | 267.114 | 94.254 | 4.270 | 0.5764 | GA-FOPFC | 264.112 | 90.721 | 2.291 | 0.1552 | PSO-FOPFC | 249.106 | 84.295 | 2.591 | 0.0306 | PEO-FOPFC | 213.876 | 69.374 | 2.377 | 0.0429 |
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