Table 5 Performance indices of different controllers.
Controllers | \(\Delta f_{1}\) | \(\Delta f_{2}\) | \(\Delta f_{3}\) | ||||||
|---|---|---|---|---|---|---|---|---|---|
\(u_{s} \times 10^{ - 3}\) in Hz | \(o_{s} \times 10^{ - 3}\) in Hz | \(t_{s}\) in sec | \(u_{s} \times 10^{ - 3}\) in Hz | \(o_{s} \times 10^{ - 3}\) in Hz | \(t_{s}\) in sec | \(u_{s} \times 10^{ - 3}\) in Hz | \(o_{s} \times 10^{ - 3}\) in Hz | \(t_{s}\) in sec | |
GOA-FSMC | − 0.8616 | 0.0595 | 4.46 | − 0.2873 | 0.0572 | 0.14 | − 0.2906 | 0.0571 | 0.14 |
MGOA-FSMC | − 0.2210 | 0.0225 | 0.423 | − 0.0616 | 0.0225 | 7.90 | − 0.0615 | 0.0225 | 7.90 |
GOA-SMC | − 2.1529 | 0.6204 | 0.08 | − 1.7122 | 0.4969 | 12.23 | − 1.5653 | 0.4046 | 12.22 |
MGOA-SMC | − 1.0137 | 0.4684 | 7.81 | − 0.4299 | 0.1124 | 7.90 | − 0.4958 | 0.1124 | 7.90 |
GOA-FPID | − 3.8053 | 1.7832 | 12.13 | − 2.7884 | 1.7566 | 12.23 | − 2.5676 | 1.8108 | 12.22 |
MGOA-FPID | − 2.6367 | 1.2542 | 7.81 | − 2.0910 | 1.2563 | 7.90 | − 1.8156 | 1.2245 | 7.90 |
GOA-PID | − 3.7588 | 2.7272 | 3.72 | − 3.6894 | 2.4014 | 3.36 | − 3.9092 | 2.8893 | 3.94 |
MGOA-PID | − 3.4846 | 2.2785 | 3.25 | − 3.3349 | 2.2375 | 3.30 | − 3.5036 | 2.3072 | 3.40 |
