Table 3 Optimized controller parameters
Controller parameters | GA-PI [8] | GWO:PI-PD [15] | MPC/PI [27] | MPC-(1 + PIDN) |
|---|---|---|---|---|
Area-1 | \({K}_{P}=-0.6130\) \({K}_{I}=-0.8010\) | \({K}_{P}=-2.823\) \({K}_{I}=-2.789\) \({K}_{P}=-3.084\) \({K}_{D}=-1.997\) | \({K}_{P}=0.12\) \({K}_{I}=0.81\) | \({K}_{P}=4.89\) \({K}_{I}=7.710\) \({K}_{D}=0.0148\) \(N=300\) |
Area-2 | \({K}_{P}=-0.6911\) \({K}_{I}=-0.7665\) | \({K}_{P}=-2.902\) \({K}_{I}=-3.627\) \({K}_{P}=-3.084\) \({K}_{D}=-0.982\) | \({K}_{P}=0.17\) \({K}_{I}=0.92\) | \({K}_{P}=7.310\) \({K}_{I}=12.927\) \({K}_{D}=0.102\) \(N=300\) |
Area-3 | \({K}_{P}=-0.6025\) \({K}_{I}=-0.7901\) | \({K}_{P}=-3.1240\) \({K}_{I}=-3.1121\) \({K}_{P}=-3.0401\) \({K}_{D}=-0.8012\) | \({K}_{P}=0.20\) \({K}_{I}=0.32\) | \({K}_{P}=2.267\) \({K}_{I}=6.126\) \({K}_{D}=0.0241\) \(N=300\) |
Area-4 | \({K}_{P}=-0.6611\) \({K}_{I}=-0.8021\) | \({K}_{P}=-2.8114\) \({K}_{I}=-3.6101\) \({K}_{P}=-2.1144\) \({K}_{D}=-1.1212\) | \({K}_{P}=0.11\) \({K}_{I}=0.41\) | \({K}_{P}=6.589\) \({K}_{I}=12.106\) \({K}_{D}=0.0015\) \(N=300\) |