Fig 1.
Block diagram of the electric furnace temperature control system.
Fig 2.
Block diagram of 2-DOF PIDA controller.
Fig 3.
Block diagram of the GCRA-based 2DOF PIDA controlled electric furnace system.
Fig 4.
Obtained best objective function values with respect to number of runs.
Fig 5.
Boxplot analysis showing the distribution of objective function values with respect to number of runs.
Table 1.
Statistical performance evaluation of algorithms and p-values obtained from Wilcoxon’s test.
Fig 6.
Best convergence curves of the algorithms with respect to iteration number.
Table 2.
Adopted parameter ranges and the obtained best parameters via different algorithms.
Fig 7.
Transient response of different algorithms-based 2-DOF PIDA controllers.
Fig 8.
Zoomed view of Fig 7.
Fig 9.
Steady-state response of different algorithms based 2-DOF PIDA controllers.
Table 3.
Time domain performance metrics of different algorithms based 2-DOF PIDA controllers.
Fig 10.
Comparative transient response analysis with respect to reported approaches….
Fig 11.
Zoomed view of Fig 10.
Table 4.
Comparative time response metrics analysis with respect to reported approaches.
Fig 12.
Comparative steady-state response analysis with respect to reported approaches.
Fig 13.
Input tracking performance analysis of the proposed approach.
Fig 14.
Variable input tracking performance analysis of the proposed approach.
Fig 15.
External disturbance and the measurement noise considered in this study.
Fig 16.
Performance of the proposed approach with respect to external disturbances and measurement noises.