International Journal of Academic Engineering Research (IJAER)

Title: Comparative Speed-Response Performance of Conventional PID and IMC-PID Control for a Three-Phase Induction Motor

Authors: D.O aborisade, O.A adegbola, I.G adebayo, A.S adekanmi, S.O oladeji, I olorunmaye

Volume: 10

Issue: 9

Pages: 202-211

Publication Date: 2026/09/28

Abstract:
This study compared the simulated speed responses of a three-phase induction motor operated without a speed-feedback controller, with a conventional proportional-integral-derivative (PID) controller, and with an internal model control based PID (IMC-PID) controller. A direct-quadrature reference-frame motor model was implemented in MATLAB/Simulink using the project's stated motor parameters and a reference speed of 1300 rpm. Performance was assessed through rise time, settling time and percentage overshoot, using the numerical results reported for each configuration. The uncontrolled case recorded a rise time of 1.7579 s and overshoot of 52.7846%; its settling time was not determined. Conventional PID control produced a rise time of 2.0910 s, settling time of 8.1010 s and overshoot of 2.2980%. The corresponding IMC-PID values were 0.5031 s, 1.1103 s and 0.8876%. Relative to conventional PID, IMC-PID reduced the reported rise time by 75.94%, settling time by 86.29% and overshoot by 61.38%. The individual response plots show a rapid approach to the final level under IMC-PID control and a large transient excursion without speed feedback. The results indicate that the IMC-PID arrangement achieved the most favourable combination of the three reported metrics under the nominal simulation conditions. Controller gains, the selected IMC filter value and underlying time-series data were unavailable for independent recalculation, while separate disturbance and parameter-variation tests were not reported. The findings therefore support a bounded comparison of the supplied simulations. Exporting the original response signals and documenting controller settings would enable reproducible assessment and further testing under defined operating changes

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