Optimized parameters to tune I-PD control through firefly algorithm for heating operations of plastic injection molding

Abstract

This research presents firefly algorithm optimization tuned integral plus proportional and derivative (I-PD) controller to control the temperature response model according to Tao Liu and Ke Yao and Furong Gao model. In order to achieve effective and efficient control, proportional integral and derivative (PID) controller is used to compare with I-PD controller through using Ziegler-Nichols Tuning (ZN), particle swam optimization (PSO), and fuzzy logic controller compared with firefly algorithm optimization for tuning. All controller designs are modeled in SIMULINK and empirical tests. From the results, it is practically observed that firefly algorithm tuned PID and I-PD controller outperforms other controllers named ZN, PSO controllers, and also fuzzy logic controller. In addition, firefly algorithm optimization method provides a good performance as overshoot reduction and settling. In conclusion, firefly algorithm is a suitable tuning method for temperature controller and can save settling time and reduce overshoots of input power.

Keywords

• firefly algorithm optimization
• integral plus proportional and derivative (i-pd) controller
• proportional integral and derivative (pid)
• ziegler-nichols tuning (zn)