PAPERmaking! Vol11 Nr1 2025

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G P ( S ) G st ( S )

Optimization Techniques

Jellyfish swarm optimization 0.8 Elephant herding optimization 1.123

1.053 1.781

Moth flame optimization Ant lion optimization

3.532 3.819

2.61 2.98

Table 2 . Performance comparison of complementary sensitivity function with optimal methods.

Parameters

PID PI

FOPID

IAE ISE

0.8397 0.8156 0.9076 0.1743 0.1735 0.1772 0.9027 0.7681 0.9382 0.03 0.055 0.011

ITAE

Rise time (sec)

Overshoot time (sec) 0.8

0.46 -

Settling time (sec)

1.01 4.02 0.5

Table 3 . Analysis parameters of the various controllers.

could further enhance the controller’s performance. Additionally, implementing the JSO-FOPID controller in real-time scenarios would provide valuable insights into its practical viability and resilience under real-world disturbances and uncertainties. Developing adaptive versions of the JSO-FOPID controller to handle evolving system dynamics in real-time could also be a promising area of exploration. These recommendations aim to build upon the current findings, ensuring that the JSO-FOPID controller continues to evolve as a cutting-edge solution for complex control systems.

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(2025) 15:1631

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