MATHEMATICAL MODELING OF FRACTIONAL-ORDER PID (FOPID) CONTROLLERS

Authors

  • Sodiqov Baxtiyor Qahhor ugli Senior teacher of department of Automation and Control of NSUMT

Keywords:

FOPID, fractional calculus, PIλDμ controller, mathematical modeling, robust control.

Abstract

Fractional-Order PID (FOPID) controllers extend classical PID structures by introducing two additional parameters, the fractional integral order (λ) and the fractional derivative order (μ). These degrees of freedom improve robustness, tuning flexibility, and performance in systems with nonlinearities, delays, or uncertainties. This paper presents the mathematical model of the FOPID controller, its governing equations, and simulation-based insights.

References

Botirov, T., Sodiqov, B., Jumabaev, E., Salahiddinov, A., & Jurayeva, R. (2025). Design of a controller with an intelligent hybrid structure. In E3S Web of Conferences (Vol. 627, p. 04007). EDP Sciences..

Jumaev, O. A., Mahmudov, G. B., Rashidov, G. H., & Sodiqov, B. Q. (2023, September). Microcontroller device for increasing the accuracy of PID regulators. In AIP Conference Proceedings (Vol. 2872, No. 1, p. 120051). AIP Publishing LLC.

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Published

2025-10-04

How to Cite

Sodiqov Baxtiyor Qahhor ugli. (2025). MATHEMATICAL MODELING OF FRACTIONAL-ORDER PID (FOPID) CONTROLLERS. Ethiopian International Multidisciplinary Research Conferences, 31–32. Retrieved from https://eijmr.org/conferences/index.php/eimrc/article/view/1408

Issue

2025: Ethiopian International Multidisciplinary Research Conferences

Section

Articles

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