Open AccessOPTIMAL TUNING OF FRACTIONAL ORDER CONTROLLER USING WOUND HEALING ALGORITHM BASED ON CLONAL SELECTION PRINCIPLE
Author(s) -
Mehmet Çınar,
AUTHOR_ID
Publication year - 2021
Publication title -
international journal of applied mathematics and machine learning
Language(s) - English
Resource type - Journals
ISSN - 2394-2258
DOI - 10.18642/ijamml_710012219
Subject(s) - pid controller , control theory (sociology) , settling time , robustness (evolution) , overshoot (microwave communication) , nonlinear system , fitness function , controller (irrigation) , computer science , open loop controller , step response , control engineering , mathematics , mathematical optimization , temperature control , genetic algorithm , engineering , control (management) , closed loop , artificial intelligence , physics , chemistry , biology , telecommunications , biochemistry , quantum mechanics , agronomy , gene
Fractional-order PID (FOPID) controller is a generalization of standard PID controller using fractional calculus. Compared to PID controller, the tuning of FOPID is more complex and remains a challenge problem. This paper focuses on the design of FOPID controller using wound healing algorithm (WHA) based on clonal selection principle. The tuning of FOPID controller is formulated as a nonlinear optimization problem, in which the objective function is composed of overshoot, steady-state error, raising time and settling time. WHA algorithm, a newly developed evolutionary algorithm inspired by human immune system, is used as the optimizer to search the best parameters of FOPID controller. The designed WHA-FOPID controller is applied to various systems. Numerous numerical simulations and comparisons with other FOPID/PID controllers show that the WHA-FOPID controller can not only ensure good control performance with respect to reference input but also improve the system robustness with respect to model uncertainties.