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Robust tuning and sensitivity analysis of stochastic integer and fractional‐order PID control systems: application of surrogate‐based robust simulation‐optimization
Author(s) -
Parnianifard Amir,
Fakhfakh Mourad,
Kotti Mouna,
Zemouche Ali,
Wuttisittikulkij Lunchakorn
Publication year - 2020
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2835
Subject(s) - robustness (evolution) , pid controller , mathematical optimization , computer science , surrogate model , sensitivity (control systems) , control theory (sociology) , robust control , robust optimization , mathematics , control system , engineering , temperature control , control engineering , control (management) , biochemistry , chemistry , electrical engineering , electronic engineering , artificial intelligence , gene
This paper aims to make a trade‐off between performance and robustness in stochastic control systems with probabilistic uncertainties. For this purpose, we develop a surrogate‐based robust simulation‐optimization approach for robust tuning and analyzing the sensitivity of stochastic controllers. Kriging surrogate is combined with robust design optimization to construct a robust simulation‐optimization model in the class of dual response surfaces. Randomness in simulation experiments due to uncertainty is analyzed through bootstrapping technique by computing confidence regions for the estimation of Pareto frontier. Results confirmed a proper trade‐off between the model's performance with the measure of expected Integral Squared Error (ISE) and robustness against uncertainty in the plant's physical parameters. Finally, the proposed method is evaluated in terms of accuracy, computational cost, and simplicity particularly in comparison with some common existed techniques in the tuning of the Proportional‐Integral‐Derivative (PID) and Fractional‐Order PID (FOPID) controllers.