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H ∞ optimization‐based fractional‐order PID controllers design
Author(s) -
Padula F.,
Vilanova R.,
Visioli A.
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3041
Subject(s) - pid controller , control theory (sociology) , integer (computer science) , matching (statistics) , order (exchange) , controller (irrigation) , stability (learning theory) , mathematical optimization , fractional calculus , derivative (finance) , computer science , process (computing) , mathematics , control engineering , engineering , control (management) , temperature control , agronomy , statistics , finance , artificial intelligence , machine learning , financial economics , economics , biology , programming language , operating system
SUMMARY In this paper we propose a fractional‐order proportional‐integral‐derivative controller design based on the solution of anH ∞model matching problem for fractional first‐order‐plus‐dead‐time processes. Starting from the analytical solution of the problem, we show that a fractional proportional‐integral‐derivative suboptimal controller can be obtained. Guidelines for the tuning of the controller parameters are given in order to address the robust stability issue and to obtain the required performance. The main differences with respect to the integer‐order case are highlighted. Simulation results show that the design methodology is effective and allows the user to consider process with different dynamics in a unified framework. Copyright © 2013 John Wiley & Sons, Ltd.