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Transient stability and voltage regulation in the framework of the interval type‐2 fuzzy model‐based control systems
Author(s) -
Abbadi Amel,
Hamidia Fethia
Publication year - 2019
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22899
Subject(s) - control theory (sociology) , fuzzy logic , fuzzy control system , interval (graph theory) , controller (irrigation) , transient (computer programming) , stability (learning theory) , linear matrix inequality , nonlinear system , computer science , mathematics , mathematical optimization , control (management) , artificial intelligence , physics , combinatorics , quantum mechanics , machine learning , agronomy , biology , operating system
In this paper, the transient stability enhancement and voltage regulation of a multimachine power system are investigated taking into account the generator parameter uncertainties. An interval type‐2 Takagi–Sugeno (IT2 T‐S) fuzzy model is proposed to represent the nonlinear plant subject to parameter uncertainties. New basic concepts of the IT2 T‐S fuzzy model are proposed to reduce considerably the number of models adopted. A Lyapunov‐based approach is employed to analyze the stability and the pole placement of the IT2 fuzzy closed‐loop system formed by the IT‐2 T‐S fuzzy model and the IT‐2 fuzzy controller. This approach presents a simple closed mathematical form that provides the possibility to regulate the system under uncertain model parameters with closed‐loop design specifications as linear matrix inequality (LMI)‐based optimization problems without any assumptions about the membership functions. A simulation example is given to illustrate the effectiveness of the proposed IT‐2 fuzzy model‐based control approach. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.