Open AccessDynamic output feedback controller design for interval type‐2 T–S fuzzy fractional order systems
Author(s) -
Zhang Xuefeng,
Jin Kaijing
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2020.0221
Subject(s) - control theory (sociology) , mathematics , controller (irrigation) , interval (graph theory) , linear matrix inequality , fuzzy logic , type (biology) , fuzzy control system , convex optimization , stability (learning theory) , order (exchange) , matrix (chemical analysis) , regular polygon , mathematical optimization , computer science , control (management) , ecology , materials science , geometry , finance , combinatorics , artificial intelligence , machine learning , agronomy , economics , composite material , biology
This study discusses the issue of the stabilisation of interval type‐2 Takagi–Sugeno (T–S) fuzzy fractional order systems by designing the dynamic output feedback controller. In the system model, the system matrix has no assuming limitations. Different membership functions are attached to the T–S fuzzy model and fuzzy controller. For fractional order of 0 < α < 1 case, sufficient conditions in terms of strict linear matrix inequalities are addressed. Then, for 1 < α < 2 order case, by some contragradient transformations, sufficient stability conditions in terms of convex optimisation problems are derived. All of the proposed theorems are strict linear matrix inequalities and can be solved in standard software. Finally, two numerical simulation examples are given to illustrate the effectiveness of the proposed method.