Open AccessH ∞ fuzzy PID control synthesis for Takagi–Sugeno fuzzy systems
Author(s) -
Cao Kairui,
Gao Xiaozhi,
Lam HakKeung,
Vasilakos Athanasios
Publication year - 2016
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.2015.0513
Subject(s) - control theory (sociology) , pid controller , fuzzy logic , fuzzy control system , mathematics , defuzzification , fuzzy number , controller (irrigation) , fuzzy set operations , computer science , control engineering , fuzzy set , control (management) , artificial intelligence , engineering , temperature control , agronomy , biology
This study proposes a kind of H ∞ fuzzy proportional–integral–derivative (PID) control synthesis method for Takagi–Sugeno (T–S) fuzzy systems. The basic idea of the presented method is to transform the fuzzy PID controller design problem into that of the fuzzy static output feedback (SOF) controller design. On the basis of an iterative linear matrix inequality algorithm, the fuzzy SOF control laws can be obtained. After that, the fuzzy PID controller is recovered from the fuzzy SOF controller. Simulation examples are given to show the effectiveness of the proposed method.