Open AccessGuaranteed cost sampled‐data fuzzy control for non‐linear systems: a continuous‐time Lyapunov approach
Author(s) -
Koo Geun Bum,
Park Jin Bae,
Joo Young Hoon
Publication year - 2013
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.2013.0186
Subject(s) - control theory (sociology) , fuzzy control system , fuzzy logic , lyapunov function , mathematics , controller (irrigation) , stability (learning theory) , linear matrix inequality , mathematical optimization , stability conditions , computer science , control (management) , nonlinear system , discrete time and continuous time , artificial intelligence , statistics , physics , quantum mechanics , machine learning , agronomy , biology
This study presents a stability condition for a guaranteed cost sampled‐data fuzzy control problem of non‐linear systems. A Takagi–Sugeno (T–S) fuzzy model is adopted for the non‐linear system and the sampled‐data fuzzy controller is designed for a T–S fuzzy system. To develop the guaranteed cost control, a new stability condition of the closed‐loop system is guaranteed in the continuous‐time Lyapunov sense, and its sufficient conditions are formulated in terms of linear matrix inequalities. Based on the stability condition, the guaranteed cost control is considered and minimised for the closed‐loop system from the continuous‐time cost function. Finally, numerical examples are provided to verify the effectiveness of the proposed technique.