Open AccessDecentralised H ∞ fuzzy filter for non‐linear large‐scale systems under imperfect premise matching
Author(s) -
Kim Ho Jun,
Park Jin Bae,
Joo Young Hoon
Publication year - 2015
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.2015.0602
Subject(s) - control theory (sociology) , filter (signal processing) , fuzzy logic , mathematics , filter design , fuzzy control system , linear matrix inequality , imperfect , mathematical optimization , linear system , fuzzy number , computer science , fuzzy set , artificial intelligence , linguistics , philosophy , control (management) , computer vision , mathematical analysis
This study presents a decentralised H ∞ filter design problem for non‐linear large‐scale systems that are represented based on the Takagi–Sugeno fuzzy model. To enhance the design flexibility of the fuzzy filter for non‐linear large‐scale systems, the imperfect premise matching problem is adopted in the filter design procedure. In the sense of fuzzy Lyapunov, sufficient conditions for both asymptotic stability of the error system and a prescribed level of the H ∞ norm are ensured to guarantee the H ∞ fuzzy filter performance. The sufficient conditions are formulated in terms of linear matrix inequalities, which can be solved efficiently using convex optimisation algorithms. Finally, simulation examples are provided to verify the feasibility of the proposed approach.