Open AccessMixed L − / L 1 fault detection filter design for fuzzy positive linear systems with time‐varying delays
Author(s) -
Huang Shipei,
Xiang Zhengrong,
Karimi Hamid Reza
Publication year - 2014
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.2013.0308
Subject(s) - control theory (sociology) , fault detection and isolation , filter (signal processing) , fuzzy logic , filter design , sensitivity (control systems) , fault (geology) , measure (data warehouse) , computer science , mathematics , engineering , artificial intelligence , data mining , electronic engineering , control (management) , seismology , actuator , computer vision , geology
This study investigates the problem of fault detection for a class of fuzzy positive systems with time‐varying delays. A new fault sensitivity measure, called L − index, is proposed. The L − fault detection filter design and multiobjective L − / L 1 fault detection filter design problems are addressed. A co‐positive type Lyapunov–Krasovskii functional is constructed for the performance analysis and fault detection filter design. Sufficient conditions for the existence of such two filers are firstly given, and then the design methods are presented. Finally, two examples are provided to show the effectiveness and applicability of the proposed method.