Premium
Multi‐objective H − ∕ H ∞ fault detection observer design for Takagi–Sugeno fuzzy systems with unmeasurable premise variables: descriptor approach
Author(s) -
Aouaouda S.,
Chadli M.,
Cocquempot V.,
Tarek Khadir M.
Publication year - 2013
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2374
Subject(s) - control theory (sociology) , fault detection and isolation , observer (physics) , linear matrix inequality , bounded function , nonlinear system , fuzzy logic , mathematics , premise , computer science , representation (politics) , mathematical optimization , control (management) , artificial intelligence , mathematical analysis , linguistics , philosophy , physics , quantum mechanics , politics , political science , law , actuator
SUMMARY This paper investigates the problem of robust fault detection observer design for nonlinear Takagi–Sugeno models with unmeasurable premise variables subject to sensor faults and unknown bounded disturbance. The main idea is to synthesize a robust fault detection observer by means of a mixed H − ∕ H ∞ performance index. The considered observer is used to estimate jointly states and faults. Using the technique of descriptor system representation, we proposed a new less‐conservative approach in term of a linear matrix inequality (LMI) by considering the sensor fault as an auxiliary state variable. A solution of the problem is obtained by using an iterative LMI procedure. Copyright © 2012 John Wiley & Sons, Ltd.