Open AccessRobust fault detection filter design for a class of discrete‐time conic‐type non‐linear Markov jump systems with jump fault signals
Author(s) -
Dong Xuefei,
He Shuping,
Stojanovic Vladimir
Publication year - 2020
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.2019.1316
Subject(s) - conic section , control theory (sociology) , filter (signal processing) , fault detection and isolation , jump , filter design , mathematics , fault (geology) , filtering problem , markov chain , discrete time and continuous time , linear matrix inequality , computer science , mathematical optimization , artificial intelligence , statistics , control (management) , actuator , physics , geometry , quantum mechanics , seismology , computer vision , geology
This study investigates the robust fault detection filter design problem for a class of discrete‐time conic‐type non‐linear Markov jump systems with jump fault signals. The conic‐type non‐linearities satisfy a restrictive condition that lies in an n ‐dimensional hyper‐sphere with an uncertain centre. A crucial idea is to formulate the robust fault detection filter design problem of non‐linear Markov jump systems as H ∞ filtering problem. The authors aim to design a fault detection filter such that the augmented Markov jump systems with conic‐type non‐linearities are stochastically stable and satisfy the given H ∞ performance against the external disturbances. By means of the appropriate mode‐dependent Lyapunov functional method, sufficient conditions for the existence of the designed fault detection filter are presented in terms of linear matrix inequalities. Finally, a practical circuit model example is employed to demonstrate the availability of the main results.