Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-12
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
This paper investigates the problem of full-order and reduced-order fault detection filter (FDF) design under unified linear matrix inequality (LMI) conditions for a class of continuous-time singular Markovian jump systems (CTSMJSs) with time-varying delays and polytopic uncertain transition rates.
By constructing a new Lyapunov function, sufficient conditions are firstly provided for the singular model error augmented system such that the system is stochastically admissible with an H∞ performance level γ.
And then, by applying a novel convex polyhedron technique to decoupled linear matrix inequalities, the full-order and reduced-order fault detection filter parameters can be obtained within a convex optimization frame.
The reduced-order fault detection filter (FDF) can not only meet the fault detection accuracy requirements of complex systems but also improve the fault detection efficiency.
Finally, a DC motor and an illustrative simulation example are given to verify the feasibility and effectiveness of the proposed algorithms.
American Psychological Association (APA)
Shi, Yunling& Peng, Xiuyan. 2020. Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays. Complexity،Vol. 2020, no. 2020, pp.1-23.
https://search.emarefa.net/detail/BIM-1141652
Modern Language Association (MLA)
Shi, Yunling& Peng, Xiuyan. Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays. Complexity No. 2020 (2020), pp.1-23.
https://search.emarefa.net/detail/BIM-1141652
American Medical Association (AMA)
Shi, Yunling& Peng, Xiuyan. Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays. Complexity. 2020. Vol. 2020, no. 2020, pp.1-23.
https://search.emarefa.net/detail/BIM-1141652
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141652