A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties
Joint Authors
Peng, Xiuyan
Zhang, Biao
Rong, Lihong
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-11
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The fault detection (FD) reduced-order filtering problem is investigated for a family of continuous-time Markovian jump linear systems (MJLSs) with polytopic uncertain transition rates, which also include the totally known and partly unknown transition rates.
Then, in accordance with the convexification techniques, a novel sufficient condition for the existence of FD reduced-order filter over MJLSs with deficient transition information is obtained in terms of linear matrix inequality (LMI), which can ensure the error augmented system with the FD reduced-order filter is randomly stable.
In addition, a performance index is given to enhance the robustness of the residual system against deficient transition information and external disturbance, such that the error between the fault and the residual is made as small as possible to reinforce the faults sensitivity.
Finally, the effectiveness of the proposed method is substantiated with two illustrative examples.
American Psychological Association (APA)
Rong, Lihong& Peng, Xiuyan& Zhang, Biao. 2017. A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties. Complexity،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1142934
Modern Language Association (MLA)
Rong, Lihong…[et al.]. A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties. Complexity No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1142934
American Medical Association (AMA)
Rong, Lihong& Peng, Xiuyan& Zhang, Biao. A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties. Complexity. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1142934
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142934