Simultaneous Robust Fault and State Estimation for Linear Discrete-Time Uncertain Systems
Joint Authors
Ben Hmida, Fayçal
Gannouni, Feten
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider the problem of robust simultaneous fault and state estimation for linear uncertain discrete-time systems with unknown faults which affect both the state and the observation matrices.
Using transformation of the original system, a new robust proportional integral filter (RPIF) having an error variance with an optimized guaranteed upper bound for any allowed uncertainty is proposed to improve robust estimation of unknown time-varying faults and to improve robustness against uncertainties.
In this study, the minimization problem of the upper bound of the estimation error variance is formulated as a convex optimization problem subject to linear matrix inequalities (LMI) for all admissible uncertainties.
The proportional and the integral gains are optimally chosen by solving the convex optimization problem.
Simulation results are given in order to illustrate the performance of the proposed filter, in particular to solve the problem of joint fault and state estimation.
American Psychological Association (APA)
Gannouni, Feten& Ben Hmida, Fayçal. 2017. Simultaneous Robust Fault and State Estimation for Linear Discrete-Time Uncertain Systems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192644
Modern Language Association (MLA)
Gannouni, Feten& Ben Hmida, Fayçal. Simultaneous Robust Fault and State Estimation for Linear Discrete-Time Uncertain Systems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1192644
American Medical Association (AMA)
Gannouni, Feten& Ben Hmida, Fayçal. Simultaneous Robust Fault and State Estimation for Linear Discrete-Time Uncertain Systems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1192644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192644