Publication
Robust fault estimation based on zonotopic Kalman filter for discrete-time descriptor systems
Journal Article (2018)
Journal
International Journal of Robust and Nonlinear Control
Pages
5071-5086
Volume
28
Number
16
Doc link
https://doi.org/10.1002/rnc.4298
File
Abstract
This paper proposes a set-based approach for robust fault estimation of discrete-time descriptor systems. The considered descriptor systems are subject to unknown-but-bounded uncertainties (state disturbances and measurement noise) in predefined zonotopes and additive actuator faults. The zonotopic fault estimation filter for descriptor systems is built based on fault detectability indices and matrix to estimate fault magnitude in a deterministic set. The zonotopic fault estimation filter gain is designed in a parameterized form. Within a set-based framework, following the zonotopic Kalman filter, the optimal filter gain is computed by minimizing the size of the corresponding zonotopes to achieve robustness against uncertainties and the identification of occurred actuator faults. Besides, boundedness of the proposed zonotopic fault estimation is analyzed, which proves that the size of obtained fault estimation bounds is not growing in time. Finally, the simulation results with two application examples are provided to show the effectiveness of the proposed approach.
Categories
control theory.
Scientific reference
Y. Wang, V. Puig and G. Cembrano. Robust fault estimation based on zonotopic Kalman filter for discrete-time descriptor systems. International Journal of Robust and Nonlinear Control, 28(16): 5071-5086, 2018.
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