Unbiased minimum-variance filter for state and fault estimation of linear time-varying systems with unknown disturbances.
Ben Hmida, Fayçal, Khémiri, Karim, Ragot, José, Gossa, Moncef (2010)
Mathematical Problems in Engineering
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Ben Hmida, Fayçal, Khémiri, Karim, Ragot, José, Gossa, Moncef (2010)
Mathematical Problems in Engineering
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Karim Khémiri, Fayçal Ben Hmida, José Ragot, Moncef Gossa (2011)
International Journal of Applied Mathematics and Computer Science
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This paper studies recursive optimal filtering as well as robust fault and state estimation for linear stochastic systems with unknown disturbances. It proposes a new recursive optimal filter structure with transformation of the original system. This transformation is based on the singular value decomposition of the direct feedthrough matrix distribution of the fault which is assumed to be of arbitrary rank. The resulting filter is optimal in the sense of the unbiased minimum-variance...
Hicham Jamouli, Mohamed Amine El Hail, Dominique Sauter (2012)
International Journal of Applied Mathematics and Computer Science
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This paper presents an adaptive Generalized Likelihood Ratio (GLR) test for multiple Faults Detection and Isolation (FDI) in stochastic linear dynamic systems. Based on the work of Willsky and Jones (1976), we propose a modified generalized likelihood ratio test, allowing detection, isolation and estimation of multiple sequential faults. Our contribution aims to maximise the good decision rate of fault detection using another updating strategy. This is based on a reference model updated...
Chong Wu, Juntong Qi, Dalei Song, Xin Qi, Jianda Han (2015)
International Journal of Applied Mathematics and Computer Science
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Simultaneous state and parameter estimation based actuator fault detection and diagnosis (FDD) for single-rotor unmanned helicopters (UHs) is investigated in this paper. A literature review of actuator FDD for UHs is given firstly. Based on actuator healthy coefficients (AHCs), which are introduced to represent actuator faults, a combined dynamic model is established with the augmented state containing both the flight state and AHCs. Then the actuator fault detection and diagnosis problem...
Miroslav Šimandl, Ivo Punčochář (2014)
International Journal of Applied Mathematics and Computer Science
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Karim Chabir, Mohamed Amine Sid, Dominique Sauter (2014)
International Journal of Applied Mathematics and Computer Science
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This paper considers the problem of attitude sensor fault diagnosis in a quadrotor helicopter. The proposed approach is composed of two stages. The first one is the modelling of the system attitude dynamics taking into account the induced communication constraints. Then a robust fault detection and evaluation scheme is proposed using a post-filter designed under a particular design objective. This approach is compared with previous results based on the standard Kalman filter and gives...
Yanjun Shen, Chen Ma, Chenhao Zhao, Zebin Wu (2024)
Kybernetika
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In this article, the problems of fault diagnosis (FD) and fault-tolerant control (FTC) are investigated for a class of nonlinear systems with output measurement noise. Due to the influence of measurement noise in the output sensor, the output observation error cannot be accurately obtained, which causes obstacles to the accuracy of FD. To address this issue, an output filter and disturbance estimator are constructed to decrease the negative effects of measurement noise and observer gain...
Vicenç Puig (2010)
International Journal of Applied Mathematics and Computer Science
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This paper reviews the use of set-membership methods in fault diagnosis (FD) and fault tolerant control (FTC). Setmembership methods use a deterministic unknown-but-bounded description of noise and parametric uncertainty (interval models). These methods aims at checking the consistency between observed and predicted behaviour by using simple sets to approximate the exact set of possible behaviour (in the parameter or the state space). When an inconsistency is detected between the measured...
Karim Chabir, Mohamed Amine Sid, Dominique Sauter (2014)
International Journal of Applied Mathematics and Computer Science
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Ramatou Seydou, Tarek Raissi, Ali Zolghadri, Denis Efimov (2013)
International Journal of Applied Mathematics and Computer Science
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This paper describes a robust set-membership-based Fault Detection and Isolation (FDI) technique for a particular class of nonlinear systems, the so-called flat systems. The proposed strategy consists in checking if the expected input value belongs to an estimated feasible set computed using the system model and the derivatives of the measured output vector. The output derivatives are computed using a numerical differentiator. The set-membership estimator design for the input vector...
Alain Yetendje, Maria M. Seron, José A. De Doná (2012)
International Journal of Applied Mathematics and Computer Science
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In this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means...
Khosrowjerdi, M.J. (2011)
Mathematical Problems in Engineering
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