Optimal fault detection for linear discrete time-varying systems

Zhong, Maiying; Ding, Steven X.; Ding, E.L.

doi:10.1016/j.automatica.2010.05.022

Cited by 131 publications

(100 citation statements)

References 14 publications

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“…As mentioned in Section 1, the threshold ellipsoid determined by the shape matrix in the evaluation rule (16) can give more design freedom than the threshold scalar value in (11), and the rule (11) is actually equivalent to the rule (16) that adopts a threshold sphere with an appropriate radius. Considering that only the threshold value is used in residual evaluation of the integrated FD method [4,17], it motivated us to utilize the threshold ellipsoid-based evaluation rule (16) instead of the threshold value-based evaluation rule (11) in the integrated trade-off FD design to further reduce the conservativeness in the FD decision or equivalently enlarge the set of detectable sets with no need to scarify FAR. Note that other shapes can also be used as the threshold set.…”

Section: Motivation To Utilize the Set-membership Techniquementioning

confidence: 99%

A set‐membership approach to integrated trade‐off design of robust fault detection system

Zhai

Wan

Hao

2016

Adaptive Control & Signal

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In order to improve fault detection (FD) performance, integrated design of residual generation and evaluation is investigated in this paper for trade-offs between fault detection rate and false alarm rate (FAR). A setmembership approach is proposed in residual evaluation by adopting a threshold ellipsoid, which enables more design freedom than a conventional threshold value. With the set-based definitions of fault detection rate and FAR, the integrated design problem is formulated by maximizing the FD performance under a predefined FAR. The joint optimal selection of a residual generator and a threshold ellipsoid is equivalently transformed into a simplified optimization problem of determining an optimal threshold ellipsoid for any given residual generator. A suboptimal solution for the set-membership-based integrated FD system design is obtained based on approximated computation of the FD performance. Monte Carlo simulations show the performance improvement of the proposed method compared with an existing integrated design method.

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Section: Motivation To Utilize the Set-membership Techniquementioning

confidence: 99%

A set‐membership approach to integrated trade‐off design of robust fault detection system

Zhai

Wan

Hao

2016

Adaptive Control & Signal

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“…Recently, the FDD problems have stirred considerable research interest and a rich body of literature has appeared on both the theoretical research and practical applications, see, e.g. [8]- [15] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Least-Squares Fault Detection and Diagnosis for Networked Sensing Systems Using A Direct State Estimation Approach

Wang

Liu

et al. 2013

IEEE Trans. Ind. Inf.

146

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In this paper, the problems of fault detection, isolation, and estimation are considered for a class of discrete time-varying networked sensing systems with incomplete measurements. A unified measurement model is utilized to simultaneously characterize both the phenomena of multiple communication delays and data missing. A least-squares filter that minimizes the estimation variance is first designed for the addressed time-varying networked sensing systems, and then a novel residual matching (RM) approach is developed to isolate and estimate the fault once it is detected. The RM strategy is implemented via a series of Kalman filters, where each filter is designed to estimate the augmented signal composed of the system state and a specific fault signal. The design scheme for each filter is proposed in a recursive way. The main idea for the fault detection and estimation is that the Kalman filter with least residual value is regarded as corresponding to the right fault signal, and its estimation is utilized to represent the actual occurred fault. The effectiveness of our proposed method is demonstrated via simulation experiments on a real Internet-based three-tank system. Index Terms-Delayed and missing measurements, fault detection and diagnosis (FDD), fault estimation, Kalman filter, networked sensing systems.

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“…However, such decoupling FDFs may not sensitive to the faults [2,11]. The H ∞ /H ∞ optimisation has been developed for the design of optimal FDFs [12,13], which can simultaneously minimise the influence of disturbances and maximise the maximum influence of faults.…”

Section: Introductionmentioning

confidence: 99%

Optimal H _i / H _∞ fault‐detection filter design for uncertain linear time‐invariant systems: an iterative linear matrix inequality approach

Zhu

Zhou

et al. 2013

IET Control Theory & Applications

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An iterative linear matrix inequality (LMI) approach is proposed to design fault-detection filters (FDFs) of uncertain linear time-invariant (LTI) systems. The obtained FDF is the optimal solution for the H i /H ∞ (with H ∞ /H ∞ and H − /H ∞ being two extreme cases) optimisation problem of FDF design and can achieve the best trade-off between robustness against unknown disturbances and sensitivity to system faults. The authors first derive the theoretical optimal H i /H ∞ FDFs for uncertain LTI systems based on the co-inner-outer factorisation technique. Then a new optimisation problem is formulated to obtain the optimal FDFs that can approach the theoretical optimal ones as much as possible. An iterative LMI approach is presented to find the solution in the state-space form. The effectiveness of the proposed approach is illustrated by a numerical example.

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Optimal fault detection for linear discrete time-varying systems

Cited by 131 publications

References 14 publications

A set‐membership approach to integrated trade‐off design of robust fault detection system

A set‐membership approach to integrated trade‐off design of robust fault detection system

Least-Squares Fault Detection and Diagnosis for Networked Sensing Systems Using A Direct State Estimation Approach

Optimal H _i / H _∞ fault‐detection filter design for uncertain linear time‐invariant systems: an iterative linear matrix inequality approach

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Optimal fault detection for linear discrete time-varying systems

Cited by 131 publications

References 14 publications

A set‐membership approach to integrated trade‐off design of robust fault detection system

A set‐membership approach to integrated trade‐off design of robust fault detection system

Least-Squares Fault Detection and Diagnosis for Networked Sensing Systems Using A Direct State Estimation Approach

Optimal H i / H ∞ fault‐detection filter design for uncertain linear time‐invariant systems: an iterative linear matrix inequality approach

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Optimal H _i / H _∞ fault‐detection filter design for uncertain linear time‐invariant systems: an iterative linear matrix inequality approach