Set-based guaranteed active fault diagnosis for LPV systems with unknown bounded uncertainties

Tan, Jiyuan; Olaru, Sorin; Serón, María M.; Xu, Feng

doi:10.1016/j.automatica.2021.109602

Cited by 23 publications

(4 citation statements)

References 22 publications

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“…Remark 2. Since it is assumed that the centers of process disturbance zonotope W and measurement noise zonotope V are zero vectors (see ( 9)), (15) will provide the center of the estimated zonotopic set. This the reason why (15) does not include process disturbance w k and measurement noise v k terms.…”

Section: Zonotopic Estimator Designmentioning

confidence: 99%

“…9 Probabilistic methods such as Bayesian method 10 and statistical test method 11,12 need to know the probability distribution of system noise and disturbance in advance, but it is often difficult to obtain. However, deterministic methods such as set-membership estimation methods [13][14][15][16] do not need any prior information regarding the statistical distribution, but only knowledge about the upper and lower bounds of noise and disturbance is required, which are easier to obtain in practical industrial applications.…”

Section: Introductionmentioning

confidence: 99%

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An integrated design method for active fault diagnosis and control

Jing

Zhou

et al. 2023

Intl J Robust & Nonlinear

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The injection of an auxiliary input signal for active fault diagnosis may cause the change of system control performance in closed-loop operation. This paper presents a novel integrated design method for active fault diagnosis and tracking control in order to facilitate the detection of incipient faults, meanwhile ensuring the normal operation of the closed-loop system. First, a zonotopic filter is generated based on P radius minimization method to estimate the uncertain bound set of systems states. Then, an auxiliary input signal is designed to separate the reachable sets of the system in healthy and faulty operation situations.Generally, the auxiliary input signal is required to be designed minimizing the system closed-loop performance degradation. In this paper, a tracking controller is designed altogether with the auxiliary input signal to make the system output track a given reference. An optimal index is proposed to minimize simultaneously the energy of the auxiliary input signal and the output tracking error. Next, a fault detection logic is provided based on checking whether the closed-loop system state belongs to healthy zonotope. Finally, the feasibility and advantages of this work are verified by means of a numerical example.

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Section: Zonotopic Estimator Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An integrated design method for active fault diagnosis and control

Jing

Zhou

et al. 2023

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…Although such auxiliary excitations designed offline may be not as efficient as the online ones, the offline AFD methods have also received a great deal of attention due to their convenient synthesizability and effective realizability. Some remarkable results and conclusions have been presented in [16,27,28]. However, it is noted that the offline design of the auxiliary excitation in the existing set-based studies usually requires the computation of a forward set propagation and projection.…”

Section: Introductionmentioning

confidence: 97%

Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator

Han

Liu

et al. 2023

Entropy

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This paper considers the active fault isolation problem for a class of uncertain multimode fault systems with a high-dimensional state-space model. It has been observed that the existing approaches in the literature based on a steady-state active fault isolation method are often accompanied by a large delay in making the correct isolation decision. To reduce such fault isolation latency significantly, this paper proposes a fast online active fault isolation method based on the construction of residual transient-state reachable set and transient-state separating hyperplane. The novelty and benefit of this strategy lies in the embedding of a new component called the set separation indicator, which is designed offline to distinguish the residual transient-state reachable sets of different system configurations at any given moment. Based on the results delivered by the set separation indicator, one can determine the specific moments at which the deterministic isolation is to be implemented during online diagnostics. Meanwhile, some alternative constant inputs can also be evaluated for isolation effects to determine better auxiliary excitation signals with smaller amplitudes and more differentiated separating hyperplanes. The validity of these results is verified by both a numerical comparison and an FPGA-in-loop experiment.

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“…Also, the AFD approach can be classified into groups based on different relevant features as: the deterministic (norm bounded)/probabilistic (based on uncertainty description), the fixed/variable finite time interval or infinite time interval (based on the length of time interval in which auxiliary signals are designed). A list up to date and non exhaustive of related researches can be found in [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Active Fault Diagnosis based on Adaptive Degrees of Freedom X²-statistic method

Fergani

Jauberthie

2022

2022 8th International Conference on Control, Decision and Information Technologies (CoDIT)

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This paper is concerned with an active fault diagnosis method is developed based on an adaptive fault detection approach using χ 2 -statistics [1]. The system under consideration is linear discrete time-variant with sensor faults in the framework of mixed uncertainties (stochastic noises and bounded uncertainty for parameter matrices). The proposed method enhances the fault detection performance and provides the ability of localization and estimation of the detected fault. It provides also an on-line fault diagnosis with no delay in time instant with the computation time depending only on the computer performance.

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Set-based guaranteed active fault diagnosis for LPV systems with unknown bounded uncertainties

Cited by 23 publications

References 22 publications

An integrated design method for active fault diagnosis and control

An integrated design method for active fault diagnosis and control

Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator

Active Fault Diagnosis based on Adaptive Degrees of Freedom X²-statistic method

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Set-based guaranteed active fault diagnosis for LPV systems with unknown bounded uncertainties

Cited by 23 publications

References 22 publications

An integrated design method for active fault diagnosis and control

An integrated design method for active fault diagnosis and control

Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator

Active Fault Diagnosis based on Adaptive Degrees of Freedom X2-statistic method

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Product

Resources

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Active Fault Diagnosis based on Adaptive Degrees of Freedom X²-statistic method