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$\mathcal{H}_2/\mathcal{H}_{-}$ Distributed Fault Detection and Isolation for Heterogeneous Multi-Agent Systems

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Thiem V. Pham, Quynh T. T. Nguyen

Systems and Control · Submitted 5 Jun 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In addition, we show that by using our proposed approach, each agent is able to estimate both its own states and states of its nearest neighbors in the presence of disturbances and faults.

how it is stated · asserted 1.00 read the record →

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arXiv ID2106.02822 (version 1)
Pith IDITNH6F74, Pith's permanent record of this paper and its review
CitationQuynh T. T. Nguyen, Thiem V. Pham. "$\mathcal{H}_2/\mathcal{H}_{-}$ Distributed Fault Detection and Isolation for Heterogeneous Multi-Agent Systems." arXiv:2106.02822 (2021). https://pith.science/paper/ITNH6F74
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,299 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The paper deals with the problem of distributed fault detection and isolation (FDI) for a group of heterogeneous multi-agent systems. The developed formation for the FDI is taken into account as a distributed observer design methodology, where the interaction between the agent and its neighbors is described as a vector of distributed relative output measurements. Based on two performance indexes $\mathcal{H}_2$ and $\mathcal{H}_{-}$, sufficient conditions are given to ensure the residual signals robust to the disturbances and sensitive with respect to the fault signals. In addition, we show that by using our proposed approach, each agent is able to estimate both its own states and states of its nearest neighbors in the presence of disturbances and faults. Finally, numerical simulations are provided to demonstrate the effectiveness of the theoretically analyzed results.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The paper deals with the problem of distributed fault detection and isolation (FDI) for a group of heterogeneous multi-agent systems. background 0.91 0.51 0.04 asserted 0.95
s1 The developed formation for the FDI is taken into account as a distributed observer design methodology, where the interaction between the agent and its neighbors is described as a vector of distributed relative output measurements. method 0.93 0.79 0.05 asserted 0.99
s2 Based on two performance indexes $\mathcal{H}_2$ and $\mathcal{H}_{-}$, sufficient conditions are given to ensure the residual signals robust to the disturbances and sensitive with respect to the fault signals. contribution 0.52 0.93 0.26 asserted 1.00
s3 In addition, we show that by using our proposed approach, each agent is able to estimate both its own states and states of its nearest neighbors in the presence of disturbances and faults. result 0.88 0.93 0.34 asserted 1.00
s4 Finally, numerical simulations are provided to demonstrate the effectiveness of the theoretically analyzed results. method 0.49 0.94 0.13 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.93 · evidence from proof or derivation 0.59.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The paper deals with the problem of distributed fault detection and isolation (FDI) for a group of heterogeneous multi-agent systems. The developed formation for the FDI is taken into account as a distributed observer design methodology, where the interaction between the agent and its neighbors is described as a vector of distributed relative output measurements. Based on two performance indexes $\mathcal{H}_2$ and $\mathcal{H}_{-}$, sufficient conditions are given to ensure the residual signals robust to the disturbances and sensitive with respect to the fault signals. In addition, we show that by using our proposed approach, each agent is able to estimate both its own states and states of its nearest neighbors in the presence of disturbances and faults. Finally, numerical simulations are provided to demonstrate the effectiveness of the theoretically analyzed results.

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