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Robust Fault Detection for Nonlinear Discrete Systems with Data Drift and Randomly Occurring Faults Under Weighted Try-Once-Discard Protocol

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Abstract

This paper is concerned with the robust fault detection (FD) problem for discrete uncertain systems with data drift, randomly occurring faults (ROFs) and randomly occurring nonlinearities (RONs) under weighted try-once-discard (WTOD) protocol. The phenomena of the RONs are characterized by the Bernoulli distributed variable. The Markov chain with two states is introduced to describe the ROFs in the system. The data drift is depicted by an array of mutually independent stochastic variables with individual probabilistic distribution functions. Moreover, the WTOD protocol is utilized to lessen the incidence of data collisions and enhance the communication efficiency. An FD filter is established, and sufficient conditions are proposed under which the resultant filtering error system is stochastically stable and achieves a prescribed \(H_{\infty }\) performance irrespective of the simultaneous presence of the WTOD protocol mechanism, ROFs, RONs and data drift. Besides, the form of the desired filter parameters is presented in terms of the solutions to certain matrix inequalities. Finally, two examples are exploited to demonstrate the feasibility of the obtained robust FD algorithm.

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Authors and Affiliations

  1. The Higher Educational Key Laboratory for Measuring & Control Technology and Instrumentations of Heilongjiang Province, Harbin University of Science and Technology, Harbin, 150080, China

    Weilu Chen & Xiaoyang Yu

  2. School of Science, Harbin University of Science and Technology, Harbin, 150080, China

    Jun Hu & Dongyan Chen

  3. School of Engineering, University of South Wales, Pontypridd, CF37 1DL, UK

    Jun Hu

  4. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Dongyan Chen

  5. College of Science, Qiqihar University, Qiqihar, 161006, China

    Junhua Du

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  1. Weilu Chen
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  2. Jun Hu
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Correspondence to Jun Hu.

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This work was supported in part by the National Natural Science Foundation of China under Grants 61673141 and 61571168, the Fok Ying Tung Education Foundation of China under Grant 151004, the Outstanding Youth Science Foundation of Heilongjiang Province of China under Grant JC2018001, the Natural Science Foundation of Heilongjiang Province of China under Grant A2018007, and the Alexander von Humboldt Foundation of Germany.

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Chen, W., Hu, J., Yu, X. et al. Robust Fault Detection for Nonlinear Discrete Systems with Data Drift and Randomly Occurring Faults Under Weighted Try-Once-Discard Protocol. Circuits Syst Signal Process 39, 111–137 (2020). https://doi.org/10.1007/s00034-019-01184-0

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