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Fault Detection for Uncertain Incremental Quadratic Nonlinear System Based on Zonotopes

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Abstract

This paper deals with the fault detection (FD) problem for uncertain time-delayed systems with nonlinearities satisfying incremental quadratic constraints. To begin with, an observer is designed to construct the residual system for FD purpose. Because the output disturbance is involved in the residual dynamics, this residual cannot be used for FD directly. To solve this problem, the interval estimation of the residual is introduced by using the zonotope method. Based on the interval estimation of the residual, a residual-based FD scheme is proposed. Finally, a numerical simulation example is given to verify the effectiveness. Besides, some comparisons are also made and to show the advantages of proposed method.

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Funding

Funding is provided by National Natural Science Foundation of China (Grant Nos. 61973236, 61573256).

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Authors and Affiliations

  1. Tongji University, No. 4800, Caoan Road, Jiading District, Shanghai, China

    Younan Zhao, Yuyan Tang & Fanglai Zhu

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  1. Younan Zhao
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  2. Yuyan Tang
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  3. Fanglai Zhu
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Correspondence to Fanglai Zhu.

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Zhao, Y., Tang, Y. & Zhu, F. Fault Detection for Uncertain Incremental Quadratic Nonlinear System Based on Zonotopes. Circuits Syst Signal Process 41, 5444–5460 (2022). https://doi.org/10.1007/s00034-022-02049-9

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  • DOI: https://doi.org/10.1007/s00034-022-02049-9

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