H−/L∞ Fault Detection Observer Design for Uncertain Lipschitz Nonlinear Systems

Yufeng Qin, Xianjun Shi, Yufeng Long, Jiapeng Lv and Lei Liu

Mathematical Problems in Engineering, 2022, vol. 2022, 1-10

Abstract: This paper deals with the robust fault detection problem in the finite frequency domain for a class of Lipschitz nonlinear systems with uncertain parameters. The design conditions of H−/L∞ fault detection observers are proposed. These conditions make the error estimation system stable, and the residual has L∞ disturbance attenuation performance for external disturbances and uncertain parameters. In addition, considering that fault occurs in the finite frequency domain, the residual also has H− fault sensitivity performance. To ease of solution, the observer design conditions are further transformed into linear matrix inequalities. On this basis, a dynamic threshold design method based on L∞ analysis is presented. Finally, simulation results demonstrate the superiority of the proposed method.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6596746

DOI: 10.1155/2022/6596746

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