Fault detection for uncertain nonlinear systems via recursive observer and tight threshold

作者:

Highlights:

• In this paper, the nonlinear fault detection observer is constructed and the observer gain function is derivated by choosing the novel Lyapunov functions. The predetermined estimation accuracy-dependent nonnegative function is introducing in the last step of recursive algorithm.

• The threshold design problem is solved by suppressing the residual within the predetermined output estimation accuracy range during the implementation process of observer.

• The tight thresholds ϵ and ϵ are predetermined under strategic designing scheme. It is straightforward to implement by comparison with the existing empirical or calculation methods of threshold.

摘要

•In this paper, the nonlinear fault detection observer is constructed and the observer gain function is derivated by choosing the novel Lyapunov functions. The predetermined estimation accuracy-dependent nonnegative function is introducing in the last step of recursive algorithm.•The threshold design problem is solved by suppressing the residual within the predetermined output estimation accuracy range during the implementation process of observer.•The tight thresholds ϵ and ϵ are predetermined under strategic designing scheme. It is straightforward to implement by comparison with the existing empirical or calculation methods of threshold.

论文关键词:Fault detection,Nonlinear systems,Recursive observer,Tight threshold

论文评审过程:Received 17 May 2021, Revised 2 August 2021, Accepted 13 September 2021, Available online 25 September 2021, Version of Record 25 September 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126665