4.6 Article

Asynchronous Frequency-Dependent Fault Detection for Nonlinear Markov Jump Systems Under Wireless Fading Channels

Journal

IEEE TRANSACTIONS ON CYBERNETICS
Volume 52, Issue 12, Pages 13598-13608

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2021.3108347

Keywords

Asynchronous fault detection (FD); fading channel; frequency dependent; nonlinear Markov jump systems

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This article investigates the asynchronous fault detection (FD) strategy in frequency domain for nonlinear Markov jump systems under fading channels. A set of asynchronous FD filters is proposed to estimate system dynamics, and the augmented system is shown to be stochastic stable with a prescribed l(2) gain even under fading transmissions. Novel decoupling techniques and slack variables are used to deduce solvable conditions with less conservatism for calculating FD filter gains. The proposed method's effectiveness is demonstrated with an illustrative example.
In this article, the asynchronous fault detection (FD) strategy is investigated in frequency domain for nonlinear Markov jump systems under fading channels. In order to estimate the system dynamics and meet the fact that not all the running modes can be observed exactly, a set of asynchronous FD filters is proposed. By using statistical methods and the Lynapunov stability theory, the augmented system is shown to be stochastic stable with a prescribed l(2) gain even under fading transmissions. Then, a novel lemma is developed to capture the finite frequency performance. Some solvable conditions with less conservatism are subsequently deduced by exploiting novel decoupling techniques and additional slack variables. Besides, the FD filter gains could be calculated with the aid of the derived conditions. Finally, the effectiveness of the proposed method is shown by an illustrative example.

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