ABSTRACT In this paper, the finite-time memory fault detection filter (MFDF) is designed for nonlinear discrete systems with randomly occurring deception attacks, where the phenomenon of the randomly occurring deception attacks is characterised by a Bernoulli distributed random variable with known probability. To be specific, the finite-horizon data are employed to construct the MFDF. The main purpose of this paper is to design the MFDF such that, for all nonlinearities, external disturbances and randomly occurring deception attacks, the resultant augmented system is finite-time stable and attains the performance. Accordingly, some sufficient conditions are developed to guarantee the existence of the desired fault detection filter parameters, where the solvability of the addressed problem is verified by the feasibility of certain matrix inequalities. Moreover, in order to show that the MFDF has better detection performance, a non-memory fault detection filter (NMFDF) is constructed to compare with the MFDF. Finally, two numerical simulations are utilised to illustrate the effectiveness of the proposed fault detection strategies and explain the superiority of the proposed MFDF.

中文翻译：

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具有欺骗攻击的非线性离散系统的有限时间记忆故障检测滤波器设计

摘要在本文中，有限时间记忆故障检测滤波器（MFDF）是为具有随机发生的欺骗攻击的非线性离散系统设计的，其中随机发生的欺骗攻击的现象以已知概率的伯努利分布随机变量为特征。具体而言，使用有限范围的数据来构建MFDF。本文的主要目的是设计 MFDF，使得对于所有非线性、外部干扰和随机发生的欺骗攻击，所得到的增强系统是有限时间稳定的并达到性能。因此，开发了一些充分条件来保证所需的故障检测滤波器参数的存在，其中所解决问题的可解性通过某些矩阵不等式的可行性得到验证。此外，为了表明MFDF具有更好的检测性能，构建了一个非内存故障检测滤波器（NMFDF）与MFDF进行比较。最后，利用两个数值模拟来说明所提出的故障检测策略的有效性，并解释所提出的 MFDF 的优越性。