This paper investigates finite-time event-triggered filtering problems for fuzzy nonlinear semi-Markov jump systems (S-MJSs) subject to deception attacks. First, an interval type-2 (IT2) fuzzy S-MJSs is presented that can capture parameter uncertainties, in which the stochastic behavior is described by semi-Markov process while the sojourn-time obeys non-exponential distribution. Second, we design an adaptive event-triggered mechanism (AETM) for IT2 fuzzy S-MJSs that can save network resources, in which the triggered parameter can be automatically adjusted with the error information rather than a fixed value. Third, a hidden-Markov model is employed to represent the asynchronous situation between the filter and system. Then, a new IT2 fuzzy filtering error system is modeled by taking the effects of random deception attacks and AETM into consideration. Moreover, finite-time boundedness (FTB) analysis and a filter design method are proposed. Finally, an example is given to verify the effectiveness of the finite-time event-triggered filtering algorithm.

本文研究了受欺骗攻击的模糊非线性半马尔可夫跳跃系统 (S-MJS) 的有限时间事件触发过滤问题。首先，提出了一种可以捕获参数不确定性的区间类型 2 (IT2) 模糊 S-MJS，其中随机行为由半马尔可夫过程描述，而逗留时间服从非指数分布。其次，我们为IT2模糊S-MJS设计了一种可以节省网络资源的自适应事件触发机制（AETM），其中触发参数可以根据错误信息而不是固定值自动调整。第三，采用隐马尔可夫模型来表示滤波器和系统之间的异步情况。然后，考虑到随机欺骗攻击和AETM的影响，建立了一个新的IT2模糊过滤误差系统。此外，还提出了有限时间有界（FTB）分析和滤波器设计方法。最后，通过实例验证了有限时间事件触发滤波算法的有效性。