In this paper, the event-triggered resilient filtering problem is investigated for a class of two-dimensional systems with asynchronous-delay under binary encoding-decoding schemes with probabilistic bit flips. To reduce unnecessary communications and computations in complex network systems, alleviate network energy consumption, and optimize the use of network resources, a new event-triggered mechanism is proposed, which focuses on broadcasting necessary measurement information to update innovation only when the event generator function is satisfied. A binary encoding-decoding scheme is used in the communication process to quantify the measurement information into a bit stream, transmit it through a memoryless binary symmetric channel with a certain probability of bit flipping, and restore it at the receiver. In order to utilize the delayed decoded measurement information that a measurement reconstruction approach is proposed. Through generating space equivalence verification, it is found that the reconstructed delay-free decoded measurement sequence contains the same information as the original delayed decoded measurement sequence. In addition, resilient filter is utilized to accommodate possible estimation gain perturbations. Then, a recursive estimator framework is presented based on the reconstructed decoded measurement sequence. By means of the mathematical induction technique, the unbiased property of the proposed estimator is proved. The estimation gain is obtained by minimizing an upper bound on the filtering error covariance. Subsequently, through rigorous mathematical analysis, the monotonicity of filtering performance with respect to triggering parameters is discussed.

翻译：本文研究了在存在概率比特翻转的二进制编解码方案下，一类具有异步时滞的二维系统的事件触发弹性滤波问题。为减少复杂网络系统中的不必要通信与计算、降低网络能耗并优化网络资源利用，提出了一种新的事件触发机制——仅当事件生成函数满足条件时，才广播必要的测量信息以更新新息。通信过程中采用二进制编解码方案，将测量信息量化为比特流，通过具有比特翻转概率的无记忆二进制对称信道传输，并在接收端恢复。为利用延迟的解码测量信息，提出了一种测量重构方法。通过生成空间等价性验证发现，重构的无时滞解码测量序列与原始时滞解码测量序列包含相同信息。此外，采用弹性滤波器以适应可能的估计增益扰动。基于重构的解码测量序列，构建了递推估计器框架。利用数学归纳法证明了所提估计器的无偏性，通过最小化滤波误差协方差的上界获得估计增益。最后，通过严格的数学分析讨论了滤波性能关于触发参数的单调性。