In this paper, the set-membership filtering problem is investigated for a class of two-dimensional (2-D) shift-varying systems described by the general Fornasini-Marchesini second model with a dynamic event-triggered mechanism. The sensors are communicated with the remote filter through a communication network of limited bandwidth. In order to improve the efficiency of utilizing the network resources, a dynamic event-triggered mechanism is exploited for the 2-D shift-varying system, and a set-membership filter is then designed for 2-D systems subject to unknown-but-bounded noises so that the actual system state is guaranteed to reside within an optimized ellipsoidal set. By means of the mathematical induction technique and the set theory, sufficient conditions are derived to ensure the existence of the desired set-membership filter. Furthermore, the filter gains are obtained by solving a set of optimization problems subject to ellipsoidal constraints. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed filter design method.

在本文中，研究了由具有动态事件触发机制的通用 Fornasini-Marchesini 第二模型描述的一类二维（2-D）移位变化系统的集合成员过滤问题。传感器通过通信网络与远程过滤器通信有限的带宽。为了提高网络资源的利用效率，对二维移位变化系统采用动态事件触发机制，然后针对未知但不规则的二维系统设计了集合成员过滤器。有界噪声，以便保证实际系统状态位于优化的椭圆体集中。通过数学归纳技术和集合论，推导出了保证期望集合成员过滤器存在的充分条件。此外，滤波器增益是通过求解一组受椭圆约束的优化问题来获得的。最后，给出了一个说明性的例子来证明所提出的滤波器设计方法的有效性。