Zhang Yilian, Xia Nan, Han Qing-Long, Yang Fuwen
IEEE Trans Cybern. 2022 Mar;52(3):1454-1464. doi: 10.1109/TCYB.2020.2987576. Epub 2022 Mar 11.
This article is concerned with set-membership global estimation for a networked system under unknown-but-bounded process and measurement noises. First, a group of local set-membership estimators is deployed to obtain the local ellipsoidal estimate of the true system state. Each estimator is capable of communicating with its neighbors within its communication range. Second, a global estimation approach is proposed which generates a trace-maximal ellipsoid within the intersection of all the local estimation sets with an aim to improve the difference of the local estimate at each time instant. Sufficient conditions for providing a global estimate under both complete and incomplete measurement transmissions are derived. Third, as an application, a modified distributed photovoltaic grid-connected generation system is provided to verify the effectiveness of the developed set-membership global estimation approach. Furthermore, an islanding fault detection scheme is derived based on the calculated global ellipsoidal estimate. Finally, simulation verification of the obtained theoretical results on the distributed generation system is presented.
本文关注在未知但有界的过程噪声和测量噪声情况下网络系统的集合成员全局估计。首先，部署一组局部集合成员估计器以获得真实系统状态的局部椭球估计。每个估计器能够在其通信范围内与邻居进行通信。其次，提出一种全局估计方法，该方法在所有局部估计集的交集内生成一个迹最大椭球，旨在改善每个时刻局部估计的差异。推导了在完整和不完整测量传输情况下提供全局估计的充分条件。第三，作为应用，提供了一个改进的分布式光伏并网发电系统，以验证所提出的集合成员全局估计方法的有效性。此外，基于计算得到的全局椭球估计推导了孤岛故障检测方案。最后，给出了在分布式发电系统上获得的理论结果的仿真验证。
