An empirical method to fuse partially overlapping state vectors for distributed state estimation
An empirical method to fuse partially overlapping state vectors for distributed state estimation
复制标题
融合部分重叠状态向量进行分布式状态估计的经验方法
DOI：
10.23919/ecc.2013.6669738
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
B. Noack
中科院分区：
文献类型：
--
作者：
J. Sijs;U. Hanebeck;B. Noack
状态融合是将同一状态的多个估计合并为单个融合估计的方法。处理多个估计是分布式状态估计中的主要问题之一，其中在网络系统的每个节点中计算期望状态向量的估计值。目前可用的大多数分布式状态估计解决方案都假设每个节点计算（相同）全局状态向量的估计。由于过程状态的规模巨大，这种假设对于观察大面积过程的系统来说是不切实际的。一种可行的解决方案是每个节点估计全局状态向量的一部分，允许网络中的不同节点具有重叠的状态元素。尽管这种方法应该伴随相应的状态融合方法，但现有的解决方案不能采用，因为它们仅仅考虑具有相同状态表示的两个不同估计的融合。因此，提出了一种经验解决方案来融合具有部分重叠状态元素的两个状态估计。提出了所提出的融合方法的合理性，以及用于观察大棒温度分布的说明性案例研究，尽管形式推导是未来的研究。
State fusion is a method for merging multiple estimates of the same state into a single fused estimate. Dealing with multiple estimates is one of the main concerns in distributed state estimation, where an estimated value of the desired state vector is computed in each node of a networked system. Most solutions for distributed state estimation currently available assume that every node computes an estimate of the (same) global state vector. This assumption is impractical for systems observing large-area processes, due to the sheer size of the process state. A feasible solution is one where each node estimates a part of the global state vector, allowing different nodes in the network to have overlapping state elements. Although such an approach should be accompanied by a corresponding state fusion method, existing solutions cannot be employed as they merely consider fusion of two different estimates with equal state representations. Therefore, an empirical solution is presented for fusing two state estimates that have partially overlapping state elements. A justification of the proposed fusion method is presented, along with an illustrative case study for observing the temperature profile of a large rod, though a formal derivation is future research.