In this paper, the partial-nodes-based (PNB) state estimation issue is investigated for a class of discrete-time complex networks with constrained bit rate and bounded noises. Measurements from only a fraction of nodes in a complex network are acquired and used for state estimation. The communication between sensor nodes and estimators is accomplished over a wireless digital communication network with limited bandwidth. A bit rate constraint model is introduced to reflect the bandwidth allocation rules of partially accessible nodes. A sufficient condition is proposed under which the PNB state estimation error system is guaranteed to be ultimately bounded, and then a bit rate condition assuring a specific estimation performance is presented. The estimator gains are derived by solving two optimization problems in order to ensure two estimation performance metrics (i.e. the smallest ultimate bound and the fastest decay rate). Furthermore, the co-design issue of the bit rate allocation protocol and the estimator gains is addressed by means of particle swarm optimization and linear matrix inequalities. Finally, three numerical simulations are provided to verify the validity of the proposed PNB state estimation approach.

中文翻译：

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具有受限比特率的复杂网络的基于部分节点的状态估计


在本文中，研究了一类具有受限比特率和有界噪声的离散时间复杂网络的基于部分节点（PNB）的状态估计问题。仅获取复杂网络中一小部分节点的测量值并将其用于状态估计。传感器节点和估计器之间的通信是通过带宽有限的无线数字通信网络完成的。引入比特率约束模型来反映部分可访问节点的带宽分配规则。提出了保证PNB状态估计误差系统最终有界的充分条件，并给出了保证特定估计性能的比特率条件。估计器增益是通过解决两个优化问题来导出的，以确保两个估计性能指标（即最小的最终界限和最快的衰减率）。此外，通过粒子群优化和线性矩阵不等式解决了比特率分配协议和估计器增益的协同设计问题。最后，提供了三个数值模拟来验证所提出的PNB状态估计方法的有效性。