论文标题
Rössler系统网络的可观察性分析和观察者设计
Observability analysis and observer design of networks of Rössler systems
论文作者
论文摘要
我们解决了从有限的节点的实际状态中了解Rössler系统网络的完整状态的问题。通过基于图形和象征性可观察性方法的过程以层次的方式进行放置传感器的节点的选择。通过使用直接从管理方程获得的地图，我们设计了一个非线性网络观察者，该观察者能够以最小的误差来展开非测量节点的状态。对于稀疏网络，在具有异构度分布的网络中，网络大小和节点重建错误的一半的传感器尺度较低。即使在存在参数不匹配和非连接动力学的情况下，该方法的性能也很好，因此，我们希望它对于设计可靠的网络控制定律有用。
We address the problem of retrieving the full state of a network of Rössler systems from the knowledge of the actual state of a limited set of nodes. The selection of the nodes where sensors are placed is carried out in a hierarchical way through a procedure based on graphical and symbolic observability approaches. By using a map directly obtained from the governing equations, we design a nonlinear network observer which is able to unfold the state of the non measured nodes with minimal error. For sparse networks, the number of sensors scales with half the network size and node reconstruction errors are lower in networks with heterogeneous degree distributions. The method performs well even in the presence of parameter mismatch and non-coherent dynamics and, therefore, we expect it to be useful for designing robust network control laws.
