Minimum Structural Sensor Placement for Switched Linear Time-Invariant Systems and Unknown Inputs
Minimum Structural Sensor Placement for Switched Linear Time-Invariant Systems and Unknown Inputs
复制标题
DOI：
10.1016/j.automatica.2022.110557
复制
发表时间：
2021-07
期刊：
影响因子：
--
通讯作者：
Emily A. Reed;Guilherme Ramos;P. Bogdan;S. Pequito
中科院分区：
文献类型：
--
作者：
Emily A. Reed;Guilherme Ramos;P. Bogdan;S. Pequito
本文研究了具有未知输入的连续时间切换线性定常系统的结构状态和输入可观性。首先，我们提供了必要和充分条件，其结构状态和输入可观性，可以有效地验证在O（（m（n+ p））2），其中n是状态变量的数量，p是未知输入的数量，和m是模式的数量。此外，我们解决这些系统的最小传感器放置问题，通过采用前馈分析，并通过提供一个算法的计算复杂度为O（（m（n+ p）+ α）2。373），其中α是系统的有向图表示的目标强连通分量的数量。最后，我们将我们的算法应用到电力系统中的一个实际例子来说明我们的结果。
In this paper, we study the structural state and input observability of continuous-time switched linear time-invariant systems and unknown inputs. First, we provide necessary and sufficient conditions for their structural state and input observability that can be efficiently verified in O ((m (n+ p)) 2), where n is the number of state variables, p is the number of unknown inputs, and m is the number of modes. Moreover, we address the minimum sensor placement problem for these systems by adopting a feed-forward analysis and by providing an algorithm with a computational complexity of O ((m (n+ p)+ α) 2. 373), where α is the number of target strongly connected components of the system’s digraph representation. Lastly, we apply our algorithm to a real-world example in power systems to illustrate our results.