On the “Uniform” Observability of Discrete-Time Nonlinear Systems
On the “Uniform” Observability of Discrete-Time Nonlinear Systems
复制标题
论离散时间非线性系统的“一致”可观性
DOI：
10.1109/tac.2009.2023775
复制
发表时间：
2009
影响因子：
6.8
通讯作者：
S. Hanba
中科院分区：
文献类型：
--
作者：
S. Hanba
在构造离散时间非线性系统的观测器时，通常要求系统满足某种“均匀”可观测性条件，即状态始终可以从特定长度的观测窗重构，而不管状态和输入的值如何。在本技术说明中，证明了这种“一致”要求是不必要的，因为如果初始状态和输入位于紧集上，则“一致”可观测性是从其非一致对应项导出的。
In constructing an observer for a discrete-time nonlinear system, the system is commonly required to satisfy a certain kind of "uniform" observability condition, that is, the state should always be reconstructible from observation windows of a specific length, irrespective of the values of the state and inputs. In this technical note, it is proved that this "uniform" requirement is unnecessary in the sense that if the initial state and inputs are on a compact set, then the "uniform" observability is derived from its non-uniform counterpart.