论文标题
非线性系统随机可观察性的经验可观察性gramian
Empirical Observability Gramian for Stochastic Observability of Nonlinear Systems
论文作者
论文摘要
我们将基于经验可观察性的Gramian从确定性的非线性系统到非线性随机系统扩展了可观察性指标，以捕获过程噪声对可观察性的影响。我们证明，Gramian可用于提供等效条件，以定义线性系统上的随机可观察性，并且可以使用Gramian将随机观察性扩展到非线性随机系统。我们通过模拟进一步证明，对过程噪声的考虑可以揭示系统中使用传统确定性工具被认为是无法观察的系统的可观察性。
We extend observability metrics based on the empirical observability Gramian from deterministic nonlinear systems to nonlinear stochastic systems in order to capture the impact of process noise on observability. We demonstrate that the empirical observability Gramian can be used to provide an equivalent condition for a definition of stochastic observability on linear systems, and that the Gramian can be used to extend stochastic observability to nonlinear stochastic systems. We further demonstrate through simulation that consideration of process noise can reveal observability in systems that would be considered unobservable using traditional deterministic tools.
