利用伽辽金近似的集值非线性估计

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) Pub Date : 1998-06-21 DOI:10.1109/ACC.1998.703279

J. Kenney, R. Beard, W. Stirling

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引用次数: 2

摘要

提出了一种非线性动态系统的集值状态估计器。该估计器使用伽辽金近似来求解连续时间、连续状态非线性系统扩散的Kolmogorov方程，以及实现噪声测量的离散时间更新。状态的过滤同时针对一组凸分布完成，并在任何期望的时间实例中提供结果均值集的函数表示。

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Set-valued nonlinear estimation using the Galerkin approximation

A set-valued state estimator for nonlinear dynamic systems is presented. The estimator uses the Galerkin approximation to solve Kolmogorov's equation for the diffusion of a continuous-time, continuous-state nonlinear system, as well as for implementing discrete time updates of noisy measurements. This filtering of the state is accomplished for a convex set of distributions simultaneously, and a functional representation of the set of resulting means is provided at any desired time instance.

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Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)

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