基于Dempster Shafer理论的动态系统状态估计新方法

Ghalia Nassreddine, F. Abdallah, T. Denoeux
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引用次数: 2

摘要

状态估计方法的目标是根据不同传感器给出的测量值和系统的数学表示来计算系统状态的准确估计。本文提出了一种基于阻尼-谢弗理论和区间分析的状态估计方法。该方法使用由有限数量的具有关联质量的轴向框组成的信念结构。这种信念结构可以对模型和测量不确定性的部分信息进行建模,比单独的有界误差方法更准确。利用区间算法和约束满足技术在系统方程中传播焦点集,从而推广了纯区间分析。将该方法应用于一个车辆定位问题,结果表明了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new method for state estimation of dynamic system based on Dempster Shafer theory
The goal of state estimation method is to compute an accurate estimation of the state of the system based on the measurement given by different sensors and a mathematical representation of the system. In this paper a new state estimation method based on Dampster-Shafer theory and interval analysis is presented. This method uses belief structures composed of a finite number of axis-aligned boxes with associated masses. Such belief structures can model partial information on model and measurement uncertainties, more accurately than the bounded error approach alone. Focal sets are propagated in the system equations using tools from interval arithmetics and constraint satisfaction techniques, thus generalizing pure interval analysis. The results of applying the proposed method on a vehicle localization problem show the usefulness of the proposed method.
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