Nonlinear state observation using H∞-filtering Riccati design

Nonlinear state observation using H∞-filtering Riccati design
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使用 H∞ 滤波 Riccati 设计的非线性状态观察

DOI:
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发表时间:
1999
影响因子:
6.8
通讯作者:
R. Unbehauen
R. Unbehauen
中科院分区:
计算机科学2区
文献类型:
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作者:
K. Reif;F. Sonnemann;R. Unbehauen

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提出了一种连续时间非线性系统的观测器。观测器增益由类似于扩展卡尔曼滤波器的Riccati微分方程计算。通过选择适当的李雅普诺夫函数,证明了在一定条件下,所提出的观测器是指数观测器。此外,作者还探讨了所提出的观测器与鲁棒控制理论和H/sub /spl infin//-滤波的一些重要关系。为了检验所提出的观测器的实用性,他们将其应用于感应电动机的转子磁通和角速度的估计。
The authors propose an observer for continuous-time nonlinear systems. The observer gain is computed by a Riccati differential equation similar to the extended Kalman filter. They prove that under certain conditions the proposed observer is an exponential observer by choosing an appropriate Lyapunov function. Furthermore, the authors explore some important relations of the proposed observer to robust control theory and H/sub /spl infin//-filtering. To examine the practical usefulness of the proposed observer they applied it to an induction motor for the estimation of the rotor flux and the angular velocity.