基于多胞体双重滤波的系统状态估计方法
作者:
作者单位:

江南大学

作者简介:

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中图分类号:

TP273

基金项目:

国家高技术研究发展计划(863计划),中国博士后科学基金,国家自然科学基金项目(面上项目,重点项目,重大项目)


The orthotopic double filtering based state estimation algorithm
Author:
Affiliation:

Jiangnan University

Fund Project:

China Postdoctoral Science Foundation,

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    摘要:

    针对未知但有界噪声离散时间状态空间系统,提出了一种基于多胞体双重滤波的系统状态估计方法.\;首先,采用有界误差方法对测量噪声和状态预测过程进行分析,利用正多胞体预测状态集包裹后离散成初始约束条件;随后,根据更新最小边全对称多胞体经过正多胞体紧致包裹后离散成约束条件,与测量方程约束条件组成三重约束;最后,通过求解2n个线性规划问题得到全部状态的上下界, 并获得包裹状态可行集的最紧致正多胞体.\;仿真示例验证了该方法估计离散状态空间系统状态的有效性和准确性.

    Abstract:

    For the unknown but bounded noise discrete-time state space system, a state estimation method based on orthotope filtering is proposed. The bounded error method is first used to analyze the measurement noise and state prediction process, and the prediction state set uses orthotope after being wrapped. Then, it is dispersed into constraints. Due to the updated minimum edge, the zonotope is tightly wrapped by the orthotope before being dispersed into constraints, which form a triple constraint with the measurement equation constraints. The upper and lower states of all states are obtained by solving 2n linear programming problems. The bounds of this method is the most compact orthotope of the feasible set of wrapped states. Simulation examples illustrate the effectiveness and accuracy of the proposed method for estimating the state of discrete state space systems.

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历史
  • 收稿日期:2020-07-15
  • 最后修改日期:2020-10-21
  • 录用日期:2020-11-04
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