基于多胞体-椭球双滤波的时变参数系统建模方法

doi:10.16182/j.issn1004731x.joss.20-0727

系统仿真学报 ›› 2020, Vol. 32 ›› Issue (11): 2084-2092.doi: 10.16182/j.issn1004731x.joss.20-0727

基于多胞体-椭球双滤波的时变参数系统建模方法

王子赟, 王培宇, 占雅聪

江南大学物联网技术应用教育部工程研究中心,江苏无锡 214122

收稿日期:2020-09-21 修回日期:2020-10-12 出版日期:2020-11-18 发布日期:2020-11-17
作者简介:王子赟(1989-),男,江西抚州,博士生,副教授,研究方向为滤波分析理论和复杂系统建模与故障诊断。
基金资助:
国家重点研发计划(2020YFB1710603),国家自然科学基金(61802150,61973138),中国博士后科学基金面上项目(2018M642161),江苏省食品先进制造装备技术重点实验室开放课题(FM-2019-07)

Time-varying parameter system modeling method based on zonotope-ellipsoid double filtering

Wang Ziyun, Wang Peiyu, Zhan Yacong

Engineering Research Center of Internet of Things Technology Applications (Ministry of Education),Jiangnan University,Wuxi 214122,China

Received:2020-09-21 Revised:2020-10-12 Online:2020-11-18 Published:2020-11-17

摘要/Abstract

摘要： 传统的采用全对称多胞体作为参数可行集的系统建模方法,容易因全对称多胞体形状矩阵维数不断增加导致算法的计算复杂度过大。提出一种基于多胞体-椭球双滤波的时变参数系统建模方法,考虑参数时变情况,在与约束带相交迭代的过程中选择体积最小全对称多胞体,变换全对称多胞体形状矩阵后对其降维分解而不是仅仅直接求扩展形状矩阵的行总和,进而降低多胞体空间变换带来的算法保守性。利用奇异值分解重新推导降维后的多胞体形状矩阵,使得多胞体形状矩阵始终保持与参数相同的维数,从而降低系统建模方法的运算复杂度。

关键词: 系统建模, 时变参数系统, 多胞体, 滤波, 降维

Abstract: The traditional system modeling method using zonotopes as the feasible parameter sets islikely to increase the computational complexity of the algorithm due to the increasing dimensions of the zonotope shape matrix. This paper proposes a time-varying parameter modeling systems method based on zonotope-ellipsoid double filtering technique. Considering the time-varying parameters, a zonotope with the minimum volume is obtained during the iterations of the intersection with the constraint strip. After transforming the shape matrix of the zonotope, the dimensionality reduction is performed, instead of directly finding the row sum of the extended shape matrix, to reduce the algorithm conservativeness originated from the zonotopic space transformation. Singular value decomposition is used to re-derive the dimensionality-reduced zonotopic shape matrix, so that it can maintain the same dimension as the identification parameter vector and reducedthe computational complexity of the modeling algorithm.

Key words: system modeling, time-varying parameter system, zonotope, filtering, dimensional reduction

中图分类号:

TP273

王子赟, 王培宇, 占雅聪. 基于多胞体-椭球双滤波的时变参数系统建模方法[J]. 系统仿真学报, 2020, 32(11): 2084-2092.

Wang Ziyun, Wang Peiyu, Zhan Yacong. Time-varying parameter system modeling method based on zonotope-ellipsoid double filtering[J]. Journal of System Simulation, 2020, 32(11): 2084-2092.

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基于多胞体-椭球双滤波的时变参数系统建模方法

Time-varying parameter system modeling method based on zonotope-ellipsoid double filtering

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