具有初始状态和扰动单独约束的集隶属度估计

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2021-07-30 DOI:10.15826/umj.2021.1.012

P. Yurovskikh

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引用次数: 0

摘要

我们考虑一个线性非平稳系统的集隶属度估计问题，该系统的初始状态属于紧集，观测方程中的不确定扰动受到整体约束。我们证明了在动力学方程中不存在扰动的情况下，系统的精确信息集可以用一组外椭球来近似。线性系统有三个例子。两个例子说明了本文的主要定理，后一个例子表明了将该定理推广到动力学方程中有扰动情况的可能性。

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SET MEMBERSHIP ESTIMATION WITH A SEPARATE RESTRICTION ON INITIAL STATE AND DISTURBANCES

We consider a set membership estimation problem for linear non-stationary systems for which initial states belong to a compact set and uncertain disturbances in an observation equation are integrally restricted. We provethat the exact information set of the system can be approximated by a set of external ellipsoids in the absence of disturbances in the dynamic equation.There are three examples of linear systems. Two examples illustrate the main theorem of the paper, the latter one shows the possibility of generalizing the theorem to the case with disturbances in the dynamic equation.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks