Inner and Outer Set-membership State Estimation

Inner and Outer Set-membership State Estimation
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内部和外部集成员状态估计

DOI:
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发表时间:
2016
期刊:
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通讯作者:
L. Jaulin
L. Jaulin
中科院分区:
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文献类型:
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作者:
L. Jaulin

文献摘要

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本文的主要贡献是提供了一种基于分离代数的方法(可能是第一种方法),它可以计算与包含初始状态向量x(0)的初始集合X(0)和形式为f(x(t)),t ∈ R的状态方程相一致的所有状态的集合X(t)的内近似和外近似。作为一个应用,我们考虑的状态估计问题,其中可行的状态向量必须是一致的一些数据区间。
The main contribution of this paper is to provide a method (probably the first), based on separator algebra, which makes it possible to compute an inner and an outer approximations of the set X (t) of all states that are consistent with an initial set X (0) containing the initial state vector x (0) and a state equation of the form ẋ (t) = f (x (t)) , t ∈ R. As an application, we consider the state estimation problem where feasible state vectors have to be consistent with some data intervals.