Stochastic Filtering of Max-Plus Linear Systems With Bounded Disturbances

被引：11

作者：

Mendes, Rafael Santos ^{[1
]}

Hardouin, Laurent ^{[2
]}

Lhommeau, Mehdi ^{[2
]}

机构：

[1] Univ Estadual Campinas, FEEC, DCA, BR-13083852 Campinas, SP, Brazil

[2] Univ Angers, ISTIA, LARIS, F-49000 Angers, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 09期

基金：

巴西圣保罗研究基金会;

关键词：

Dioid; discrete event dynamics systems; idempotent semirings; max-plus algebra; observer; stochastic filtering; state estimation; MODEL-PREDICTIVE CONTROL; LOOP CONTROL; SPACES;

D O I：

10.1109/TAC.2018.2887353

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The objective of this paper is to propose a filtering strategy for max-plus linear systems with bounded disturbances without the direct calculation of the a posteriori state probability. The strategy is based on the inversion of the expectation of the measure with respect to the state variable. Among the possible solutions, the closest to the prediction is chosen. An algorithm, based on interval propagation, is proposed to solve this problem. Simulations are performed to show the consistence of the proposed methodology with other approaches in the literature.

引用

页码：3706 / 3715

页数：10

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