H∞ Functional Filtering for Linear Systems With Unknown Inputs

doi:10.1109/TAC.2020.3040714

2021-10-01

PRE

Mohamed Darouach *

Tyrone Fernando

DOI：10.1109/TAC.2020.3040714

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摘要

En 中文

A new method for H-infinity functional filtering for systems with unknown inputs is presented. First, a functional filtering technique is presented, then we show that the dynamic of estimation error can be modeled in the descriptor system form, this formulation makes it possible to describe the dynamic estimation error free of the derivative of the disturbances. The filter parameters are obtained from the bounded real lemma of descriptor systems. The developed approach unifies the design of functional, reduced-order, and full-order filters. Necessary and sufficient conditions for the solvability of the problem are obtained in terms of a set of bilinear matrix inequalities. Under certain conditions these in-equalities can be transformed to a set of linear matrix inequalities. Two numerical examples are presented to illustrate the approach described in this article, the first example concerns the estimation of the state of charge of the lithium-ion battery and the second example highlights the reduced nature of the proposed functional filter.

Keyword:

Descriptor systems

full order

functional filter

linear matrix inequalities (LMI)

lithium-ion battery

reduced order

state of charge (SOC)

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期刊

IEEE Transactions on Automatic Control

IF:

论文数:

1.3W

被引数:

6.7W

机构

University of Western Australia

学者数:

2.9W

论文数: 3.0W

被引数: 46

universite de lorraine

学者数:

1.8W

论文数: 1.4W

被引数: 27

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