New H2 filter for uncertain singular systems using strict LMIs

Magdi S. Mahmoud; Hosam E. Emara-Shabaik

doi:10.1007/s00034-009-9102-y

New H₂ filter for uncertain singular systems using strict LMIs

Magdi S. Mahmoud^*
, Hosam E. Emara-Shabaik

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, the robust H₂ filtering problem for a class of linear singular systems with norm-bounded uncertainties is investigated. A class of linear regular filters, which can be realized in practice, is fully analyzed, and then necessary and sufficient conditions for H₂ performance of the filtered system are provided. It is established that the solution to the filtering design problem can be cast in the format of strict linear matrix inequalities (LMIs). A numerical example is worked out to illustrate the theoretical developments.

Original language	English
Pages (from-to)	665-677
Number of pages	13
Journal	Circuits, Systems, and Signal Processing
Volume	28
Issue number	5
DOIs	https://doi.org/10.1007/s00034-009-9102-y
State	Published - 2009

Keywords

H filter
Robustness
Singular systems
Strict LMIs

ASJC Scopus subject areas

Signal Processing
Applied Mathematics

Access to Document

10.1007/s00034-009-9102-y

Cite this

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title = "New H2 filter for uncertain singular systems using strict LMIs",

abstract = "In this paper, the robust H2 filtering problem for a class of linear singular systems with norm-bounded uncertainties is investigated. A class of linear regular filters, which can be realized in practice, is fully analyzed, and then necessary and sufficient conditions for H2 performance of the filtered system are provided. It is established that the solution to the filtering design problem can be cast in the format of strict linear matrix inequalities (LMIs). A numerical example is worked out to illustrate the theoretical developments.",

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AB - In this paper, the robust H2 filtering problem for a class of linear singular systems with norm-bounded uncertainties is investigated. A class of linear regular filters, which can be realized in practice, is fully analyzed, and then necessary and sufficient conditions for H2 performance of the filtered system are provided. It is established that the solution to the filtering design problem can be cast in the format of strict linear matrix inequalities (LMIs). A numerical example is worked out to illustrate the theoretical developments.

KW - H filter

KW - Robustness

KW - Singular systems

KW - Strict LMIs

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