Robust dissipative filtering for impulsive switched positive systems described by the Fornasini-Marchesini second model

In this paper, the robust dissipative filtering issue is discussed for a class of impulsive switched positive systems described by the Fornasini-Marchesini second model. To be more specific, both lower- and upper-bounding filters are dexterously designed, and sufficient conditions guaranteeing the r...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 359; no. 1; pp. 123 - 144
Main Authors Wang, Jinling, Liang, Jinling, Zhang, Cheng-Tang, Fan, Dongmei
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.01.2022
Elsevier Science Ltd
Subjects
Filtering systems
Filters
Filtration
Kalman filters
Linear programming
Robustness (mathematics)
Switching
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Summary:In this paper, the robust dissipative filtering issue is discussed for a class of impulsive switched positive systems described by the Fornasini-Marchesini second model. To be more specific, both lower- and upper-bounding filters are dexterously designed, and sufficient conditions guaranteeing the resulting filtering error systems to be positive and 2-D (ζ,η)-α-dissipative are given in the form of linear programming. Moreover, the explicit expressions are also provided for the related filter parameters with desired system performance. Finally, the effectiveness of the proposed results is illustrated by a numerical example.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2020.07.051