H ∞ Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems

Joint Authors

Zhang, Yuping
Zhu, Hong
Ding, Yucai
Zeng, Yong
Zhong, Shouming

Source

Mathematical Problems in Engineering

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-04

Country of Publication

Egypt

No. of Pages

23

Main Subjects

Civil Engineering

Abstract EN

H ∞ filtering problem for a class of piecewise homogeneous Markovian jump nonlinear systems is investigated.

The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed H∞ disturbance attenuation level.

By using a new mode-dependent Lyapunov-Krasovskii functional, mixed mode-dependent sufficient conditions on stochastic stability are formulated in terms of linear matrix inequalities (LMIs).

Based on this, the mode-dependent filter is obtained.

A numerical example is given to illustrate the effectiveness of the proposed main results.

American Psychological Association (APA)

Ding, Yucai& Zhu, Hong& Zhong, Shouming& Zhang, Yuping& Zeng, Yong. 2012. H ∞ Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1001856

Modern Language Association (MLA)

Ding, Yucai…[et al.]. H ∞ Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-1001856

American Medical Association (AMA)

Ding, Yucai& Zhu, Hong& Zhong, Shouming& Zhang, Yuping& Zeng, Yong. H ∞ Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1001856

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1001856