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H ∞ filtering of networked discrete-time systems with random packet losses
- Source :
-
Information Sciences . Nov2009, Vol. 179 Issue 22, p3944-3955. 12p. - Publication Year :
- 2009
-
Abstract
- Abstract: This paper studies the H ∞ filtering problem for networked discrete-time systems with random packet losses. The general multiple-input–multiple-output (MIMO) filtering system is considered. The multiple measurements are transmitted to the remote filter via distinct communication channels, and each measurement loss process is described by a two-state Markov chain. Both the mode-independent and the mode-dependent filters are considered, and the resulting filtering error system is modelled as a discrete-time Markovian system with multiple modes. A necessary and sufficient condition is derived for the filtering error system to be mean-square exponentially stable and achieve a prescribed H ∞ noise attenuation performance. The obtained condition implicitly establishes a relation between the packet loss probability and two parameters, namely, the exponential decay rate of the filtering error system and the H ∞ noise attenuation level. A convex optimization problem is formulated to design the desired filters with minimized H ∞ noise attenuation level bound. Finally, an illustrative example is given to show the effectiveness of the proposed results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00200255
- Volume :
- 179
- Issue :
- 22
- Database :
- Academic Search Index
- Journal :
- Information Sciences
- Publication Type :
- Periodical
- Accession number :
- 44108059
- Full Text :
- https://doi.org/10.1016/j.ins.2009.07.016