H^sub [infinity]^ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays

This paper deals with the problem of H ^sub ∞^ filtering for Markovian switching systems. The system under consideration involves discrete and mode-dependent time-varying delays. The aim of this paper is to design a filter such that the filtering error system is stochastically stable with a prescrib...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2014-02, Vol.33 (2), p.347-369
Main Authors: Balasubramaniam, P, Revathi, V M
Format: Article
Language:English
Subjects:
Data transmission
Delay
Filtering
Filtering software
Filtration
Markov analysis
Markov processes
Matlab
Signal processing
Stochastic control theory
Switching
TCP (protocol)
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Summary:This paper deals with the problem of H ^sub ∞^ filtering for Markovian switching systems. The system under consideration involves discrete and mode-dependent time-varying delays. The aim of this paper is to design a filter such that the filtering error system is stochastically stable with a prescribed H ^sub ∞^ disturbance attenuation level. Sufficient conditions for the existence of H ^sub ∞^ filters are expressed in terms of linear matrix inequalities (LMIs), which can be solved by using Matlab LMI control toolbox. Numerical examples are given by including a transmission control protocol (TCP) network model to illustrate the practical importance and effectiveness of the proposed main results. [PUBLICATION ABSTRACT]
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-013-9643-y