H Filtering for Markov Jump Systems with Mixed Modes

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Abstract:

In this study, H_infinity filtering problem for a class of stochastic Markov jump systems is investigated. The system mode is assumed to be different from the delay mode. 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 disturbance attenuation level. By using a mode-dependent Lyapunov functional, mixed mode-dependent sufficient condition on stochastic stability is formulated in terms of linear matrix inequalities. Based on the stochastic stability criterion, an H_infinity filter is developed.

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Periodical:

Advanced Materials Research (Volumes 706-708)

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585-588

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Online since:

June 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Zhang, H. Yan, J. Liu et al.:Robust filters for Markovian jump linear systems under sampled measurements, J. Math. Anal. Appl. Vol. 356(2009), pp.382-392.

DOI: 10.1016/j.jmaa.2009.03.027

Google Scholar

[2] Z.G. Wu, H.Y. Su, J. Chu: Delay-dependent filtering for singular Markovian jump time-delay systems, Signal Process. Vol.90(2010), pp.1815-1824.

DOI: 10.1016/j.sigpro.2009.11.029

Google Scholar

[3] A.H. Abolmasoumi, H.R. Momeni: Robust Observer-based Control of a Markovian Jump System with Different Delay and System Modes, Int. J. Control, Automation, Syst. Vol. 9 (2011), pp.768-776.

DOI: 10.1007/s12555-011-0419-5

Google Scholar

[4] Y. Ding, H. Zhu, S. Zhong et al.: Filtering-based fault detection for stochastic Markovian jump system with distributed time-varying delays and mixed modes, Journal of Applied Mathematics Vol 2012(2012), Paper ID: 524271.

DOI: 10.1155/2012/524271

Google Scholar