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Signal Processing
Volume 86, Issue 1, January 2006, Pages 140-152
 
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doi:10.1016/j.sigpro.2005.05.005    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier B.V. All rights reserved.

Robust filtering for jumping systems with mode-dependent delays

Peng Shia, Corresponding Author Contact Information, E-mail The Corresponding Author, Magdi Mahmoudb, E-mail The Corresponding Author, Sing Kiong Nguangc, E-mail The Corresponding Author and Abdulla Ismaild, E-mail The Corresponding Author

aSchool of Technology, University of Glamorgan, Pontypridd, CF37 1DL, UK bCanadian International College, El Tagamoa El Khames, New Cairo City, Egypt cDepartment of Electrical and Computer Engineering, University of Auckland, Private Bag 92019 Auckland, New Zealand dCollege of Engineering, UAE University, P.O. Pox 17555, Al-Ain, United Arab Emirates

Received 18 December 2003; 
revised 29 April 2005; 
accepted 2 May 2005. 
Available online 4 June 2005.

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Abstract

In this paper, the filtering problem for a class of linear uncertain systems with Markovian jump parameters and functional time delay is examined. The uncertainties are time-varying and norm-bounded parametric uncertainties and the delay factor depends on the mode of operation. We provide complete results for robust weak-dependent stochastic stability and robust linear filter design. Then we extend the theoretical development to the case when a prescribed performance measure is desired. All the results are cast into convenient linear matrix inequality (LMI) forms.

Keywords: Markovian jump systems; Functional time delay; Stochastic stability; Robust filtering; View the MathML source filtering; Uncertain parameters

Article Outline

1. Introduction
2. Functional time-delay jumping systems
2.1. Problem formulation
2.2. Linear filtering
3. Design of Markovian filter
3.1. Augmented system
3.2. View the MathML source filtering
4. Conclusions
Acknowledgements
Appendix A. Some basic facts
References

Signal Processing
Volume 86, Issue 1, January 2006, Pages 140-152
 
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