Copyright © 2005 Elsevier B.V. All rights reserved.
Robust filtering for jumping systems with mode-dependent delays
Received 18 December 2003;
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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; 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.
filtering
- 4. Conclusions
- Acknowledgements
- Appendix A. Some basic facts
- References






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