Robust filtering for jumping systems with mode-dependent delays

Authors:
Peng Shi;Magdi Mahmoud;Sing Kiong Nguang;Abdulla Ismail
Affiliations:
School of Technology, University of Glamorgan, Pontypridd, UK;Canadian International College, El Tagamoa El Khames, New Cairo City, Egypt;Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand;College of Engineering, UAE University, Al-Ain, United Arab Emirates
Venue:
Signal Processing
Year:
2006

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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.