Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 60, Issue 5, Pages 1250-1263Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2013.2246213
Keywords
Extended dissipativity; Markovian jump systems; mode-dependent filters; mode-independent filters; time-varying delays
Categories
Funding
- Australian Research Council
- National Natural Science Foundation of China [61104117, 61181260514]
- Fundamental Research Funds for the Central Universities [NUST 2011ZDJH06]
- Specialized Research Fund for the Doctoral Program of Higher Education [20113219110026]
- Qing Lan Project
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This paper is concerned with the design of mode-dependent and mode-independent filters for continuous-time linear Markovian jump systems (MJSs) with time-varying delays. Different from the existing studies in the literature, the purpose of this paper is to solve the H-infinity, L-2 - L-infinity, passive and dissipative filtering problems in a unified framework. This purpose is successfully realized by using a new performance index that is referred to as extended dissipativity. The extended dissipative inequality contains several weighting matrices. By tuning the weighting matrices, the extended dissipativity will reduce to the H-infinity performance, L-2 - L-infinity performance, passivity and dissipativity, respectively. Delay-dependent conditions for the analysis of stochastic stability and extended dissipativity for MJSs with time-varying delays are obtained by using a mode-dependent Lyapunov-Krasovskii functional together with a novel integral inequality. Based on these conditions, the design methods for mode-dependent and mode-independent filters are developed based on linear matrix inequalities. The designed filters guarantee that the resulting filtering error system is stochastically stable and extended dissipative for any admissible delays. Finally, the effectiveness of the proposed methods is substantiated with three illustrative examples.
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