Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 17, Issue 2, Pages 291-300Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2008.924206
Keywords
Basis-dependent Lyapunov function; H-infinity filter design; intermittent measurements; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems
Funding
- National Natural Science Foundation of China [60825303, 60834003]
- 973 Project [2009CB320600]
- Doctoral Programme of Higher Education of China [20070213084]
- Heilongjiang Outstanding Youth Science Fund [JC200809]
- Postdoctoral Science Foundation of China [200801282]
- Fok Ying Tung Education Foundation [111064]
- HKU CRCG [200707176077]
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This paper is concerned with the problem of H-infinity fuzzy filtering of nonlinear systems with intermittent measurements. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. The measurements transmission from the plant to the filter is assumed to be imperfect, and a stochastic variable satisfying the Bernoulli random binary distribution is utilized to model the phenomenon of the missing measurements. Attention is focused on the design of an H-infinity filter such that the filter error system is stochastically stable and preserves a guaranteed H-infinity performance. A basis-dependent Lyapunov function approach is developed to design the H-infinity filter. By introducing some slack matrix variables, the coupling between the Lyapunov matrix and the system matrices is eliminated, which greatly facilitates the filter-design procedure. The developed theoretical results are in the form of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to show the effectiveness of the proposed approach.
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