Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 19, Issue 2, Pages 353-365Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2010.2098880
Keywords
H-infinity filter design; measurement quantization; packet dropouts; piecewise-Lyapunov functions
Funding
- Research Grants Council of the Hong Kong Special Administrative Region of China [CityU/113209]
- National Natural Science Foundation of China [60825303, 61004038]
- 973 Project [2009CB320600]
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This paper investigates the problem of H-infinity filtering for a class of nonlinear discrete-time systems with measurement quantization and packet dropouts. Each output is transmitted via an independent communication channel, and the phenomenon of packet dropouts in transmission is governed by an individual random binary distribution, while the quantization errors are treated as sector-bound uncertainties. Based on a piecewise-Lyapunov function, an approach to the design of H-infinity-piecewise filter is proposed such that the filtering-error system is stochastically stable with a guaranteed H-infinity performance. Some slack matrices are introduced to facilitate the filter design procedure by eliminating the coupling between the Lyapunov matrices and the system matrices. The filter parameters can be obtained by solving a set of linear-matrix inequalities (LMIs), which are numerically tractable with commercially available software. Finally, two illustrative examples are provided to show the effectiveness of the proposed method.
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