Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 44, Issue 2, Pages 169-181Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2014.973730
Keywords
missing measurements; time-varying delays; linear matrix inequality; filtering; Lyapunov-Krasovskii functional; randomly occurring nonlinearities
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Funding
- National Natural Science Foundation of China [61374010, 61074129, 61175111]
- Natural Science Foundation of Jiangsu Province of China [BK2012682]
- Qing Lan Project of Jiangsu Province
- 333 Project of Jiangsu Province
- Six Talents Peak Project of Jiangsu Province [DZXX-047]
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In this paper, we are concerned with the robust [GRAPHICS] filtering problem for a class of nonlinear discrete time-delay stochastic systems. The system under consideration involves parameter uncertainties, stochastic disturbances, time-varying delays and sector nonlinearities. Both missing measurements and randomly occurring nonlinearities are described via the binary switching sequences satisfying a conditional probability distribution, and the nonlinearities are assumed to be sector bounded. The problem addressed is the design of a full-order filter such that, for all admissible uncertainties, nonlinearities and time-delays, the dynamics of the filtering error is constrained to be robustly exponentially stable in the mean square, and a prescribed [GRAPHICS] disturbance rejection attenuation level is also guaranteed. By using the Lyapunov stability theory and some new techniques, sufficient conditions are first established to ensure the existence of the desired filtering parameters. Then, the explicit expression of the desired filter gains is described in terms of the solution to a linear matrix inequality. Finally, a numerical example is exploited to show the usefulness of the results derived.
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