Dissipativity-based filtering for fuzzy switched systems with stochastic perturbation
Date
2016
Authors
Shi, P.
Su, X.
Li, F.
Editors
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Journal article
Citation
IEEE Transactions on Automatic Control, 2016; 61(6):1694-1699
Statement of Responsibility
Peng Shi, Xiaojie Su, and Fanbiao Li
Conference Name
Abstract
In this technical note, the problem of the dissipativity-based filtering problem is considered for a class of T-S fuzzy switched systems with stochastic perturbation. Firstly, a sufficient condition of strict dissipativity performance is given to guarantee the mean-square exponential stability for the concerned T-S fuzzy switched system. Then, our attention is focused on the design of a filter to the T-S fuzzy switched system with Brownian motion. By combining the average dwell time technique with the piecewise Lyapunov function technique, the desired fuzzy filters are designed that guarantee the filter error dynamic system to be mean-square exponential stable with a strictly dissipative performance, and the corresponding solvability condition for the fuzzy filter is also presented based on the linearization procedure approach. Finally, an example is provided to illustrate the effectiveness of the proposed dissipativity-based filter technique.
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Dissertation Note
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