Decentralised filtering of interconnected discrete-time fuzzy systems with time delays

Hongbin Zhang, Hua Zhong, Chuangyin Dang and Xingwen Liu

International Journal of Systems Science, 2012, vol. 43, issue 8, 1534-1544

Abstract: This article considers the decentralised H∞ filtering of interconnected discrete-time fuzzy systems with time delays based on piecewise Lyapunov–Krasovskii functionals. The fuzzy system consists of J interconnected time-delay discrete-time Takagi–Sugeno fuzzy subsystems and the decentralised H∞ filter is designed for each subsystem. It is shown that the stability with H∞ performance of overall filtering error system can be established if a piecewise Lyapunov–Kroasovskii functional can be constructed, and moreover, the functional can be obtained by solving a set of linear matrix inequalities that are numerically feasible. A simulation example is given to show the effectiveness of the presented approach.

Date: 2012
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DOI: 10.1080/00207721.2010.549246

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