\(H_\infty\) filtering for discrete-time stochastic systems with nonlinear sensor and time-varying delay (Q1952462)
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scientific article; zbMATH DE number 6168847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H_\infty\) filtering for discrete-time stochastic systems with nonlinear sensor and time-varying delay |
scientific article; zbMATH DE number 6168847 |
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\(H_\infty\) filtering for discrete-time stochastic systems with nonlinear sensor and time-varying delay (English)
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31 May 2013
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The \(H_\infty\) filtering problem for a class of discrete-time stochastic systems with nonlinear sensor and time-varying delay is developed. A new type of Lyapunov-Krasovskii functional is constructed in order to derive some sufficient conditions for the filter in terms of linear matrix inequalities (LMIs), which guarantees a prescribed \(H_\infty\) performance index for the filtering error system. Two numerical examples are provided to illustrate the effectiveness of the proposed filter design method.
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filtering
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discrete-time stochastic systems
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nonlinear sensor
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time-varying delay
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Lyapunov-Krasovskii functional
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asymptotical stability
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