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首页> 外文期刊>Fuzzy Systems, IEEE Transactions on >$H_{infty }$ Filtering For Nonlinear Discrete-Time Systems Subject to Quantization and Packet Dropouts
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$H_{infty }$ Filtering For Nonlinear Discrete-Time Systems Subject to Quantization and Packet Dropouts

机译：非线性离散时间系统的$ H_ {infty} $过滤受量化和丢包的影响

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摘要

This paper investigates the problem of $H_{infty }$ 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 $H_{infty }$-piecewise filter is proposed such that the filtering-error system is stochastically stable with a guaranteed $H_{infty }$ 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.
机译：本文研究了一类具有测量量化和数据包丢失的非线性离散时间系统的$ H_ {infty} $过滤问题。每个输出均通过独立的通信通道进行传输，传输过程中数据包丢失的现象由单独的随机二进制分布控制，而量化误差则被视为与扇区相关的不确定性。基于分段Lyapunov函数，提出了一种设计$ H_ {infty} $分段滤波器的方法，以使滤波误差系统具有稳定的随机性并保证了$ H_ {infty} $的性能。引入了一些松弛矩阵，以消除Lyapunov矩阵与系统矩阵之间的耦合，从而简化了滤波器的设计过程。滤波器参数可以通过求解一组线性矩阵不等式（LMI）来获得，这些线性不等式可以用市售软件在数值上处理。最后，提供了两个说明性示例以说明所提出方法的有效性。

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