H2/H∞ Filtering for Networked Systems with a Kind of Multi-channel Hybrid Network Communication Constraints
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摘要: 针对异构网络中不同类型网络及每个通道在不同时刻所产生的网络诱导延时和数据丢包不同,使得异构网络环境下H2/H∞ 滤波更加困难的新问题,不同于目前广泛研究的单种类型网络环境下的H2/H∞滤波方法,首先,深入分析了异构网络通信特性并给出了数学描述公式,然后,建立了融合多通道异构网络通信约束的滤波误差动态系统综合模型.基于Lyapunov-Krasovskii 理论,证明了在已知有线网络和无线网络分别存在的最长网络诱导延时情况下,所设计的滤波器使得滤波误差动态系统随机稳定且满足给定的H2/H∞ 性能指标.仿真验证该方法可行且有效.Abstract: This paper investigates H2/H∞ filtering for complex multi-channel hybrid networked systems with different network delays and packet dropout in each channel. Unlike the widely existing H2/H∞ filtering methods under single network environment, where multiple signals are encapsulated into single packet and transmitted through one common channel. The characters of hybrid network are firstly analyzed, which are then described by analytical formulations. A comprehensive filtering error dynamic system model which contains multi-channel hybrid network communication constraints is then established. Based on the Lyapunov-Krasovskii theory, the designed filter enables the multi-channel error dynamic system to be stochastically stable and to guarantee a prescribed H2/H∞ performance, under the known maximum network delays of wired and wireless networks. Simulation confirms the efficiency of the proposed method.
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Key words:
- Hybrid network /
- Markov chain /
- H2/H∞ filtering /
- stochastic stability
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