Robust H∞ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts
Robust H∞ Filtering for a Class of Nonlinear Networked Systems With Multiple Stochastic Communication Delays and Packet Dropouts
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DOI：
10.1109/tsp.2009.2038965
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发表时间：
2010-04-01
影响因子：
5.4
通讯作者：
Gao, Huijun
中科院分区：
文献类型：
--
作者：
Dong, Hongli;Wang, Zidong;Gao, Huijun
研究了一类同时具有多个随机时变通信时延和多个丢包的不确定非线性网络系统的鲁棒H ∞滤波问题。引入一个相互独立但服从伯努利分布的随机变量序列来描述随机发生的通信延迟。数据包丢失现象以随机方式发生，每个传感器的发生概率由满足区间[0 1]中的一定概率分布的单个随机变量决定。所考虑的离散时间系统也受到参数不确定性，状态依赖的随机干扰和扇区有界的非线性。我们的目标是设计一个线性全阶滤波器，使估计误差在均方指数收敛到零，同时通过H ∞性能指标将干扰抑制衰减约束到给定的水平。进行了深入的随机分析，以获得足够的条件，以确保指数稳定性以及规定的H ∞性能的整体滤波误差动态，在存在随机延迟，随机辍学，非线性，和参数的不确定性。这些条件的特点是一组线性矩阵不等式（LMI）的可行性，然后给出所需的滤波器参数的显式表达式。仿真结果证明了本文提出的滤波器设计技术的有效性。
In this paper, the robust H-infinity filtering problem is studied for a class of uncertain nonlinear networked systems with both multiple stochastic time-varying communication delays and multiple packet dropouts. A sequence of random variables, all of which are mutually independent but obey Bernoulli distribution, are introduced to account for the randomly occurred communication delays. The packet dropout phenomenon occurs in a random way and the occurrence probability for each sensor is governed by an individual random variable satisfying a certain probabilistic distribution in the interval [0 1]. The discrete-time system under consideration is also subject to parameter uncertainties, state-dependent stochastic disturbances and sector-bounded nonlinearities. We aim to design a linear full-order filter such that the estimation error converges to zero exponentially in the mean square while the disturbance rejection attenuation is constrained to a give level by means of the H-infinity performance index. Intensive stochastic analysis is carried out to obtain sufficient conditions for ensuring the exponential stability as well as prescribed H-infinity performance for the overall filtering error dynamics, in the presence of random delays, random dropouts, nonlinearities, and the parameter uncertainties. These conditions are characterized in terms of the feasibility of a set of linear matrix inequalities (LMIs), and then the explicit expression is given for the desired filter parameters. Simulation results are employed to demonstrate the effectiveness of the proposed filter design technique in this paper.