基于自适应事件触发的跳变系统故障检测滤波

Adaptive Event-Triggered Fault Detection Filter for Jump Systems

本文讨论了一类基于自适应事件触发机制的离散马尔科夫跳变系统在网络传输下的故障检测滤波器设计问题.对系统测量输出设计自适应事件触发机制,可以减少计算负载或节省有限的网络带宽.使用Bernoulli随机变量来描述网络是否能够成功地接收系统跳变模态,且基于Lyapunov稳定性理论设计了一种部分模态依赖的故障检测滤波器,使残差误差系统均方指数稳定且满足Η_(∞)性能指标,并通过求解线性矩阵不等式得到故障检测滤波器参数,通过仿真例子说明该设计方法的有效性.

This paper deals with the problem of fault detection filter(FDF)for a class of discrete Markovian jump systems with adaptive event-triggered mechanism under network transmission.First,an adaptive event-triggered mechanism is designed for the systematic measurement output,which can reduce the computation load or save limited network bandwidth.Then,Bernoulli stochastic variables are used to describe whether the network can successfully receive the system jump modes.Next,based on the Lyapunov stability theory,a fault detection filter with partially mode-dependent is designed to make the residual error system exponentially mean-square stable and satisfy H_(∞)performance.The parameters of fault detection filter are available by solving the linear matrix inequality(LMI).Finally,a numerical example is given to illustrate the effectiveness of the proposed method.