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鉴于目前的数字控制系统是离散的,设计了一类具有无穷分布时滞、随机丢失测量的离散系统的非脆弱H_∞滤波器.为了模拟离散系统增益随机变化现象,在滤波器的增益中引入高斯分布的随机变化分量;引入无穷分布时滞,刻画网络控制系统中有限的带宽产生的影响;进一步地,考虑由伯努利分布的白序列描述的随机丢失测量现象.基于李亚普诺夫稳定性理论、随机分析技术及线性矩阵不等式(LMI)技术,得到使整个滤波器增广系统渐近稳定,同时满足性能指标的非脆弱H_∞滤波器存在的充分条件,通过半定程序方法求解滤波器增益.最后,由数值仿真说明研究的有效性.
In view of the discreteness of current digital control systems, a class of non-fragile H_∞ filters for discrete systems with infinite distributed delays and random loss measurements are designed.In order to simulate the random variation of discrete system gain, the gain of filter is introduced Gaussian distributed random variation component, introducing infinite distributed delay and characterizing the limited bandwidth in the networked control system. Furthermore, we consider the random loss measurement phenomenon described by Bernoulli distribution white sequence.Based on the Lyapunov stability Theory, stochastic analysis technique and linear matrix inequality (LMI), sufficient conditions exist to make the entire filter asymptotically stable and meet the performance requirements of non-fragile H_∞ filters. The semi-deterministic method is used to solve the filter Finally, numerical simulation shows the validity of the study.