针对网络环境下的一类同时具有测量数据和控制数据丢失的线性离散大系统, 研究其$H_{\mathrm{\infty }}$状态反馈控制器设计问题. 大系统由$N$ 个线性离散关联子系统构成, 假设测量数据和控制数据丢失满足已知概率的Bernoulli分布, 采用线性矩阵不等式方法给出了 $H_{\mathrm{\infty }}$控制器存在的充分条件, 所设计的控制器使得闭环系统均方指数稳定且满足指定的$H_{\mathrm{\infty }}$ 性能指标.最后通过仿真例子说明该方法的有效性.

Based on networks, a state feedback $H_{\mathrm{\infty }}$controller design for a class of linear discrete-time large-scale system with both measurement data and control data missing simultaneously is considered in this paper. The large-scale system was modeled as interconnection of $N$ linear discrete-time subsystems. The occurrence of measurement data and control data missing is assumed to be a Bernoulli distributed sequence with known probability. Sufficient conditions for the existence of a $H_{\mathrm{\infty }}$ controller are derived in terms of linear matrix inequality(LMI), such that the closed-loop system exponentially stable in the sense of mean square and a prescribed $H_{\mathrm{\infty }}$ performance is guaranteed. A numerical example is also provided to demonstrate the validity of the proposed design approach.%English内容