研究一类同时具有随机观测滞后和丢失的网络控制系统鲁棒H∞滤波问题.网络建模采用新近同时描述随机一步时滞和数据包丢失的模型,基于Lyapunov理论和线性矩阵不等式技术设计系统的满阶滤波器,减小了状态增广带来的计算负担,同时引入松弛变量使Lyapunov矩阵和系统矩阵分离,降低结果的保守性,得到了使滤波误差系统在均方意义下鲁棒指数稳定并具有给定H∞性能的一个LMI形式的充分条件.仿真结果验证了该方法有效性.
The robust H-infinity filtering problem is studied for a class of networked control systems (NCSs) with random delayed and missing measurements. The recent model of NCSs is adopted to describe the random one-step trans- mission delay and possible packet dropouts, simultaneously. A full-order filter is designed based on Lyapunov theory and the linear matrix inequality (LMI) technique which can reduce the computational burden involved in the state augmenta- tion method. Meanwhile, the slack matrix is introduced to separate the system matrix and the Lyapunov matrix, and a less conservative result is obtained. An LMI-based sufficient condition is established such that the filtering error system is robustly exponentially stable in the sense of mean square and achieves the prescribed H-infinity disturbance attenuation level. Simulation results are given to illustrate the effectiveness of the proposed method.