通信受限不确定Delta算子网络系统H∞滤波

研究了一类基于Delta算子的通信受限条件下参数不确定网络系统H∞滤波问题。在通信受限条件下,采用通信序列对网络控制系统进行分析,构建Delta算子描述的不确定系统滤波误差模型。利用线性矩阵不等式和Lyapunov-Krasovskii泛函提出滤波误差系统渐近稳定的充分条件,证明了系统的H∞性能,并给出滤波器的设计方法。数值仿真结果验证了所提方法的有效性。

H∞ filtering for uncertain networked systems with limited communication using Delta operator

The problem of H∞filtering for Delta operator based uncertain networked systems with limited communication is studied. Under the communication constraints, the networked control systems are analyzed by using a communication sequence,and the Delta operator formulated filtering error system with uncertainty is established. The performance analysis of network based H∞ filtering error system is proposed by constructing a suitable Lyapunov Krasovskii functional via Delta operator which includes limited communication. Sufficient conditions of asymptotic stability for the filtering error system are derived in terms of linear matrix inequalities, and the design of H∞ filter is also obtained. A numerical example is given to show the effectiveness of the proposed method.