基于Delta算子的时变时延网络系统鲁棒H_∞滤波

Robust H_∞ filtering for networked control systems with time-varying delay via delta operator

研究基于Delta算子的时变时延网络控制系统鲁棒H_∞滤波问题,不确定性存在于状态方程中,并满足范数有界.利用时滞系统理论对系统进行建模,构造滤波误差系统.采用Lyapunov-Krasovskii泛函和线性矩阵不等式的方法,对系统中的不确定性进行处理,并对误差系统的鲁棒H∞性能进行分析,提出一种基于Delta算子的鲁棒H_∞滤波器设计方法及系数表达式.数值实例表明了所提出方法的有效性.

The problem of H_∞ filtering for delta operator formulated systems with time-varying delays and uncertainties is considered.Uncertainties exist in state matrices and satisfy the norm-bounded condition.Firstly, the time-delay system theory is used to establish a system model.The performance analysis of the filtering-error system is proposed by using a Lyapunov-Krasovskii functional.Additionally, sufficient conditions of robust H∞ filtering for the error system are given in terms of linear matrix inequalities, and the H_∞ filter design method is also obtained.Finally, a numerical example is given to illustrate the effectiveness of the proposed method.