中立时变时滞系统的稳定性与H∞滤波器设计

Stability analysis and H_∞ filtering for neutral systems with time-varying delays

研究一类中立时变时滞系统的稳定性和H∞滤波器设计问题.通过构建一个新的李雅普诺夫泛函,采用新的积分不等式方法和交互式凸组合方法,得到了该中立时变时滞系统线性矩阵不等式形式的稳定性判据,给出了中立时变时滞系统H∞滤波器的设计方法.仿真实例表明,采用提出的上述方法得到的结果具有更小的保守性,且所设计的中立时变时滞系统H∞滤波器是有效的.

Stability of the H∞ filtering for a neutral time-varying delay system was studied.By constructing a new Lyapunov functional and employing a new integral inequality method, the reciprocally convex approach, the linear matrix inequality （LMI）-based sufficient conditions of the neutral system with time-varying delays were established.The design method of the H∞ filter for the neutral time-varying delay systems were proposed.The simulation result shows that the obtained result using the proposed method is less conservative and the designed H∞ filtering for the neutral time-varying delay system is effective.