一类不确定中立系统的H_∞滤波器设计  

H_∞ Filter Design for a Class of Uncertain Neutral Systems

作　　者：李会莹[1] 李桂芳[1] 杨成梧[1] 

机构地区：[1]南京理工大学动力工程学院,江苏南京210094

出　　处：《南京理工大学学报》2007年第2期193-199,共7页Journal of Nanjing University of Science and Technology

摘　　要：针对不确定中立系统中含有离散和分布时滞时的鲁棒H∞滤波器的设计问题,提出了一种有效的且具有低保守性的滤波器设计方法。该方法把系统中的范数有界不确定作外部扰动处理,降低了对Lyapunov函数求导时由不等式的放大带来的保守性。所设计的滤波器能够确保滤波误差系统的渐进稳定和H∞范数的界最小。通过解线性矩阵不等式得到可采用的滤波器。数值算例证明了该设计方法的有效性。An efficient and less conservative filter design method is proposed in the design of robust H∞ filter for uncertainty neutral systems with discrete and distributed delays. The norm-bounded uncertainty is regarded as exogenous disturbance, so the conservativeness coming from over-bounding of inequalities is degraded in the derivative of Lyapunov functional. The designed filter guarantees that the filtering system remains asymptotically stable and the bound of H∞ norm is minimized. The admissible filter can be obtained by solving certain linear matrix inequalities, and numerical exampies are provided to illustrate the effectiveness of the design approach.

关 键 词：H∞滤波 中立系统 不确定性 分布时滞 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]