参数不确定δ算子系统的鲁棒保成本l_2-l_∞滤波  

Robust l_2-l_∞ Guaranteed Filtering for δ-Operator Systems with Parameter Uncertainties

作　　者：苏初盛[1] 肖民卿[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《青岛科技大学学报（自然科学版）》2013年第1期86-91,共6页Journal of Qingdao University of Science and Technology:Natural Science Edition

基　　金：福建省高校服务海西建设重点项目(1240104)

摘　　要：研究参数不确定δ算子系统鲁棒保成本l2-l∞滤波问题。针对l2-l∞性能这一类扰动抑制度指标,设计滤波器,使滤波误差动态系统是鲁棒渐近稳定的(当外部扰动恒为零时),l2-l∞性能指标上界尽可能的小,同时保证保成本函数具有一定的上界。采用线性矩阵不等式方法,给出了鲁棒保成本l2-l∞滤波器存在的充分条件,进而提出滤波器的设计方法。数值算例验证了该方法的可行性。This paper is concerned with the problem of robust guaranteed l2-l∞ filtering for a-operator systems with parameter uncertainties. The objective is to design a guaran- teed filter which guarantees that the filter error dynamic system is robust asymptotically stable and the upper bound of the l2-l∞ performance index is as small as possible,while the cost function value is a specified upper bound for all admissible uncertainties,Base on linear matrix inequality approach, a sufficient condition for the existence of the filter is presented,and then a design method of such filter is proposed. A numerical example is provided to demonstrate the effectiveness of the proposed method.

关 键 词：δ算子系统 l2-l∞滤波器 滤波误差动态系统 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]