一类模有界非确定连续线性系统的线性弹性滤波  

Resilient Linear Filtering for a Class of Continuous-time Systems with Norm-bounded Uncertainties

作　　者：刘满[1] 谢丛波[1] 董莹[1] 

机构地区：[1]大连民族学院理学院,辽宁大连116605

出　　处：《大连民族学院学报》2008年第5期425-428,440,共5页Journal of Dalian Nationalities University

基　　金：中国博士后科学基金资助项目(20070411070);大连民族学院博士科研启动基金资助项目(20056213)

摘　　要：研究了一类具有模有界的线性连续系统的线性弹性滤波问题,考虑了滤波器增益变更导致的滤波器执行中的不确定影响。弹性滤波器的设计问题可公式化为线性矩阵不等式的凸最优问题,卡尔曼滤波器是本文结果的极限情形,该结论可推广到多重滤波器增益变量情形。The problem of resilient linear filtering for a class of continuous-time systems with norm-bounded uncertainties is investigated.Additive filter gain variations to reflect the imprecision in filter implementation has been considered.The design problem of resilient linear filter is formulated as a convex optimization problem over linear matrix inequalities.The case of resilient Kalman filter can be derived as a limiting procedure.All the results may be easily extended to the case of multiplicative filter gai...

关 键 词：非确定系统 模有界不确定性 弹性滤波 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]