不确定连续系统的鲁棒H_2/H_∞滤波  

Robust H_2/H_∞ filtering for uncertain continuous systems

作　　者：马清亮[1] 胡昌华[1] 

机构地区：[1]第二炮兵工程学院自动化系,西安710025

出　　处：《控制与决策》2007年第3期318-321,共4页Control and Decision

基　　金：国家自然科学基金项目(69931040)

摘　　要：研究凸多面体不确定连续系统的鲁棒H2/H∞滤波问题.为降低设计的保守性,提出一种新的具有参数依赖Lyapunov函数的鲁棒H2/H∞性能准则.基于该性能准则,推导出鲁棒H2/H∞滤波器存在的充分条件,并将滤波器设计问题转化为具有线性矩阵不等式(LMI)约束的参数优化问题.The problem of robust H2/H∞ filtering for polytopic continuous systems is discussed. To reduce the design conservatism, a robust H2/H∞ performance criteria with parameter-dependent Lyapunov functions is proposed. The sufficient conditions for the existence of robust H2/H∞ filter are presented based on the proposed performance criteria. The problem of filter design is converted into a parameter optimization problem with linear matrix inequality （LMI） constraint.

关 键 词：H2/H∞滤波 鲁棒滤波 参数依赖LYAPUNOV函数 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]