二维离散系统的H_∞滤波仿真研究  

H_∞ Filtering Simulation Based on 2-D Discrete Systems

作　　者：姜静[1] 董丽鑫 

机构地区：[1]沈阳理工大学信息科学与工程学院,辽宁沈阳110159

出　　处：《沈阳理工大学学报》2015年第1期29-33,共5页Journal of Shenyang Ligong University

摘　　要：基于Roesser模型对二维离散系统的H∞滤波问题进行研究,讨论了二维H∞滤波器的设计方法。针对任意能量范围内的噪声输入,二维H∞滤波器能保证噪声衰减的水平。应用LMI(线性矩阵不等式)方法和黎卡提不等式方法处理二维H∞滤波问题。设计基于观测器的H∞滤波器,最后通过图像处理的相关实例进行结果仿真验证。仿真结果表明,滤波误差系统的频率响应低于指定的H∞噪音衰减水平,滤波效果明显。H∞ filtering problem of 2-D discrete state systems is investigated by Roessermodel,and a linear 2-D filter is designed. 2-D filter guarantees a prescribed level of H∞noise attenuation for any energy bounded noise input. The 2-D H∞ filtering problem issolved by Riccati inequality and LMI approach. Observer-based 2-D H∞ filter is designed,which verifies the related examples image through simulation results. The simulation resultshows that the filtering error system frequency response is below the level of H∞ noise atten-uation and filtering effect is obvious.

关 键 词：二维离散系统 ROESSER模型 H∞滤波器 线性矩阵不等式 黎卡提不等式 

分 类 号：TP29[自动化与计算机技术—检测技术与自动化装置]