具有区域极点和方差约束的Delta算子系统鲁棒H_∞滤波  

Robust H_∞ filtering for Delta operator formulated systems with circular pole and error variance constraints

作　　者：张端金[1] 吴捷[2] 

机构地区：[1]郑州大学信息工程学院,河南郑州450052 [2]华南理工大学电力学院,广东广州510640

出　　处：《控制与决策》2004年第1期12-16,共5页Control and Decision

基　　金：中国博士后科学基金资助项目([2000]31);河南省自然科学基金资助项目(0311011600).

摘　　要：研究Delta算子不确定系统在误差方差约束和区域极点约束下的鲁棒H∞滤波问题.针对多目标H∞滤波问题,采用代数矩阵不等式方法,提出滤波器的存在条件和显式表达式.所得结果可将连续系统和离散系统的有关结果统一到Delta算子框架.The problem of robust H∞ filtering for the Delta operator formulated uncertain discrete time systems with error variance and circular pole constraints is studied. The system under consideration is subject to norm-bound time-invariant uncertainties in both the state and output matrices. A robust filter is designed to guarantee that the filtering process is JD-stable, the steady-state estimation error variance of each state is not more than the individual prespecified value, and the H∞ norm of the transfer function from noise inputs to error state outputs meets given upper bound. In terms of algebraic matrix inequality approach, such multi-objective H∞ filtering problem is solved, and both the existence conditions and explicit expression of the desired filter are developed. The proposed results bring previous related conclusions of continuous and discrete-time systems into the unified Delta form.

关 键 词：不确定系统 DELTA算子 H∞滤波 极点配置 误差方差约束 区域极点约束 代数矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]