离散线性系统高阶积分观测器设计  

Multiple-integral observer design for discrete-time linear systems

作　　者：段广仁[1] 吴爱国[1] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,哈尔滨150001

出　　处：《控制与决策》2007年第3期262-267,共6页Control and Decision

基　　金：国家杰出青年基金项目(69925308);长江学者与创新团队计划项目

摘　　要：针对离散线性系统提出一类高阶积分观测器,并且显示这类观测器满足极点配置分离原理,同时给出了这类观测器的存在条件.基于Sylvester矩阵方程的显式参数化通解提出了这类观测器的参数化设计方法.该方法不仅给出了观测器增益矩阵的参数表达式,而且还提供了观测器系统矩阵左特征向量的参数表达式.该设计方法给出了所有的设计自由度,为实现系统的其他性能提供了方便且强有力的工具.数值例子说明了设计过程,并表明了该方法的有效性.A kind of multiple-integral observers is proposed for discrete-time linear systems, which possesses the separation property. The existence condition of such a kind of observers is presented. A parametric design approach is established based on a general prametric solution of the generalized Sylvester matrix equation. This approach provides not only complete paramterizations of all the observer gain matrices but also the parametric expression of left eigenvector matrix of the observer system. All the degrees of design freedom are offered, and convenient and powerful tools are supplied to achieve other performance specifications. A numerial example shows the design procedure and the effectiveness of the proposed approach.

关 键 词：高阶积分观测器 分离原理 参数化方法 自由度 离散线性系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]