A Study on Generalized Invariant Subspaces and Robust Disturbance-Rejection Problems

广义不变子空间与鲁棒抗扰问题的研究

基本信息

批准号：
11650408
负责人：
OTSUKA Naohisa
金额：
$ 1.54万
依托单位：
Tokyo Denki University (2000)University of Tsukuba (1999)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2000
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650408/
关键词：
Invariant Subspaces Uncertain Systems Robustness Disturbance-Rejection

项目摘要

The project of this study consists of the following five parts.(1) The first study is to introduce the concepts of generalized invariant subspaces for uncertain linear finite-dimensional systems and to investigate the relationship between the special finite set of linear systems and a given uncertain linear system in the framework of the so-called geometric approach.(2) The second study is to investigate some fundamental properties concerning the generalized invariant subspaces and to formulate the disturbance-rejection problems with output feedback and / or dynamic compensator. Further, it is to obtain the solvability conditions for the problems.(3) The third study is to introduce the concepts of generalized invariant subspaces for uncertain linear infinite-dimensional systems and to investigate their properties.(4) The fourth study is to formulate the disturbance-rejection problems with state and / or output feedback for infinite-dimensional systems and to obtain the solvability conditions for the problems.(5) The fifth study is to formulate the disturbance-rejection problem with dynamic compensator for infinite-dimensional systems and to obtain the solvability conditions for the problem.As results of the above studies, some generalized invariant subspaces for uncertain linear finite- and/or infinite-dimensional systems were introduced, respectively and their properties were investigated.Further, the disturbance-rejection problems with state feedback, output feedback and dynamic compensator were formulated and some solvability conditions were given.

这项研究的项目由以下五个部分组成。（1）第一项研究是为了介绍不确定的线性有限维系统的广义不变子空间的概念，并研究了特殊有限的线性系统和给定的不确定线性系统之间的关系，以调查第二个研究的框架。输出反馈和 /或动态补偿器的干扰 - 拒绝问题。（3）（3）第三项研究是介绍不确定的不确定线性无限二维系统的广义不变子空间的概念，并调查其属性。（4）第四研究是为了获得无限程度的系统和索尔特（FIF）的索尔特（FIF soluttion cormittion and soluctions for Solversional and for solvection and sore the Solverition and fif fif the Solvers and fif the Solvers and fif the Solvers and fif the Solvers the Solvers and fif the Solvers and fif the Solververv。无限维系统的动态补偿器的干扰 - 拒绝问题并获得了问题的可溶性条件。根据上述研究的结果，研究了一些不确定的线性有限和/或无限二维系统的广义不变子空间，并研究了且范围的性质及其性能。填充了一些扰动式和动态的求职者。