A Study on Generalized Invariant Subspaces and DisturbanceRejection Problems for Periodic DiscreteTime Systems
Project/Area Number  13650449 
Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Singleyear Grants 
Section  一般 
Research Field 
System engineering

Research Institution  Tokyo Denki University 
Principal Investigator 
OTSUKA Naohisa Tokyo Denki University, College of Science and Engineering, Associate Professor, 理工学部, 助教授 (30185318)

Project Period (FY) 
2001 – 2002

Project Status 
Completed(Fiscal Year 2002)

Budget Amount *help 
¥2,400,000 (Direct Cost : ¥2,400,000)
Fiscal Year 2002 : ¥800,000 (Direct Cost : ¥800,000)
Fiscal Year 2001 : ¥1,600,000 (Direct Cost : ¥1,600,000)

Keywords  Periodic System / Invariant Subspaces / Geometric Approach / DisturbanceRejection Problems 
Research Abstract 
The project of this study consists of the following five parts. (1) The first study is to investigate about the minimal dimension of dynamic compensator which solves disturbancerejection problems in the framework of the socalled geometric approach. (2) The second study is to introduce the concepts of the generalized invariant subspaces and to investigate the properties of those subspaces for linear uncertain periodic systems. (3) The third study is to formulate the disturbancerejection problems with state and / or static output feedback for linear uncertain periodic systems and to obtain the solvability conditions for the problems. (4) The fourth study is to introduce the concepts of generalized (C(k), A(k), B(k))pair and to investigate the properties of that for linear uncertain periodic systems. (5) The fifth study is to formulate the disturbancerejection problem with dynamic compensator for linear uncertain periodic systems and to obtain the solvability conditions for the problem. As results of the above studies, some concepts of generalized invariant subspaces and generalized (C(k), A(k), B(k))pairs for uncertain linear periodic systems were introduced and their properties were investigated. Further, the disturbancerejection problems with state feedback, output feedback and dynamic compensators for uncertain linear periodic systems were formulated and some solvability conditions were given, respectively.

Report
(3results)
Research Products
(14results)