Controller design of linear periodic time-varying systems

Author

Balas, Mark J. ; Jae Lee, Yung

Author_Institution

Dept. of Aerosp. Eng. Sci., Colorado Univ., Boulder, CO, USA

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

2667

Abstract

The control problems associated with the linear periodic time-varying system (LPTS) are quite challenging because the time-varying eigenvalues of the periodic matrix can not determine the stability of the system. In the paper, an approach is developed to design time-varying controllers for LPTS. For this purpose, the well known Liapunov-Floquet transformation theory is utilized and time-varying feedback gains are calculated based on a transformed time-invariant system. The effectiveness of the proposed technique is demonstrated through numerical simulation

Keywords

control system synthesis; eigenvalues and eigenfunctions; feedback; linear systems; matrix algebra; stability; time-varying systems; Liapunov-Floquet transformation theory; controller design; linear periodic time-varying systems; periodic matrix; time-varying controllers; time-varying eigenvalues; time-varying feedback gains; Aerospace engineering; Blades; Control systems; Eigenvalues and eigenfunctions; Equations; Numerical simulation; Output feedback; Stability; State feedback; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611940

Filename

611940