On semiglobal stabilizability of antistable systems by saturated linear feedback

Author

Hu, Tingshu ; Lin, Zongli

Author_Institution

Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA

Volume

47

Issue

7

fYear

2002

fDate

7/1/2002 12:00:00 AM

Firstpage

1193

Lastpage

1198

Abstract

It was recently established that a second-order antistable linear system can be semiglobally stabilized on its null controllable region by saturated linear feedback and a higher order linear system with two or more antistable poles can be semiglobally stabilized on its null controllable region by more general bounded feedback laws. We will show in this note that a system with three real-valued antistable poles cannot be semiglobally stabilized on its null controllable region by the simple saturated linear feedback

Keywords

controllability; feedback; linear systems; poles and zeros; stability criteria; antistable poles; bounded feedback laws; high-order linear system; null controllable region; real-valued antistable poles; saturated linear feedback; second-order antistable linear system; semiglobal stabilizability; Adaptive control; Adaptive filters; Adaptive signal processing; Automatic control; Communication system control; Convergence; Feedback; Frequency estimation; Rivers; Robust control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2002.800671

Filename

1017570