Robustness of controllability and observability of continuous linear time-varying systems with parameter perturbations

Author

Chung, Dohyoung ; Park, Chan Gook ; Lee, Jang Gyu

Author_Institution

Samsung Electron. Co. Ltd., Seoul, South Korea

Volume

44

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

1919

Lastpage

1923

Abstract

The controllability and the observability of continuous linear time-varying systems with norm-bounded parameter perturbations are analyzed. The sufficient conditions which ensure the controllability of the perturbed system are presented by using the derived state transition matrix relationship between the nominal system and the perturbed system. The proposed sufficient conditions allow the evaluation of controllability under the norm-bounded parameter perturbations. The robustness of the observability is also studied for continuous linear time varying systems with norm-bounded parameter perturbations, and the corresponding sufficient conditions are provided

Keywords

continuous time systems; controllability; linear systems; observability; robust control; time-varying systems; continuous linear time-varying systems; parameter perturbations; robustness; state transition matrix relationship; sufficient conditions; Automatic control; Control systems; Controllability; Linear systems; Observability; Robust control; Robustness; Stability; Sufficient conditions; Time varying systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.793737

Filename

793737