A Nyquist criterion for time-varying periodic systems, with application to a hydraulic test bench

Author

Pommieer, V. ; Sabatier, Jocelyn ; Iturricha, Aitor Garcia ; Oustaloup, Alain

Author_Institution

Univ. Bordeaux I, France

Volume

2

fYear

2002

fDate

2002

Firstpage

1094

Abstract

In this paper, stability results dedicated to sampled periodic systems are applied to a mechanical system the stiffness of which exhibits quick variations: an hydraulic test bench used for mechanical testing of complex structures. To achieve this application, a time-varying w transformation representation of sampled periodic systems is introduced. An extension of the Nyquist criterion to sampled periodic systems is then given. Finally, this theorem is applied to evaluate the stability degree of the hydraulic test bench controlled using CRONE control methodology.

Keywords

Nyquist criterion; electrohydraulic control equipment; hydraulic control equipment; mechanical testing; robust control; time-varying systems; CRONE control methodology; Nyquist criterion; complex structures; electrohydraulic actuator; electrohydraulic test bench; hydraulic test bench; mechanical system; mechanical test; robust control law; sampled periodic systems; stability degree; stability results; time-varying periodic systems; time-varying w transformation representation; Control system synthesis; Control systems; Fourier series; Hydraulic actuators; Mechanical systems; Periodic structures; Stability analysis; System testing; Time varying systems; Velocity control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2002. Proceedings of the 2002 International Conference on

Print_ISBN

0-7803-7386-3

Type

conf

DOI

10.1109/CCA.2002.1038757

Filename

1038757