Sliding mode control with time-varying hyperplane for AMB systems

Author

Sivrioglu, Selim ; Nonami, Kenzo

Author_Institution

Dept. of Mech. Eng., Chiba Univ., Japan

Volume

3

Issue

1

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

51

Lastpage

59

Abstract

Deals with sliding mode hyperplane design for a class of linear parameter-varying (LPV) plants, the state-space matrices of which are an affine function of time varying physical parameters. The proposed hyperplane, involving a linear matrix inequality (LMI) approach, has continuous dynamics due to scheduling parameters and provides stability and robustness against parametric uncertainties. We have designed a time-varying hyperplane for a rotor-magnetic bearing system with a gyroscopic effect, which can be considered an LPV plant due to parameter dependence on rotational speed. The obtained hyperplane is continuously scheduled with respect to rotational speed. We successfully carried out experiments using a commercially available turbomolecular pump system and results were reasonable and good

Keywords

H^∞ control; compensation; control system synthesis; linear systems; magnetic devices; matrix algebra; robust control; state-space methods; variable structure systems; active magnetic bearings; continuous dynamics; gyroscopic effect; linear matrix inequality approach; linear parameter-varying plants; parametric uncertainties; rotor-magnetic bearing system; sliding mode hyperplane design; state-space matrices; turbomolecular pump system; Control systems; Frequency; Job shop scheduling; Linear matrix inequalities; Magnetic levitation; Robust control; Robust stability; Sliding mode control; Time varying systems; Vectors;

fLanguage

English

Journal_Title

Mechatronics, IEEE/ASME Transactions on

Publisher

ieee

ISSN

1083-4435

Type

jour

DOI

10.1109/3516.662868

Filename

662868