학술논문

Sliding mode control with time-varying hyperplane for AMB systems
Document Type
Periodical
Source
IEEE/ASME Transactions on Mechatronics IEEE/ASME Trans. Mechatron. Mechatronics, IEEE/ASME Transactions on. 3(1):51-59 Mar, 1998
Subject
Power, Energy and Industry Applications
Components, Circuits, Devices and Systems
Sliding mode control
Time varying systems
Control systems
Vectors
Job shop scheduling
Linear matrix inequalities
Robust control
Frequency
Robust stability
Magnetic levitation
Language
ISSN
1083-4435
1941-014X
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.