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Asymptotic stabilization of an active magnetic bearing system using LMI-based sliding mode control

Husain, A. R. and Ahmad, Mohamad Noh and Yatim, Abdul Halim Mohd. (2008) Asymptotic stabilization of an active magnetic bearing system using LMI-based sliding mode control. In: Conference of the World-Academy-of-Science-Engineering-and-Technology , 06th - 08th Feb 2008, Cairo, EGYPT.

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Abstract

In this paper, stabilization of an Active Magnetic Bearing (AMB) system with varying rotor speed using Sliding Mode Control (SMC) technique is considered. The gyroscopic effect inherited in the system is proportional to rotor speed in which this nonlinearity effect causes high system instability as the rotor speed increases. Also, transformation of the AMB dynamic model into a new class of uncertain system shows that this gyroscopic effect lies in the mismatched part of the system matrix. Moreover, the current gain parameter is allowed to be varied in a known bound as an uncertainty in the input matrix. SMC design method is proposed in which the sufficient condition that guarantees the global exponential stability of the reduced-order system is represented in Linear Matrix Inequality (LMI). Then, a new chattering-free control law is established such that the system states are driven to reach the switching surface and stay on it thereafter. The performance of the controller applied to the AMB model is demonstrated through simulation works under various system conditions.

Item Type:Conference or Workshop Item (Paper)
Additional Information:ISSN : 1307-6884
Uncontrolled Keywords:Active Magnetic Bearing (AMB), Sliding Mode Control (SMC), Linear Matrix Inequality (LMI), mismatched uncertainty
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Unspecified
Divisions:Electrical Engineering
ID Code:13919
Deposited By: Ms Zalinda Shuratman
Deposited On:26 Aug 2011 04:57
Last Modified:26 Aug 2011 04:57

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