H∞ robust controller design of permanent magnet linear synchronous motor based on LMI

CHEN Guofeng, FANG Qiang, LI Jiangxiong
(College of Mechanics, Zhejiang University, Hangzhou 310027, China )

Abstract: Aiming at the problem of the model parameter uncertainties and external disturbance for permanent magnet linear synchronous motor（PMLSM）servo control，as well as guaranteed robust stability and robust performance of the closedloop control system，and the H∞ robust controller was designed based on state feedback in the speedloop and currentloop. The H∞ robust standard design problem was translated to an optimization solution of the linear matrix inequality（LMI） by building the state spacemodel of the servo system，then the optimization H∞ robust controller was solved with Matlab LMI tools.The results indicate that the controller can satisfy strong robustness for model parameter uncertainties and restraint disturbance.
Key words: permaneat maguet linear synchronous motor(PMLSM)； linear matrix inequality（LMI）； H∞ robust control