Impulsive control for permanent magnet synchronous motors with uncertainties： LMI approach

A permanent magnet synchronous motor （PMSM） may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which threatens the security and stability of motor-driven operation. Hence, it is important to study methods of controlling or suppressing chaos i...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 1; pp. 160 - 166
Main Author 李东 王时龙 张小洪 杨丹
Format Journal Article
LanguageEnglish
Published IOP Publishing 2010
Subjects
Asymptotic properties
Chaos theory
Criteria
Linear matrix inequalities
LMI方法
Lyapunov functions
Lyapunov函数
Mathematical analysis
Matrices
Matrix methods
Permanent magnets
Retarding
Security
Stability
Synchronous motors
Uncertainty
参数不确定性
永磁同步电动机
永磁同步电机
稳定性判据
线性矩阵不等式
脉冲控制
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/1/010506

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Summary:A permanent magnet synchronous motor （PMSM） may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which threatens the security and stability of motor-driven operation. Hence, it is important to study methods of controlling or suppressing chaos in PMSMs. In this paper, the stability of a PMSM with parameter uncertainties is investigated. After uncertain matrices which represent the variable system parameters are formulated through matrix analysis, a novel asymptotical stability criterion is established by employing the method of Lyapunov functions and linear matrix inequality technology. An example is also given to illustrate the effectiveness of our results.
Bibliography:TP13
TM351
11-5639/O4
permanent magnet synchronous motors, impulsive control, uncertainty, linear matrix inequality
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/1/010506