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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| Published in | Chinese physics B Vol. 19; no. 1; pp. 160 - 166 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/19/1/010506 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | 李东 王时龙 张小洪 杨丹 |
| AuthorAffiliation | State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China College of Mathematics and Physics Science, Chongqing University, Chongqing 400030, China College of Software Engineering, Chongqing University, Chongqing 400030, China |
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| Snippet | A permanent magnet synchronous motor （PMSM） may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which... A permanent magnet synchronous motor (PMSM) may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which... |
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| SubjectTerms | 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 |
| Title | Impulsive control for permanent magnet synchronous motors with uncertainties： LMI approach |
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