摘要
给出了一种永磁同步电机(PMSM)与异结构系统的混沌同步控制方法。首先通过仿射变换和时间尺度变换,将转子磁场定向坐标系下的PMSM模型,变换成一种简单的无量纲模型。之后采用相图和Lyapunov指数的方法,分析了PMSM的混沌动态行为。最后基于Lyapunov稳定性理论,设计非线性状态反馈控制器,对PMSM混沌系统与异结构混沌系统进行同步控制。证明了同步系统是渐近稳定的。仿真结果验证了该方法的有效性。
A chaos synchronization control method between the permanent magnet synchronous motor （PMSM） and different systems was proposed. Firstly, the model of PMSM in the rotor-field-oriented frame was transformed into the simple non-dimensional form via the affine transformation and single time scale transformation. Then, the chaos behaviors of PMSM were analyzed by employing phase portrait and Lyapunov exponents in details. Finally, based on the Lyapunov stability theory, a nonlinear state feedback controller was designed to realize the synchronization between the PMSM chaos system and the different chaos system. The synchronous system is proved to be asymptotically steady. Numerical simulation results show the effectiveness of the proposed method.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2009年第14期4467-4470,4474,共5页
Journal of System Simulation
基金
江苏省高校自然科学基金项目(06KJB510040)
江苏省工业装备数字制造及控制技术重点实验室开放项目(BM2007201)
