永磁同步电机的分数阶全局快速滑模控制

摘要

A new globAl fAst sliding mode control scheme bAsed on frActionAl cAlculus wAs proposed for A clAss of high-order nonlineAr systems. The method integrAtes the AdvAntAges of frActionAl cAlculus theory And sliding mode vAriAble structure control. FrActionAl-order differentiAl And integrAl cAlculus is used to design globAl fAst sliding plAne,And is Applied to velocity control design of permAnent mAgnet synchronous motor(PMSM). The study not only AccelerAtes the convergence speed,weAkens the chAttering phenomenon,but Also Achieves strong robustness with externAl disturbAnces And pArAmeter perturbAtion. SimulAted results indicAte thAt the proposed method cAn ef-fectively ensure stronger robustness,fAster performAnce And better stAbility of PMSM.%针对一类高阶非线性系统，提出一种分数阶全局快速滑模控制策略。融合分数阶微积分理论与滑模变结构控制方法的优点，利用分数阶微积分算子设计滑平面，并应用于永磁同步电机（ PMSM）速度控制器的设计，不仅加快了系统状态的收敛速度，削弱了系统的抖振，并且对外部干扰及参数摄动具有较强的鲁棒性。仿真结果表明，本文提出的分数阶滑模控制方法能够有效确保 PMSM 的鲁棒性、快速性和稳定性。