【摘要】 为实现永磁同步电机（PMSM）转速的快速、稳定控制，提出一种基于改进Sigmoid函数的自抗扰控制（ADRC）方法。首先，对Sigmoid函数进行了分析和改进，引入非线性因子；接着，利用改进Sigmoid函数替代传统非线性函数设计了PMSM调速系统的改进型微分跟踪器（TD）、改进型扩张状态观测器（ESO）和改进型非线性状态误差反馈（NLSEF）控制律，并借助李雅普诺夫（Lyapunov）函数证明了所设计的改进型ESO具有渐进稳定性；随后，证明改进型ADRC误差系统的渐进稳定性；最后，对该策略进行了仿真分析。结果表明：在PMSM调速系统中，改进型ADRC比传统ADRC和PI控制具有更好的动态性能和抗扰性能。更多还原

【Abstract】 In order to achieve fast and stable control of speed of permanent magnet synchronous motor(PMSM),an active disturbance rejection control(ADRC)method based on improved Sigmoid function is proposed. Firstly,the Sigmoid function is analyzed and improved by introducing nonlinear factor. Then,improved tracking differentiator(TD),the improved expansive state observer(ESO)and the improved nonlinear state error feedback(NLSEF)control law of the PMSM speed govering system are designed using the improved Sigmoid function instead of the traditional nonlinear function. And it is proved with the help of Lyapunov function that the designed improved ESO has asymptotic stability. Then,the asymptotic stability of the improved ADRC error system is proved. Finally,the simulation analysis of the strategy is carried out. The results show that the improved ADRC has better dynamic performance and disturbance resistance performance than the traditional ADRC and traditional PI control in the PMSM speed governing system.更多还原