基于改进型指数趋近律的模糊滑模控制

针对传统滑模控制应用在永磁同步电机调速系统中存在转速超调量大、趋近滑模面速度慢、稳定性差、系统抖振等问题，提出一种基于改进型指数趋近律的模糊滑模控制方法。首先，在传统指数趋近律的基础上引入系统状态变量，使系统趋近速度与状态变量的变化相关；其次，通过设置系统状态滑模面与指数项系数的模糊规则，对滑模参数实时整定，使得趋近过程得到动态控制；同时，针对符号函数sgn(s)在切换过程不连续的问题，对其做出改进，使得系统可以平滑切换；最后,仿真结果表明，该方法相比于传统指数趋近律响应速度更快，抗干扰能力更好，动静态性能得到改善，系统的有效性得到验证。

Fuzzy Sliding Mode Control Based on Improved Exponential Reaching Law

Aiming at the problems of large speed overshoot, slow approaching speed, poor stability and system chattering in the application of traditional sliding mode control(SMC) in permanent magnet synchronous motor(PMSM), a fuzzy sliding mode control method based on improved exponential reaching law is proposed. Firstly, the system state variables are introduced on the basis of the traditional exponential reaching law, so that the system reaching speed is related to the change of state variables. Secondly, by setting the fuzzy rules of the system state sliding surface and the exponential coefficient, the sliding mode parameters are adjusted in real time, so that the approaching process is dynamically controlled. At the same time, aiming at the problem that the symbol function sgn(s) is discontinuous in the switching process, it is improved so that the system can switch smoothly. Finally, the simulation results show that the proposed method has faster response speed, better anti-interference ability, better dynamic and static performance than the traditional exponential reaching law, and the effectiveness of the system is verified.