欧拉算子系统柔性变结构控制器设计

Design of Flexible Variable Structure Controller for Euler Operator System

针对带有不确定参数的模拟信号系统,提出了一种基于Sigmoid函数的饱和变速趋近律方法,设计了欧拉算子柔性变结构控制器。基于欧拉算子采样原理,将模拟信号系统和采样信号系统的变结构控制器设计统一到欧拉算子系统。该柔性变结构控制器在采样频率很高时,其稳定性仍与相应的模拟信号系统保持一致。给出了一个有源电力滤波器仿真实例,比较基于指数趋近律方法设计的变结构控制器,该柔性变结构控制器的抖振幅度较小,基波电流有良好的跟踪补偿。

Aiming at Euler operator system with uncertain parameters, a novel reaching law method, named saturated variable rate reaching law, is proposed based on the sigmoid function, and a flexible variable structure controller is designed based on saturated variable rate reaching law in this paper. By the designed variable structure controller, the analog signal system and sampling signal system can be unified into the Euler operator system based on the principle of Euler operator sampling. When sampling frequency is very high, the flexible variable structure controller can make the stability of the control system be closed to the original analog signal system. A simulation example of active power filter is given to demonstrate the application of the controller. Compared to variable structure controller based on exponential reaching law, the proposed flexible variable structure controller can reduce the chattering, and has a good compensation of fundamental current.