直流位置伺服系统的二自由度分数阶控制

Two-degrees-of-freedom Fractional Control Method for DC Position Servo System

  • 摘要: 为提高直流位置伺服系统的控制性能,提出了一种2自由度(two degree-of-freedom,2DOF)分数阶控制方法.通过设计一种2DOF控制结构,实现了系统的跟随和抗扰特性的解耦控制;将内模控制(internal model control,IMC)与分数阶控制相结合,选用分数阶滤波器,推导出了跟随控制器和抗扰控制器设计方法;根据控制性能的要求,利用系统截止频率和最大灵敏度指标,实现了2DOF控制器参数的解析整定.仿真实验结果表明,2DOF分数阶控制方法具有良好的位置跟随特性和抗干扰能力.

     

    Abstract: To improve the control performance in DC-position servo systems, we propose a two-degrees-of-freedom (2DOF) fractional-order control method. By designing a 2DOF control structure, we achieve decoupling control of the system's set-point tracking and disturbance rejection responses. Then, we develop a design method for the set-point tracking and disturbance rejection controllers by choosing a fractional-order filter by combining internal model control (IMC) and fractional control. Based on the control performance requirements, we use the system's cut-off frequency and maximum sensitivity index to analytically tune the parameters of the 2DOF controller. Simulation and experimental results show that the fractional-order 2DOF controller has good set-point tracking characteristics and disturbance rejection capability.

     

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