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二自由度自抗扰控制的整定方法

Tuning Method of 2-DOF Active Disturbance Rejection Control

  • 摘要: 针对线性自抗扰控制器(LADRC)的参数整定时带宽法存在控制量增益选择困难、观测器带宽试凑耗时长等问题,提出一种通过设计PI控制器和一阶低通滤波器直接获取LADRC参数的方法。在分析自抗扰控制二自由度等效结构的基础上,推导出其环内控制器与PI控制器的参数对应关系,通过求解特定的一元三次方程得到LADRC控制器参数;以Buck变换器为例,对比分析PI与LADRC受扰动情况下的动态性能,并搭建实验平台,验证理论分析的有效性。结果表明:和PID控制相比,LADRC控制启动过程调节时间减少240 μs,超调量减小56%;加载过程调节时间减小100 μs,超调量减少1.2%;减载过程调节时间减少50 μs。所提整定方法有效提高了系统的动态性能。

     

    Abstract: For the parameter tuning of linear active disturbance rejection controller (LADRC), the bandwidth method has some problems, such as the difficulty of control gain selection and the time-consuming of observer bandwidth trial, etc, a method to obtain LADRC parameters directly by designing PI controller and first-order low-pass filter was proposed. Based on the analysis of two-degree of freedom(2-DOF) equivalent structure of active disturbance rejection control (ADRC), the corresponding relationship between the parameters of in loop controller and PI controller was derived, and the parameters of LADRC controller were obtained by solving the specific cubic equation of one variable. Taking buck converter as an example, the dynamic performances of PI and LADRC under disturbance were analyzed, and an experimental platform was built to verify the effectiveness of theoretical analysis. The results show that compared with PID control, LADRC control can reduce the adjustment time of start-up process by 240 μs, and the overshoot decreased by 56%. During the loading process, the adjustment time is reduced by 100 μs, and the overshoot decreased by 1.2%. In the process of load shedding, the regulating time is reduced by 50 μs. The proposed tuning method can effectively improve the dynamic performance of the system.

     

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