线性自抗扰控制的对偶性分析EI北大核心CSCD

本文对线性自抗扰控制的结构进行了分析,证明了线性自抗扰控制结构实际上是一种基于观测器的比例–积分–微分(PID)结构的对偶.该结构中状态反馈就是常规(高阶)PID控制,而PID控制中输出的积分和各阶导数由一不依赖于模型的扩张观测器获得.这种对偶性表明PID控制和线性自抗扰控制采用了同一个标准系统作为被控对象,但从不同的角度进行处理.理论及仿真表明,线性自抗扰控制是常规PID控制的扩展,克服了常规PID控制受测量噪声影响的问题,为高阶PID的应用提供了实际可行的实现.

Duality analysis of linear active disturbance rejection control

Structural analysis of linear active disturbance rejection control (LADRC) is investigated in this paper. It is shown that LADRC is the dual of an observer-based proportional-integral-derivative (PID) control structure, where the state feedback is the (high-order) PID control, and the integral and derivatives of the plant output are obtained via a modelindependent extended state observer. The duality reveals that PID and LADRC are using the same canonical system as the controlled plant but treating it with different viewpoints. Theory and simulation results show that LADRC is an extension of the conventional PID structure. It can reduce the effect of sensor noise in the conventional PID and provides a practical realization of high-order PID control.