First order plus time delay (FOPTD) models obtained from the cyclic steady state of the relay feedback oscillations can suffer from poor performances for some processes such as first and second order processes with fast parasitic dynamics. Poor FOPTD models are due to high frequency oscillations that activate parasitic dynamics. Dynamic elements such as hysteresis and integrator added in the feedback loop can reduce the oscillation frequencies but they increase the experimental times. Here, to relieve these problems without increasing the experimental time and computational complexity, relay feedback autotuning methods that apply the method of weighted moments to relay feedback transients are proposed. The proposed methods use the same relay feedback tests as the conventional relay feedback methods and are simple to use computationally, providing conservative PI controllers for all the test batch processes and the above first and second order processes with fast parasitic dynamics.

从继电器反馈振荡的循环稳态获得的一阶加时间延迟（FOPTD）模型对于某些过程（例如具有快速寄生动力学的一阶和二阶过程）可能会表现不佳。较差的FOPTD模型是由于激活寄生动态的高频振荡引起的。反馈回路中添加的动态元素（例如磁滞和积分器）可以降低振荡频率，但会增加实验时间。在此，为缓解这些问题而又不增加实验时间和计算复杂性，提出了将加权矩量方法应用于继电器反馈瞬变的继电器反馈自整定方法。所提出的方法使用与常规继电器反馈方法相同的继电器反馈测试，并且易于计算使用，