一种带预载继电反馈下时延系统稳定性判据

The Stability Condition for Time-delay System under Preload Relay Feedback

本文旨在建立一阶纯积分时延系统在预载继电反馈下的稳定性判据。继电反馈广泛应用于系统辨识、控制参数自整定,并且在继电反馈上并联一个增益控制,形成带预载的继电反馈系统,能够加快系统的动态响应。本文通过继电反馈下系统响应与阶跃响应的有机联系,建立了一阶时延纯积分系统在阶跃输入下的稳定性判据,并通过仿真验证,验证了方法的有效性。

This paper aims to establish the stability criterion of a first order pure integral time delay system under preload relay feedback.Relay feedback is widely used in system identification and control parameter self-tuning, and a gain control is connected to the relay feedback to form a relay feedback system with preload, which can speed up the dynamic response of the system.In this paper, through the organic relation between the system response and the step response under the relay feedback, the stability criterion of the first order time-delay pure integral system under the step input is established, and the effectiveness of the method is verified by simulation.