Time delay system PID controller stabilization method based on data drive

Abstract

Provided is a time delay system PID controller stabilization method based on data drive. The time delay system PID controller stabilization method based on the data drive comprises the steps of firstly using relay identification of multiple frequency points, giving input frequency domain response data of a controlled time delay object and output frequency domain response data of the controlled time delay object, and extracting characteristic parameters; then obtaining the maximum permissible stabilization range of proportional gain k

in a PID controller through necessary conditions of PID stabilization; for a fixed k

value, obtaining a necessary and sufficient condition which can enable a closed-loop system to be stable, and determining a two-dimensional parameter domain which can enable the closed-loop system to be stable and relates to differential gain k<d> in the PID controller and integral gain k in the PID controller; and determining a two-dimensional stabilization domain with a convex polygon characteristic of the (k<d>, k) to ergodic points of each k

through going through the maximum permissible stabilization range of the k

, and obtaining a stabilization set of the PID controller. As long as a control parameter is selected from the obtained stabilization set of the PID controller, the stability of the closed-loop system can be ensured. According to the time delay system PID controller stabilization method based on the data drive, under the condition that a transfer function of the time delay object or a state space model of the time delay object does not need to be obtained, the PID controller stabilization method is offered based on frequency response data, complex calculation processes of pattern identification are avoided, and an approach which is simple and effective is offered for the design of a PID controller without a model time delay system.

Description

technical field [0001] The invention relates to a method used in the technical field of industrial process control, in particular to a method for stabilizing a time-delay system PID controller based on data. Background technique [0002] There is a time-lag phenomenon widely in the industrial production process. The existence of time-lag makes the controlled quantity unable to reflect the disturbance suffered by the system in time, resulting in obvious overshoot, which leads to the deterioration of the stability of the control system and the extension of the adjustment time. It will have a negative impact on the performance of the control system, and even cause system instability, which adds great difficulties to the design and control of the system. Therefore, the control method for the time-delay process has always been an important topic in the field of control research. [0003] In recent decades, many scholars have carried out extensive and in-depth research on the sta...

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Problems solved by technology

Although this method can simply and effectively determine the stable domain of PID control parameters, it is still a graphical method, and the boundary line of the stable domain obtained is an irregular curve, so it is difficult to calculate all the PID control parameters that can stabilize the closed-loop control system. Therefore, it is difficult to be used for online adjustment of PID controller and design of PID controller that meets different performance index requirements.

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