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.
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