Temporal auto-tuning a pid controller of a slave device of a time-sensitive network to a master device

A system for auto-tuning a time function of a proportional, derivative, and integral (PID) controller of a slave device to synchronize with a time function of a master device, the system comprising:the PID controller of the slave device that uses the time function that is dependent upon a combination of values of a proportional constant, a derivative constant, and an integral constant of the PID controller;the master device in communication with the slave device and comprising the time function of the master device;

• andan auto-tuner in communication with the master device and the slave device, the auto-tuner having at least one computer processor and executable computer-readable instructions configured to:continually obtain a master offset time representative of a difference between the time function of the slave device and the time function of the master device;select, in the PID controller, multiple combinations of values of the proportional constant, the derivative constant, and the integral constant;
• measure, for each combination of values of the multiple combinations of values, a synchronization time representative of an amount of time taken by the PID controller to reduce the master offset time to a stable level at or below a first designated master offset time threshold;
• select, for the PID controller, a preferred combination of values from the multiple combinations of values that corresponds to the synchronization time that is equal to or less than a first designated synchronization time threshold and the master offset time at a stable level that is equal to or less than the first designated master offset time threshold;
• and automatically apply, in the PID controller, the preferred combination of values so that the time function of the PID controller corresponding to the slave device is synchronized to the time function of the master device such that the master offset time is equal to or less than the first designated master offset time threshold during operation of the slave device and the master device.