Parameter tuning of the PG initial values for direct model-free adaptive control based on PID tuning methods

For the first-order linear time-invariant (FOLTI) systems, several classic proportional-integral-derivative control (PID) controller parameter tuning methods are introduced for the initial values tuning of the pseudo gradient (PG) in the model-free adaptive control (MFAC) scheme which will change the current situation of trial-and-error selection of the initial MFAC parameters for improving the convenience and acceptability of MFAC application. Finally, numerical simulations verify the effectiveness of the proposed PG initial value tuning method and demonstrate the performance difference between MFAC and PID control when the system parameters and structure of FOLTI systems are changed. © 2023 South China University of Technology. All rights reserved.