A digital PID controller based on Grünwald-Letnikov fractional-, variable-order operator
Piotr Oziabło , Dorota Mozyrska , Małgorzata Wyrwas
AbstractThe paper presents an example of implementation of a digital PID controller with Gr¨unwald-Letnikov fractional-, variable-order summations and differences. The method of finding values of orders and parameters Kp, Ki, Kd of such controller for considered plant model is presented. Two summation performance criteria are used to evaluate the results achieved with the usage of fractional-, variable-order PID controller tuned by proposed algorithm. Mentioned criteria are integral squared time weighted error (SSTE) and integral squared time-squared weighted error (SST2E). Additionally the results are compared with the ones obtained with PID controller tuned using Ziegler- Nichols method, PID controller tuned with Matlab pidtune function and PID controller which coefficients were tuned by minimising mentioned SSTE and SST2E errors with Nelder- Mead method (implemented by Matlab fminsearch function).
|Publication size in sheets||0.5|
|Book||24th International Conference on Methods and Models in Automation & Robotics: MMAR 2019, 2019, Institute of Electrical and Electronics Engineers, ISBN 978-1-7281-0932-9, 668 p.|
|Internal identifier||ROC 19-20|
|Score||= 20.0, 26-03-2020, ChapterFromConference|
|Citation count*||1 (2020-03-29)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.