Stabilization of Certain Classes of High-Order Systems Using a Robustness Fopid Controller

EasyChair Preprint 7843

Abstract

This paper presents a design procedure to tune the fractional order FOPID controller that stabilizes a certain class of higher order system. The procedure is based on assimilating an open loop response of higher order system as a first order system with delay. Using Ziegler-Nichols methods and these extensions, the parameters of the classic PID and fractional FOPID [20] correctors will be calculated to determine the closed-loop response. To verify the robustness of the fractional regulator, a random variation of the parameters of the selected third order process will be applied. The proposed approach has been verified by numerical simulation that confirms the effectiveness of the procedure.

Keyphrases: Fractional PID controller, Zeigler-Nichols, delay system, robustness, stability

@booklet{EasyChair:7843,
  author    = {Bilel Kanzari and Adel Taieb and Abdkader Chaari},
  title     = {Stabilization of Certain Classes of High-Order Systems Using a Robustness Fopid Controller},
  howpublished = {EasyChair Preprint 7843},
  year      = {EasyChair, 2022}}