Model-free adaptive fractional order control of stable linear time-varying systems

• Published in: ISA transactions 2017-03, Vol.67, p.193-207
• Main Authors: Yakoub, Z., Amairi, M., Chetoui, M., Saidi, B., Aoun, M.
• Format: Article
• Language: English
• Subjects: Fractional calculus; Linear time-varying system; Model-free adaptive control; Robustness
• ISSN: 0019-0578; 1879-2022
• DOI: 10.1016/j.isatra.2017.01.023

This paper presents a new model-free adaptive fractional order control approach for linear time-varying systems. An online algorithm is proposed to determine some frequency characteristics using a selective filtering and to design a fractional PID controller based on the numerical optimization of the frequency-domain criterion. When the system parameters are time-varying, the controller is updated to keep the same desired performances. The main advantage of the proposed approach is that the controller design depends only on the measured input and output signals of the process. The effectiveness of the proposed method is assessed through a numerical example. •The objective of this paper is the model-free adaptive fractional PID control for stable linear time-varying systems.•The proposed approach is based on a selective filtering to determine some frequency characteristics of the system.•This method improves the robustness of LTV systems.•The control design is done without any parametric identification procedure.•The performances of the proposed scheme are assessed through a numerical example.