An ADRC-based backstepping control design for a class of fractional-order systems. (February 2022)

• Record Type: Journal Article
• Authors: Doostdar, Fatemeh; Mojallali, Hamed
• Is Part Of: ISA transactions. Volume 121(2022)
• Page Start: 140
• Page End: 146
• Publication Date: 2022-02
• Subjects: Fractional-order systems and control -- Active disturbance rejection control(ADRC) -- Fractional backstepping method -- Fractional-order extended state observer(FO-ESO); Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2021.03.033
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: A combined fractional tracking controller based on backstepping and active disturbance rejection control (ADRC) is proposed in this work to control uncertain fractional-order systems (FOSs). The proposed method is constructed in two parts: first, all internal and external uncertainties are estimated by a fractional-order extended state observer (FO-ESO). Second, fractional backstepping method is used to determine the control law and lead the system to the desired control objectives. The control system stability is verified by fractional Lyapunov-like lemma and two numerical simulations confirm the efficiency of the proposed combined ADRC-based backstepping controller. Highlights: A combined fractional controller is proposed based on backstepping and active disturbance rejection control. The proposed controller is presented for tracking problem of uncertain fractional-order systems. The estimation of system uncertainties is provided using an extended state observer. The superior performance of the proposed control method is confirmed by simulation results.