Doostdar Fatemeh, Mojallali Hamed
Electrical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, Iran.
Electrical Engineering Department, Faculty of Engineering, University of Guilan, Rasht, Iran; Center of Excellence for Mathematical Modeling, Optimization and Combinational Computing(MMOCC), University of Guilan, Rasht, Iran.
ISA Trans. 2022 Feb;121:140-146. doi: 10.1016/j.isatra.2021.03.033. Epub 2021 Mar 30.
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.
本文提出了一种基于反步法和主动干扰抑制控制（ADRC）的组合分数阶跟踪控制器，用于控制不确定分数阶系统（FOS）。该方法由两部分构成：首先，通过分数阶扩展状态观测器（FO-ESO）估计所有内部和外部不确定性。其次，采用分数阶反步法确定控制律，并使系统达到期望的控制目标。利用分数阶类李雅普诺夫引理验证了控制系统的稳定性，两个数值仿真结果证实了所提出的基于ADRC的组合反步控制器的有效性。
