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An ADRC-based backstepping control design for a class of fractional-order systems
ISA Transactions ( IF 6.3 ) Pub Date : 2021-03-30 , DOI: 10.1016/j.isatra.2021.03.033
Fatemeh Doostdar 1 , Hamed Mojallali 2
Affiliation  

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.



中文翻译:

一类分数阶系统的基于 ADRC 的反推控制设计

在这项工作中,提出了一种基于反步法和主动抗扰控制(ADRC)的组合分数跟踪控制器来控制不确定分数阶系统(FOS)。所提出的方法分为两部分:首先,所有内部和外部不确定性都由分数阶扩展状态观测器(FO-ESO)估计。其次,采用分数反推法确定控制规律,引导系统达到预期的控制目标。控制系统稳定性通过分数李雅普诺夫引理验证,两个数值模拟证实了所提出的基于 ADRC 的组合反步控制器的效率。

更新日期:2021-03-30
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