The active disturbance rejection control (ADRC) scheme requires a high bandwidth in the extended state observer (ESO), causing heavy noise pollution in the control system. This article develops an effective and simple adaptive ADRC scheme to realize high performance control when ESO bandwidth is limited. The adaptative law is generated by the state tracking error such that all the feedback loops and feedforward channels are activated for active disturbance rejection. An “attached” and “quantified” adaptation is developed to guarantee the easy usage of the proposed scheme. The uniformly ultimate boundedness of all the signals in the closed‐loop system is proved in the sense of Lyapunov theory. Finally, two simulation examples are given to demonstrate the results.

中文翻译：

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自适应主动干扰抑制控制，确保一致的最终有界性和简单性

有源干扰抑制控制（ADRC）方案在扩展状态观察器（ESO）中需要高带宽，从而在控制系统中造成严重的噪声污染。本文开发了一种有效且简单的自适应ADRC方案，以在ESO带宽受限时实现高性能控制。自适应定律是由状态跟踪误差产生的，因此所有反馈回路和前馈通道均被激活以主动抑制干扰。开发了“附加的”和“量化的”改编，以保证所提议方案的简便使用。在李雅普诺夫理论的意义上证明了闭环系统中所有信号的一致极限极限。最后，给出了两个仿真例子来说明结果。