Adaptive active disturbance rejection control guaranteeing uniformly ultimate boundedness and simplicity

Zhuo Yun Nie; Bing Zhang; Qing Guo Wang; Rui Juan Liu; Ji Liang Luo

doi:10.1002/rnc.5177

Adaptive active disturbance rejection control guaranteeing uniformly ultimate boundedness and simplicity

Zhuo Yun Nie, Bing Zhang, Qing Guo Wang, Rui Juan Liu, Ji Liang Luo

Electrical and Electronic Engineering Science

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	7278-7294
Number of pages	17
Journal	International Journal of Robust and Nonlinear Control
Volume	30
Issue number	17
DOIs	https://doi.org/10.1002/rnc.5177
Publication status	Published - 25 Nov 2020

Keywords

adaptive control
disturbance rejection
nonlinear system
uniformly ultimate boundedness

ASJC Scopus subject areas

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

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10.1002/rnc.5177

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title = "Adaptive active disturbance rejection control guaranteeing uniformly ultimate boundedness and simplicity",

abstract = "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.",

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author = "Nie, {Zhuo Yun} and Bing Zhang and Wang, {Qing Guo} and Liu, {Rui Juan} and Luo, {Ji Liang}",

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AU - Nie, Zhuo Yun

AU - Zhang, Bing

AU - Wang, Qing Guo

AU - Liu, Rui Juan

AU - Luo, Ji Liang

PY - 2020/11/25

Y1 - 2020/11/25

N2 - 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.

AB - 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.

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Adaptive active disturbance rejection control guaranteeing uniformly ultimate boundedness and simplicity

Abstract

Keywords

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