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In this paper, we uncover a new connection between standard PI/PID controllers and active disturbance rejection control (ADRC), from which we establish formal conditions of equivalence between the two control schemes. Using the equivalence,…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Momir Stankovic , He Ting , Rafal Madonski

This work proposes a unified control architecture that couples a Reinforcement Learning (RL)-driven controller with a disturbance-rejection Extended State Observer (ESO), complemented by an Event-Triggered Mechanism (ETM) to limit…

Optimization and Control · Mathematics 2026-01-01 Ningwei Bai , Chi Pui Chan , Qichen Yin , Tengyang Gong , Yunda Yan , Zezhi Tang

The extended state observer (ESO) plays an important role in the design of feedback control for nonlinear systems. However, its high-gain nature creates a challenge in engineering practice in cases where the output measurement is corrupted…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Krzysztof Łakomy , Rafal Madonski

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

When the disturbance input matrix is nonlinear, existing disturbance observer design methods rely on the solvability of a partial differential equation or the existence of an output function with a uniformly well-defined disturbance…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Yujie Wang , Xiangru Xu

In this paper, a novel finite - time Nonlinear Extended State Observer (NLESO) is proposed and employed in Active Disturbance Rejection Control (ADRC) to stabilize a nonlinear system against system's uncertainties and discontinuous…

Systems and Control · Computer Science 2019-04-02 Ibraheem Kasim Ibraheem , Amjad J. Humaidi

Considering the control problem for nonlinear uncertain systems, the tolerable range of uncertain control input gain is a fundamental issue. The paper presents the necessary and sufficient condition for the well-performed closed-loop system…

Systems and Control · Electrical Eng. & Systems 2020-06-23 Sen Chen , Yi Huang , Zhi-liang Zhao

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

The periodic signal tracking and the unknown disturbance rejection under limited communication resources are main important issues in many physical systems and practical applications. The control of such systems has some challenges such as…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Mohammed Soliman , Abdul-Wahid A. Saif

To foster the adoption of active disturbance rejection control (ADRC) and support its deployment even on low-cost embedded systems, this article introduces the most efficient implementation of linear discrete-time ADRC to date. While…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Gernot Herbst

In this paper, we propose a novel framework for disturbance rejection in a class of nonautonomous nonlinear systems affected by trigonometric-polynomial disturbances. The core of our approach is the design of a canonical internal model that…

Optimization and Control · Mathematics 2026-01-15 Changran He , Jie Huang

Model uncertainty presents significant challenges in vibration suppression of multi-inertia systems, as these systems often rely on inaccurate nominal mathematical models due to system identification errors or unmodeled dynamics. An…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Fan Zhang , Jinfeng Chen , Yu Hu , Zhiqiang Gao , Ge Lv , Qin Lin

Control systems are inevitably affected by external disturbances, and a major objective of the control design is to attenuate or eliminate their adverse effects on the system performance. This paper presents a disturbance rejection approach…

Systems and Control · Electrical Eng. & Systems 2020-07-30 Zhitao Li , Amin Vahidi-Moghaddam , Hamidreza Modares , Jinsheng Sun

Practical implementations of active disturbance rejection control (ADRC) will almost always take place in discretized form. Since applications may have quite different needs regarding their discrete-time controllers, this article summarizes…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Gernot Herbst , Rafal Madonski

This paper presents a systematic design of an active disturbance rejection control (ADRC) system for unmanned tracked vehicles (UTVs) in leader-follow formation. Two ADRC controllers are designed for the lateral and the longitudinal…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Salem-Bilal Amokrane , Mohammed Zouaoui Laidouni , Touati Adli , Rafal Madonski , Momir Stanković

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

This paper presents some recent algorithms developed by the authors for real-time adaptive active noise (AANC) control systems. These algorithms address some of the common challenges faced by AANC systems, such as speaker saturation, system…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Woon-Seng Gan , Dongyuan Shi , Xiaoyi Shen

This article presents a tracking control framework enhanced by an extended state observer for a rotorcraft aerial vehicle modeled as a rigid body in three-dimensional translational and rotational motions. The system is considered as an…

Optimization and Control · Mathematics 2023-06-16 Ningshan Wang , Reza Hamrah , Amit K. Sanyal , Mark N. Glauser

This paper proposes a new algorithm for compensating external disturbances for class of multi-channel linear systems. The solution to this problem is based on the use of the internal model principle and the extended error adaptation…

Systems and Control · Electrical Eng. & Systems 2023-10-12 V. H. Bui , A. A. Margun

To support the adoption of active disturbance rejection control (ADRC) in industrial practice, this article aims at improving both understanding and implementation of ADRC using traditional means, in particular via transfer functions and a…

Systems and Control · Electrical Eng. & Systems 2024-08-01 Gernot Herbst