Active disturbance rejection control: Methodology and theoretical analysis

Huang, Yi; Xue, Wenchao

doi:10.1016/j.isatra.2014.03.003

Cited by 752 publications

(404 citation statements)

References 44 publications

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“…Since the variable is not available for feedback, system (14) cannot be stabilized by the standard methods. To overcome this issue, we obtain the following differential equation…”

Section: Proposition 7 ≡ 0 If and Only If ( ) ∈ Mmentioning

confidence: 99%

“…Setting := col( , ), while selecting as the fictitious output, both (14) and (17) are integrated into the following augmented system:̇=…”

Section: Proposition 7 ≡ 0 If and Only If ( ) ∈ Mmentioning

confidence: 99%

“…To this end, we recast the output regulation problem into the active disturbance rejection framework [10,11]. Active disturbance rejection control (ADRC) is a robust control method for systems with large uncertainty and disturbances [10,[12][13][14]. The key idea of the ADRC is to treat a robust control problem as an estimation-rejection problem.…”

Section: Introductionmentioning

confidence: 99%

“…The key idea of the ADRC is to treat a robust control problem as an estimation-rejection problem. More specifically, in the first step, all sorts of discrepancies between the physical system and its nominal mathematical model including parameter variations, unknown nonlinearities, and external disturbances/noises are lumped into a total disturbance term [14]. Next, an estimator referred to as extended state observer (ESO) is applied to estimate the total disturbance and then reject it in a closed-loop framework.…”

Section: Introductionmentioning

confidence: 99%

“…Next, an estimator referred to as extended state observer (ESO) is applied to estimate the total disturbance and then reject it in a closed-loop framework. The active disturbance rejection control offers several promising advantages over the conventional control methods including the following: (1) ADRC is an active robustification method that in comparison to classical robust techniques (based on worst-case analysis) minimizes the conservatism in the design; (2) ADRC can handle large uncertainty/disturbances from both internal and external sources; (3) ADRC does not require involved, accurate system modeling; this feature enables a disturbanceoriented design instead of a model-oriented one [12][13][14]. More details about the ADRC and its various engineering applications can be found in [10,14] and the recent book [13].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Robust Linear Output Regulation Using Extended State Observer

Hosseini-Pishrobat

Keighobadi

Oveisi

et al. 2018

Mathematical Problems in Engineering

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This paper presents a disturbance rejection-based solution to the problem of robust output regulation. The mismatch between the underlying plant and its nominal mathematical model is formulated by two disturbance classes. The first class is assumed to be generated by an autonomous linear system while for the second class no specific dynamical structure is considered. Accordingly, the robustness of the closed-loop system against the first disturbance class is achieved by following the internal model principle. On the other hand, in the framework of disturbance rejection control, an extended state observer (ESO) is designed to approximate and compensate for the second class, i.e., unstructured disturbances. As a result, the proposed output regulation method can deal with a vast range of uncertainties. Finally, the stability of the closed-loop system based on the proposed compound controller is carried out via Lyapunov and center manifold analyses, and some results on the robust output regulation are drawn. A representative simulation example is also presented to show the effectiveness of the control method.

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“…Since the variable is not available for feedback, system (14) cannot be stabilized by the standard methods. To overcome this issue, we obtain the following differential equation…”

Section: Proposition 7 ≡ 0 If and Only If ( ) ∈ Mmentioning

confidence: 99%

“…Setting := col( , ), while selecting as the fictitious output, both (14) and (17) are integrated into the following augmented system:̇=…”

Section: Proposition 7 ≡ 0 If and Only If ( ) ∈ Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust Linear Output Regulation Using Extended State Observer

Hosseini-Pishrobat

Keighobadi

Oveisi

et al. 2018

Mathematical Problems in Engineering

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LVRT capability enhancement of a grid connected three phase PV system by ADRC and DSOGI FLL

Aboudrar

Hani

Mediouni

et al. 2021

Int Trans Electr Energ Syst

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Summary Low voltage ride‐through is considered as one of the key technologies for the operation of grid‐connected photovoltaic power generation systems. At present, the most used control methods are based mainly on PI controllers, and their robustness results are still unsatisfactory. In contrast, this article introduces a new robust control strategy that uses the compensation effect of “total disturbance” before affecting the system; this control strategy is called Active Disturbance Rejection Control (ADRC) method. In addition, most of the controllers use the standard SRF PLL to achieve the phase lock and grid synchronization. However, when the grid voltage is distorted or other unbalanced, it is necessary to use the positive sequence voltage component of the fundamental wave as a reference, but the component of the negative sequence cannot be effectively filtered because of its narrow bandwidth, and then, accurate phase lock cannot be achieved, which may cause a failure. In this purpose, a Double Second Order Generalized Integrator based Frequency Locked Loop (DSOGI‐FLL) is proposed and used to improve the system operating performance and non‐off‐line capability. In order to confirm the robustness of the proposed control strategies, a multiple simulations tests were done by utilizing the Matlab/Simulink software. The results have demonstrated the superiority of the proposed methods and their robustness to symmetrical and unsymmetrical faults.

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Fuzzy active disturbance rejection control design for autonomous underwater vehicle manipulators system

Wang

2020

Adv Control Appl

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In this article, a fuzzy active disturbance rejection controller (FADRC) is proposed for autonomous underwater vehicle manipulator system (AUVMS). First, the AUVMS is separated into nine subsystems. Then, for each subsystem, dynamic uncertainties, hydrodynamic forces, unknown disturbance, and nonlinear coupling effects are lumped into a total disturbance. Next, a linear extended state observer (LESO) and linear feedback control law are designed to estimate and compensate the total disturbance. The convergence and estimation error of the LESO are analyzed here to validate its performance. Then considering the control output in real industry are always limited, a saturated proportional-derivative (PD) controller is proposed, and close-loop stability of the controller can be ensured. Given the fact that there are many parameters to be scheduled in practical industrial applications, an FADRC is proposed to determine the parameters of the proposed LESO and saturated PD controller.The given fuzzy rules of the parameters' change of the saturated PD controller and bandwidths of LESO can be used in other FADRCs. In order to verify the effectiveness of the proposed method, two tasks are chosen to test the performance of trajectory tracking and the capability of rejecting and attenuating the total disturbance. Simulation shows that the proposed FADRC can achieve better performance and consume less energy than classic fuzzy logic controllers and linear active disturbance rejection controllers.

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Active disturbance rejection control: Methodology and theoretical analysis

Cited by 752 publications

References 44 publications

Robust Linear Output Regulation Using Extended State Observer

Robust Linear Output Regulation Using Extended State Observer

LVRT capability enhancement of a grid connected three phase PV system by ADRC and DSOGI FLL

Fuzzy active disturbance rejection control design for autonomous underwater vehicle manipulators system

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