An approach to improve active disturbance rejection control

Wang, Fan; Liu, Enhai; Ranjun, Wang; Zhang, Wenming; Yang, Yunlong

doi:10.1080/00207179.2018.1490032

Cited by 6 publications

(4 citation statements)

References 28 publications

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“…Many researchers have worked on this problem since the years 1950s and 1960s, among whom can be cited as Aizerman (1947), with the well known Aizerman conjecture, and Krasovskii (1953), Popov (1961), and Kalman (1963). In a way, research on the Lurie’s problem took a bigger leap in the 1980s, when works began to appear that linked the problem to other areas and approaches such as neural networks (Liao and Yu, 2008; Pinheiro and Colón, 2019); complex network (Li et al, 2012); chaos and chaos synchronization (Kazemy and Farrokhi, 2017); convex approach to the Lurie problem (Gapski and Geromel, 1994); linear parameter varying (LPV) system (Yu and Liao, 2019); uncertain systems (Tan and Atherton, 2003); Integral Quadratic Constraints (IQC) and Zames-Falb multipliers (Carrasco et al, 2016); μ analysis (Abtahi and Yazdi, 2019; Lee and Juang, 2005); and more recently the application of Lurie’s problem in modern control systems such as Hopfield neural network controls (Pinheiro and Colón, 2021), modeling Alzheimer’s disease (Pinheiro and Colón, 2020), tracking differential extended state observer (Wang et al, 2020) and in control rates of the extended state observer (ESO) for speed control system for the pitching axis of a remote sensing camera (Liu, 2020). In addition to all these new lines of application and study of the Luries problem, its study remains current in the aeronautical field, as can be seen in Imani and Montazeri-Gh (2019).…”

Section: Introductionmentioning

confidence: 99%

Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Pinheiro

Colón

2021

Transactions of the Institute of Measurement and Control

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The goal of this paper is to present a different approach to the analysis of the absolute stability of Lurie type systems in the single-input-single-output (SISO) case using robust control theory. The proposed technique enables the design of controllers via [Formula: see text] mixed-sensitivity (S/KS/T), where, besides making the system absolutely stable, the performance problem can also be solved. In addition, it is also demonstrated that it is possible to make use of this new approach in time-delay Lurie type systems. Thus, through a new methodology, this work paves the way to the study of the absolute stability of multiple-inputs-multiple-outputs (MIMO) systems, aiming at a better generalization of the theory and enabling applications in other areas, such as neural networks. Examples, numerical simulations and application in Chua’s circuit are given to illustrate the results.

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Section: Introductionmentioning

confidence: 99%

Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Pinheiro

Colón

2021

Transactions of the Institute of Measurement and Control

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“…is type of controller has proved its efficiency in several publications [4]. It allows us to estimate and compensate in real time all the disturbances, both internal and external (variation of the machine parameters and variation of the load) [4,5]. e performance of this control approach depends on the operating status of all elements of the system.…”

Section: Introductionmentioning

confidence: 99%

Current Sensor Fault-Tolerant Control of DSIM Controlled by ADRC

Oumar

Chakib²,

Cherkaoui

2020

Mathematical Problems in Engineering

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This paper aims to contribute to the fault-tolerant control of the current sensor. The system studied is a double star induction machine (DSIM) controlled by a robust control called Active Disturbance Rejection Control (ADRC). The proposed method makes it possible to detect, isolate, and reconfigure the fault in real time. The reconfiguration is based on the comparison between the values measured by the current sensors and the estimated values. Two voltage observers will be used to estimate the estimated currents, and these two observers are placed at the level of the converters. This method of fault-tolerant control (FTC) has the advantage of ensuring, even in the presence of a sensor fault, the continuity of the system’s operation and maintaining its performance at the desired level. The effectiveness of the FTC strategy proposed in this work is illustrated with simulations carried out under the MATLAB/Simulink environment.

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“…e previous studies on analyzing stability and performance of LADRC can be mainly classified into two groups. One is time-domain analysis [15][16][17], which lays a solid theoretical foundation and provides a strict theoretical support for application. And another is frequency-domain analysis [18,19], which is significantly important so that the ADRC framework is understood using the almost universal frequency-domain analysis languages shared by practicing control engineers, including both bandwidth and stability margins.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Tuning for Active Disturbance Rejection Control

Wang

Ranjun

Liu

2019

Mathematical Problems in Engineering

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The linear active disturbance rejection control (LADRC) method is investigated in this paper. Firstly, the integral effect of the ADRC is analyzed under the premise that ADRC was transformed into a new form. Then, ADRC is changed into an internal model control (IMC) framework, and an almost necessary and sufficient condition for stability and tracking performance of the ADRC system are proposed on this basis. In addition, some useful corollaries are proposed so that the traditional open-loop frequency-domain analysis method can be applied to ADRC system stability analysis. It also provides a theoretical principle and theoretical guidance for some parameter tuning. To improve the performance of ADRC, an approximate integral gain is treated as a separated adjustable parameter according to the new structure. Furthermore, tuning of some parameters is discussed to enhance system performance. Finally, simulations are used to verify the effectiveness of proposed methods.

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An approach to improve active disturbance rejection control

Cited by 6 publications

References 28 publications

Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Current Sensor Fault-Tolerant Control of DSIM Controlled by ADRC

Analysis and Tuning for Active Disturbance Rejection Control

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