On the Stability of Linear Active Disturbance Rejection Control

2014 ◽  
Vol 39 (5) ◽  
pp. 574-580 ◽  
Author(s):  
Zeng-Qiang CHEN ◽  
Ming-Wei SUN ◽  
Rui-Guang YANG
Keyword(s):  
Disturbance Rejection ◽  
Active Disturbance Rejection Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
The Stability

scholarly journals Acoustic impedance tuning with active disturbance rejection control

2018 ◽  
Vol 37 (4) ◽  
pp. 1109-1124
Author(s):  
Xu Cheng ◽  
Zhenlong Wu ◽  
Donghai Li ◽  
Min Zhu
Keyword(s):  
Phase Shift ◽  
Acoustic Impedance ◽  
Disturbance Rejection ◽  
Active Disturbance Rejection Control ◽  
Test Rig ◽  
Shift Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
The Stability ◽  
The Mathematical Model

An anechoic end is desired to be implemented on an acoustic test rig. The acoustic impedance can be tuned with active control, such as phase shift control. A precise mathematical description of a system is necessary for phase shift control. However, in some cases, the mathematical model is inaccurate and even impossible to obtain. To overcome the weakness, active disturbance rejection control is proposed as a model-independent strategy and is tested on an identified model and test rig for comparison to phase shift control. The results of the simulation and the experiment show that the performance of phase shift control is strongly influenced by the accuracy of the model, and active disturbance rejection control achieved good performance in the absence of a proper model. Furthermore, a Lyapunov function is constructed to prove the asymptotic stability of active disturbance rejection control, thus ensuring the stability and robustness of the control system.

scholarly journals Research on Linear Active Disturbance Rejection Control in DC/DC Boost Converter

Electronics ◽  
2019 ◽  
Vol 8 (11) ◽  
pp. 1249 ◽  
Author(s):  
Hui Li ◽  
Xinxiu Liu ◽  
Junwei Lu
Keyword(s):  
Disturbance Rejection ◽  
Control Method ◽  
Input Voltage ◽  
Boost Converter ◽  
Cascade Control ◽  
Active Disturbance Rejection Control ◽  
Minimum Phase ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
The Stability

This paper proposes a cascade control strategy based on linear active disturbance rejection control (LADRC) for a boost DC/DC converter. It solves the problem that the output voltage of boost converter is unstable due to non-minimum phase characteristics, input voltage and load variation. Firstly, the average state space model of boost converter is established. Secondly, a new output variable is selected, and a cascade control is adopted to solve the problems of narrow bandwidth and poor dynamic performance caused by non-minimum phase. LADRC is used to estimate and compensate the fluctuations of input voltage and loads in time. Linear state error feedback (LSEF) is used to achieve smaller errors than traditional control method, which ensures the stability and robustness of the system under internal uncertainty and external disturbance. Subsequently, the stability of the system is determined by frequency domain analysis. Finally, the feasibility and superiority of the proposed strategy is verified by simulation and hardware experiment.

scholarly journals Linear active disturbance rejection control for the electro-hydraulic position servo system

2021 ◽  
Vol 104 (1) ◽  
pp. 003685042110009
Author(s):  
Kunshan Jin ◽  
Jianli Song ◽  
Yongtang Li ◽  
Zhiqiang Zhang ◽  
Haibo Zhou ◽  
...  
Keyword(s):  
Disturbance Rejection ◽  
High Performance ◽  
Servo System ◽  
Active Disturbance Rejection Control ◽  
Integral Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Loading System ◽  
Proportional Integral Control ◽  
The Stability

Valve-controlled asymmetric cylinder is widely used in servo loading system. As a kind of typical electro-hydraulic servo system (EHSS), it inherently has the characteristics such as high order nonlinear, strong coupling, and uncertain, therefore, conventional control strategy is difficult to satisfy the requirements of high-performance control. In this paper, a novel linear active disturbance rejection control (LADRC) method was proposed, in which the internal and external disturbances were actively estimated by the third-order linear extended state observer (LESO) in real-time, and rejected by the control law of proportional integral control (PID) with acceleration feed-forward. The stability of the proposed method was proved, and the influence rules of the LADRC parameters on the control performance were revealed by simulation. Finally, comparative experiments between LADRC and PID control were carried out, results showed that the disturbances can be effectively compensated and the control goals can be successfully achieved with the proposed method.

scholarly journals Linear Active Disturbance Rejection Control Strategy with Known Disturbance Compensation for Voltage-Controlled Inverter

Electronics ◽  
2021 ◽  
Vol 10 (10) ◽  
pp. 1137
Author(s):  
Yang Li ◽  
Rong Qi ◽  
Mingguang Dai ◽  
Xi Zhang ◽  
Yiyun Zhao
Keyword(s):  
Disturbance Rejection ◽  
Dynamic Performance ◽  
Active Disturbance Rejection Control ◽  
Disturbance Compensation ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Original Scheme ◽  
Linear Extended State Observer ◽  
The Difference ◽  
The Stability

When the linear active disturbance rejection control (LADRC) is applied for the voltage-controlled inverter, the discrete period and the measurement noise limits the observer bandwidth, which affects the anti-disturbance performance of the system. This results in a poor ability to deal with the output voltage fluctuation under the load switch. In this paper, a novel LADRC strategy based on the known disturbance compensation is proposed for the voltage-controlled inverters. Firstly, the original LADRC scheme is designed. The dynamic performance and robustness of the system are analyzed by a root locus diagram, and the anti-disturbance ability is studied through amplitude-frequency characteristics. Then the partial model information and the load current are treated as the known disturbance and introduced to the linear extended state observer (LESO) to improve observation accuracy. The difference in anti-disturbance performance with the original scheme is compared and the stability of the LESO and LADRC is analyzed. Finally, the effectiveness of the proposed scheme is verified by the simulation and experimental results.

scholarly journals Motion Control of Autonomous Underwater Vehicle Based on Fractional Calculus Active Disturbance Rejection

2021 ◽  
Vol 9 (11) ◽  
pp. 1306
Author(s):  
Junhe Wan ◽  
Hailin Liu ◽  
Jian Yuan ◽  
Yue Shen ◽  
Hao Zhang ◽  
...  
Keyword(s):  
Fractional Calculus ◽  
Disturbance Rejection ◽  
Autonomous Underwater Vehicle ◽  
Estimation Error ◽  
Underwater Vehicle ◽  
Superior Performance ◽  
Active Disturbance Rejection Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
The Stability

An active disturbance rejection control based on fractional calculus is proposed to improve the motion performance and robustness of autonomous underwater vehicle (AUV). The active disturbance rejection control (ADRC) method can estimate and compensate the total disturbance of AUV automatically. The fractional-order PID (proportional integral derivative) has fast dynamic response, which can eliminate the estimation error of extended state observer. The fractional calculus active disturbance rejection strategy combines the advantages of the above two algorithms, and it is designed for AUV heading and pitch subsystems. In addition, the stability of fractional calculus ADRC heading subsystem is proven by Lyapunov stability theorem. The numerical simulations and experimental results document that the superior performance has been achieved. The fractional calculus ADRC strategy has more excellent abilities for disturbance rejection, performs better than ADRC and PID, and has important theoretical and practical value.

Sign in / Sign up

Export Citation Format

Share Document