On the stability of active disturbance rejection control for first-order plus delay time processes

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.

Download Full-text

Backward Difference Sampled-Data First-Order Linear Active Disturbance Rejection Control

2020 IEEE 16th International Conference on Control & Automation (ICCA) ◽

10.1109/icca51439.2020.9264482 ◽

2020 ◽

Author(s):

Huiyu Jin ◽

Meisheng Xue

Keyword(s):

Disturbance Rejection ◽

Active Disturbance Rejection Control ◽

Sampled Data ◽

Order Linear ◽

First Order ◽

Active Disturbance Rejection ◽

Disturbance Rejection Control

Download Full-text

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

Electronics ◽

10.3390/electronics8111249 ◽

2019 ◽

Vol 8 (11) ◽

pp. 1249 ◽

Cited By ~ 2

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.

Download Full-text

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

Science Progress ◽

10.1177/00368504211000907 ◽

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.

Download Full-text