On the stability and convergence rate analysis for the nonlinear uncertain systems based upon active disturbance rejection control

2020 ◽  
Vol 30 (14) ◽  
pp. 5728-5750
Author(s):  
Yongshuai Wang ◽  
Junjie Liu ◽  
Zengqiang Chen ◽  
Mingwei Sun ◽  
Qinglin Sun
Keyword(s):  
Disturbance Rejection ◽  
Uncertain Systems ◽  
Stability And Convergence ◽  
Active Disturbance Rejection Control ◽  
Rate Analysis ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Nonlinear Uncertain Systems ◽  
The Stability ◽  
Convergence Rate Analysis

scholarly journals On active disturbance rejection control for lower-triangular nonlinear uncertain systems with mismatched uncertainties and unknown control coefficients

2021 ◽  
Author(s):  
Ping Liu ◽  
Sen Chen ◽  
Zhi-Liang Zhao
Keyword(s):  
Disturbance Rejection ◽  
Uncertain Systems ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Mismatched Uncertainties ◽  
Nonlinear Uncertain Systems ◽  
Unknown Control Coefficients ◽  
Lower Triangular ◽  
Unknown Control ◽  
Control Coefficients

Abstract The paper investigates the control problem for a class of lower-triangular nonlinear uncertain systems with mismatched uncertainties and unknown values of control coefficients. Based on the signs of control coefficients rather than the nominal values or the approximative mathematical expressions, a new active disturbance rejection control is proposed. The design procedure can be concluded by three steps: determining the equivalent integrators chain form, constructing the extended state observer to estimate the total disturbance, and designing a dynamical system to let the actual input track the ideal input. Then under a mild assumption for mismatched uncertainties and unknown control coefficients, the paper rigorously analyzes the bounds of tracking error, estimating error and the error between the actual and ideal inputs. The presented theoretical results reveal the strong robustness of the proposed method to mismatched uncertainties and uncertain control input coefficients. Moreover, the tuning law of observer parameter and the parameter of dynamical input design is theoretically shown.

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.

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