Stabilization of a class of switched uncertain systems by active disturbance rejection control

2018 ◽  
Vol 40 (16) ◽  
pp. 4421-4431 ◽  
Author(s):  
Chen Liu ◽  
Chaoyang Dong ◽  
Qing Wang ◽  
Maopeng Ran
Keyword(s):  
Disturbance Rejection ◽  
External Disturbance ◽  
Average Dwell Time ◽  
Feedback System ◽  
Active Disturbance Rejection Control ◽  
Extended State ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
System States ◽  
Estimate System

The problem of stabilization for a class of switched uncertain non-linear systems is studied by active disturbance rejection control (ADRC). Coordinate transformation is applied to transform the system into a strict feedback system in normal form. The unknown non-linearity, parameter uncertainty and external disturbance are treated as an extended state of each subsystem, and a corresponding switched extended state observer (ESO) is designed. Based on the output of the switched ESO, a switching ADRC law is proposed. Rigorous proof is given to show that the switched ESO can estimate system states and the unknown non-linearity of each subsystem effectively. Furthermore, the proposed controller guarantees the closed-loop system be semi-globally uniformly ultimately bounded for a class of switching with average dwell time. A numerical example illustrates the effectiveness of the proposed method.

Stability control for end effect of mobile manipulator in uneven terrain based on active disturbance rejection control

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Chuang Cheng ◽  
Hui Zhang ◽  
Hui Peng ◽  
Zhiqian Zhou ◽  
Bailiang Chen ◽  
...  
Keyword(s):  
Disturbance Rejection ◽  
Control Method ◽  
External Disturbance ◽  
Stability Control ◽  
Mobile Manipulator ◽  
Active Disturbance Rejection Control ◽  
End Effector ◽  
Content Type ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

Purpose When the mobile manipulator is traveling on an unconstructed terrain, the external disturbance is generated. The load on the end of the mobile manipulator will be affected strictly by the disturbance. The purpose of this paper is to reject the disturbance and keep the end effector in a stable pose all the time, a control method is proposed for the onboard manipulator. Design/methodology/approach In this paper, the kinematics and dynamics models of the end pose stability control system for the tracked robot are built. Through the guidance of this model information, the control framework based on active disturbance rejection control (ADRC) is designed, which keeps the attitude of the end of the manipulator stable in the pitch, roll and yaw direction. Meanwhile, the control algorithm is operated with cloud computing because the research object, the rescue robot, aims to be lightweight and execute work with remote manipulation. Findings The challenging simulation experiments demonstrate that the methodology can achieve valid stability control performance in the challenging terrain road in terms of robustness and real-time. Originality/value This research facilitates the stable posture control of the end-effector of the mobile manipulator and maintains it in a suitable stable operating environment. The entire system can normally work even in dynamic disturbance scenarios and uncertain nonlinear modeling. Furthermore, an example is given to guide the parameter tuning of ADRC by using model information and estimate the unknown internal modeling uncertainty, which is difficult to be modeled or identified.

scholarly journals High-Order Sliding Mode-Based Fixed-Time Active Disturbance Rejection Control for Quadrotor Attitude System

Electronics ◽  
2018 ◽  
Vol 7 (12) ◽  
pp. 357 ◽  
Author(s):  
Chunlin Song ◽  
Changzhu Wei ◽  
Feng Yang ◽  
Naigang Cui
Keyword(s):  
Disturbance Rejection ◽  
Sliding Mode ◽  
Fixed Time ◽  
High Order ◽  
Extended State Observer ◽  
Active Disturbance Rejection Control ◽  
Extended State ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
Control Scheme

This article presents a fixed-time active disturbance rejection control approach for the attitude control problem of quadrotor unmanned aerial vehicle in the presence of dynamic wind, mass eccentricity and an actuator fault. The control scheme applies the feedback linearization technique and enhances the performance of the traditional active disturbance rejection control (ADRC) based on the fixed-time high-order sliding mode method. A switching-type uniformly convergent differentiator is used to improve the extended state observer for estimating and attenuating the lumped disturbance more accurately. A multivariable high-order sliding mode feedback law is derived to achieve fixed time convergence. The timely convergence of the designed extended state observer and the feedback law is proved theoretically. Mathematical simulations with detailed actuator models and real time experiments are performed to demonstrate the robustness and practicability of the proposed control scheme.

On External Disturbance Rejection of Linear ADRC

2019 ◽  
Author(s):  
Huiyu Jin ◽  
Yang Chen ◽  
Weiyao Lan
Keyword(s):  
High Frequency ◽  
Disturbance Rejection ◽  
Bandpass Filter ◽  
External Disturbance ◽  
Low Frequency ◽  
Second Order ◽  
Control Technology ◽  
Active Disturbance Rejection Control ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

Abstract Active disturbance rejection control (ADRC) is a quickly developing practical control technology while its ability to reject external disturbance is necessary to investigate deeply. Focusing on the simple case that the plant is an exactly known second order plant, this paper investigates the external disturbance rejection of linear ADRC. It reveals a separation diagram, in which the external disturbance goes into the output via a bandpass filter. That is the reason why linear ADRC can reject both low-frequency and high-frequency external disturbance.

scholarly journals Novel Active Disturbance Rejection Control Based on Nested Linear Extended State Observers

2020 ◽  
Vol 10 (12) ◽  
pp. 4069
Author(s):  
Wameedh Riyadh Abdul-Adheem ◽  
Ahmad Taher Azar ◽  
Ibraheem Kasim Ibraheem ◽  
Amjad J. Humaidi
Keyword(s):  
Disturbance Rejection ◽  
Estimation Error ◽  
Tracking Error ◽  
Rate Of Change ◽  
Estimation Accuracy ◽  
Active Disturbance Rejection Control ◽  
Extended State ◽  
Single Input Single Output ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

In this paper, a Novel Active Disturbance Rejection Control (N-ADRC) strategy is proposed that replaces the Linear Extended State Observer (LESO) used in Conventional ADRC (C-ADRC) with a nested LESO. In the nested LESO, the inner-loop LESO actively estimates and eliminates the generalized disturbance. Increasing the bandwidth improves the estimation accuracy which may tolerate noise and conflict with H/W limitations and the sampling frequency of the system. Therefore, an alternative scenario is offered without increasing the bandwidth of the inner-loop LESO provided that the rate of change of the generalized disturbance estimation error is upper bounded. This was achieved by the placing of an outer-loop LESO in parallel with the inner one that estimates and eliminates the remaining generalized disturbance originating from the inner-loop LESO due to bandwidth limitations. The stability of LESO and nested LESO was investigated using Lyapunov stability analysis. Simulations on uncertain nonlinear single-input-single-output (SISO) system with time-varying exogenous disturbance revealed that the proposed nested LESO could successfully deal with a generalized disturbance in both noisy and noise-free environments, where the Integral Time Absolute Error (ITAE) of the tracking error for the nested LESO was reduced by 69.87% from that of the LESO.

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