On the Stability of Linear Active Disturbance Rejection Control

This paper investigates the estimation ability of linear extended state observer(ESO) and the stability of the closed-loop system under the linear active disturbance rejection control(LADRC).The bounds of the estimation tracking errors for linear extended state observer(ESO) are proved when the mathematical model of the plant is not given,and the following results are given:under the condition that the tracking error of ESO converges to zero,the accurate tracking to the setpoint signal and the bounded input and bounded output(BIBO) stability can be achieved for the closed loop system under the control of LADRC.

[1]  Nicholas Durante Murray,et al.  Nonlinear PID controller , 1990 .

[2]  Zhiqiang Gao,et al.  A DSP-based active disturbance rejection control design for a 1-kW H-bridge DC-DC power converter , 2005, IEEE Trans. Ind. Electron..

[3]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[4]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[5]  Zengqiang Chen,et al.  Flight Active Disturbance Rejection Control design and performance analysis , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[6]  Chen Zengqiang.  ADRC-based Attitude Control Optimization and Simulation , 2010 .

[7]  Zengqiang Chen,et al.  Performance analysis of Active Disturbance Rejection Control for typical inertial process , 2010, Proceedings of the 29th Chinese Control Conference.

[8]  Sun Ming.  Feasible Stability Margin Region for Unstable Process with PI Control , 2011 .

[9]  Zengqiang Chen,et al.  Active disturbance rejection control on first-order plant , 2011 .

[10]  Zengqiang Chen,et al.  Graphical design of linear active disturbance rejection controller for uncertain first-order-plus-dead-time plant , 2011, Proceedings of 2011 International Conference on Modelling, Identification and Control.

[11]  王小旭,et al.  Unscented Kalman Filter for Nonlinear Systems with Colored Measurement Noise , 2012 .

[12]  Dong Han,et al.  Simultaneous Estimation of States and Unknown Inputs for Linear Systems Based on Auxiliary Outputs , 2012 .