Active disturbance rejection control on first-order plant

2011 ◽  
Vol 22 (1) ◽  
pp. 95-102 ◽  
Author(s):  
Ruiguang Yang ◽  
Mingwei Sun ◽  
Zengqiang Chen
2018 ◽  
Vol 41 (7) ◽  
pp. 2064-2076 ◽  
Author(s):  
Zengqiang Chen ◽  
Yongshuai Wang ◽  
Mingwei Sun ◽  
Qinglin Sun

To quantitatively investigate the correlation between parameters, disturbance and stability of the linear active disturbance rejection control (LADRC) technique, this paper provides a perspective of first-order nonlinear dynamic systems, and obtains the stable region of LADRC and reduced-order LADRC according to the Lyapunov function and the Markus–Yamabe theorem, along with mathematical proofs for global stability and asymptotic regulation. To be specific, regardless of whether plant dynamics are exactly known or unknown, the control bandwidth can be chosen arbitrarily from the obtained feasible region as long as the derivative of the disturbance satisfies a Lipschitz condition, or some knowledge of the boundary is available. Moreover, simulations are presented to testify the reliability of the results for different disturbances that are probably known or unknown when designing the extended state observer. The results show the validity and feasibility of this analysis.


2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Guangda Chen ◽  
Dejun Liu ◽  
Yongxin Mu ◽  
Jinfei Xu ◽  
Yanming Cheng

The control strategy research of the time-delay system is a focused issue in the control field. In order to furthermore improve the performance of the first-order time-delay inertial system, firstly, a new Smith predictor structure is proposed, which solves the constraint that the conventional Smith predictor needs to match the actual object model. Secondly, the performance and parameter function of the new Smith predictor are discussed in theory to provide the basis for parameter tuning. Finally, a new Smith predictor combined with linear active disturbance rejection control (LADRC) is proposed to solve the problem that the two input signals of the linear extended state observer (LESO) are not synchronized on the time scale, and the stability of the new Smith + LADRC time-delay control system is proved theoretically for known and unknown controlled complex objects. Simulation analysis is conducted to verify the robustness of the proposed strategy under the condition of the different parameters. The results indicate that the proposed strategy has better performance than the conventional method in response speed, overshoot, adjustment time, and stability.


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