A Super-Twisting Extended State Observer for Nonlinear Systems

Yi Li, Panlong Tan (), Junjie Liu and Zengqiang Chen
Additional contact information
Yi Li: School of Electrical Engineering and Automation, Tianjin University of Technology, Tianjin 300384, China
Panlong Tan: College of Artificial Intelligence, Nankai University, Tianjin 300071, China
Junjie Liu: School of Electrical Engineering and Automation, Tianjin University of Technology, Tianjin 300384, China
Zengqiang Chen: College of Artificial Intelligence, Nankai University, Tianjin 300071, China

Mathematics, 2022, vol. 10, issue 19, 1-14

Abstract: Disturbances and uncertainties are the main concerns in control systems. To obtain this information in real time, the extended state observer is proposed as the core of the active disturbance rejection control. However, the estimation errors of extended state observer cannot converge to zero in the presents of unknown but bounded disturbances, which will bring unexpected tracking errors to the closed-loop system. By taking advantage of the linear extended state observer and the super-twisting algorithm, the super-twisting extended state observer is proposed to deal with the non-diminishing second-order derivable disturbances in this paper. The asymptotic convergence of the super-twisting extended state observer and the controller are proved by the Lyapunov method. Moreover, the effectiveness and robustness of the super-twisting extended state observer are verified by simulation analysis. Simulation results show that the proposed super-twisting extended state observer maintains the minimized estimation error with less settling time compared the with linear extended state observer. The tracking performance of the controller with the proposed observer is greatly improved.

Keywords: active disturbance rejection control (ADRC); extended state observer (ESO); super-twisting algorithm; disturbance compensation; asymptotically stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/19/3584/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/19/3584/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:19:p:3584-:d:931117

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().