Active Disturbance Rejection Control for Uncertain Nonlinear Systems With Sporadic Measurements

Kanghui He, Chaoyang Dong*, Qing Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper deals with the problem of active disturbance rejection control (ADRC) design for a class of uncertain nonlinear systems with sporadic measurements. A novel extended state observer (ESO) is designed in a cascade form consisting of a continuous time estimator, a continuous observation error predictor, and a reset compensator. The proposed ESO estimates not only the system state but also the total uncertainty, which may include the effects of the external perturbation, the parametric uncertainty, and the unknown nonlinear dynamics. Such a reset compensator, whose state is reset to zero whenever a new measurement arrives, is used to calibrate the predictor. Due to the cascade structure, the resulting error dynamics system is presented in a non-hybrid form, and accordingly, analyzed in a general sampled-data system framework. Based on the output of the ESO, a continuous ADRC law is then developed. The convergence of the resulting closed-loop system is proved under given conditions. Two numerical simulations demonstrate the effectiveness of the proposed control method.

Original languageEnglish
Pages (from-to)893-906
JournalIEEE/CAA Journal of Automatica Sinica
Volume9
Issue number5
DOIs
Publication statusPublished - 2022

Keywords

  • Active disturbance rejection control (ADRC)
  • extended state observer (ESO)
  • sampled measurements
  • uncertain nonlinear systems

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