Nonlinear Gain Extended State Observer Based Nonsmooth Funnel Control for Nonlinear Systems with Unknown Dynamics

Yun Cheng, Xuemei Ren*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

For the second order nonlinear systems with unknown disturbances, a nonsmooth funnel control (NSFC) method with a novel extended state observer (ESO) is designed to constrain the tracking error. The unknown total disturbance is extended to a new state, and then a nonlinear gain ESO (NLG-ESO) is developed to estimate it. The 'peaking value problem' in the typical linear ESO (LESO) is addressed by the designed nonlinear gain, and the large observer gains in initial period is avoided. In addition, a funnel variable with the nonsmooth function is designed, and the NSFC can constrain the tracking error stay in a funnel zone with better tracking performance. Simulation results illustrate that the designed NSFC with NLG-ESO can achieve the control objectives.

Original languageEnglish
Title of host publicationProceedings of 2022 IEEE 11th Data Driven Control and Learning Systems Conference, DDCLS 2022
EditorsMingxuan Sun, Zengqiang Chen
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages853-858
Number of pages6
ISBN (Electronic)9781665496759
DOIs
Publication statusPublished - 2022
Event11th IEEE Data Driven Control and Learning Systems Conference, DDCLS 2022 - Emeishan, China
Duration: 3 Aug 20225 Aug 2022

Publication series

NameProceedings of 2022 IEEE 11th Data Driven Control and Learning Systems Conference, DDCLS 2022

Conference

Conference11th IEEE Data Driven Control and Learning Systems Conference, DDCLS 2022
Country/TerritoryChina
CityEmeishan
Period3/08/225/08/22

Keywords

  • Dynamic surface control
  • extended state observer (ESO)
  • funnel control
  • nonsmooth function

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