Super-exponential tracking for nonlinear systems with non-vanishing uncertainties

  • Yujuan WANG
  • , Xiang CHEN
  • , Yongduan SONG*
  • , Mi FANG
  • *Corresponding author for this work

Research output: Book Chapters | Papers in Conference ProceedingsConference paper (refereed)Researchpeer-review

Abstract

In this paper we introduce a general and systematic approach to achieving robust tracking control for nonlinear systems with non-vanishing uncertainties, along with the complete rejection of non-vanishing uncertainties and user-assignable convergence rate. Furthermore, the convergence rate can be pre-specified faster than exponential or nearly as fast as any prescribed finite time if needed. The key design tool is the utilization of a time-varying feedback gain through a time-varying scaling function that satisfies certain conditions. A general way to construct such time-varying rate function is given such that the different yet assignable convergence rates can be achieved.
Original languageEnglish
Title of host publicationProceedings of the 3rd International Symposium on Autonomous Systems, ISAS 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages288-293
Number of pages6
ISBN (Electronic)9781728112985
DOIs
Publication statusPublished - May 2019
Externally publishedYes
EventThe 3rd International Symposium on Autonomous Systems, ISAS 2019 - Shanghai, China
Duration: 29 May 201931 May 2019

Conference

ConferenceThe 3rd International Symposium on Autonomous Systems, ISAS 2019
Abbreviated titleISAS 2019
Country/TerritoryChina
CityShanghai
Period29/05/1931/05/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Funding

This work was supported in part by the National Natural Science Foundation of China under grant (No. 61773081, No. 61860206008, and No. 61803053), and the Fundamental Research Funds for the Central Universities under Project (No. 2018CDPTCG0001/43).

Keywords

  • Nonlinear systems
  • pre-specified convergence rate
  • super-exponentials
  • time-varying feedback

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