Fixed-time stabilization of second-order systems with unknown nonlinear inherent dynamics

Yang Liu, Hong Yue, Wei Wang

Research output: Contribution to conferencePaperpeer-review

1 Citation (Scopus)
16 Downloads (Pure)

Abstract

This paper studies the fixed-time stabilization control for a class of second-order systems with unknown nonlinear dynamics and external disturbance. To achieve the fixed-time stability, two polynomial feedbacks, one with fractional exponent and the other with exponent greater than 1, are exploited in the sliding surface design. Then, considering the unknown nonlinear dynamics and the external disturbance, the unit-vector technique, coupled with the upper bounds related to the Lipschitz condition of nonlinear dynamics and the uncertain disturbance, is utilized to the fixed-time stability controller based on the designed sliding surface function. Finally, a forced pendulum system is used as case study example to examine the effectiveness of the developed design framework.
Original languageEnglish
Pages324-329
Number of pages6
Publication statusPublished - 5 Sep 2018
EventControl 2018: The 12th International UKACC Conference on Control - Sheffield, United Kingdom
Duration: 5 Sep 20187 Sep 2018
https://control2018.group.shef.ac.uk/

Conference

ConferenceControl 2018: The 12th International UKACC Conference on Control
CountryUnited Kingdom
CitySheffield
Period5/09/187/09/18
Internet address

Keywords

  • fixed-time stability
  • sliding surface
  • nonlinear dynamics
  • external disturbance

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