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Fixed-time command filtering adaptive prescribed performance control for high-order uncertain nonlinear systems

  • Chikun Gong
  • , Wei Liu
  • , Lipeng Yuan*
  • , Yong Wang
  • , Na Zhang
  • *Corresponding author for this work
  • University of Shanghai for Science and Technology
  • Institute of Industrial and Electrical Testing

Research output: Contribution to journalArticlepeer-review

Abstract

To address long convergence time and state constraint challenges in high-order uncertain nonlinear systems, this paper proposes a fixed-time command filtered adaptive prescribed performance control strategy. It constructs an adaptive dynamic constraint boundary via error transformation, overcoming fixed-boundary conservatism in traditional prescribed performance control. A fixed-time command filter with error compensation eliminates the “differential explosion” problem in backstepping. Fuzzy logic approximates unknown dynamics with adaptive parameter tuning. Rigorous analysis proves all closed-loop signals are bounded within a fixed time, and tracking error meets prescribed performance. Simulations verify its superiority in convergence speed and dynamic constraints over existing methods.

Original languageEnglish
JournalInternational Journal of Control
DOIs
StateAccepted/In press - 2026

Keywords

  • Fixed time
  • backstepping
  • command filtering
  • fuzzy logic function
  • prescribed performance control

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