Predefined-time fractional-order time-varying sliding mode control for arbitrary order systems with uncertain disturbances

Yongzhi Sheng*, Jiahao Gan, Xiaoyu Guo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper proposes a fractional-order time-varying sliding mode control method with predefined-time convergence for a class of arbitrary-order nonlinear control systems with compound disturbances. The method has global robustness and strongly predefined-time stability. All state errors of the system can converge to zero at a desired time, which can be set arbitrarily with a simple parameter. The strongly predefined-time convergence of the system is clearly demonstrated by the analytic expression of state error, which is obtained by solving fractional-order differential equations corresponding to the sliding mode function. The simulation results show that the proposed method still has good control performance in the presence of input saturation and external interference.

Original languageEnglish
Pages (from-to)236-248
Number of pages13
JournalISA Transactions
Volume146
DOIs
Publication statusPublished - Mar 2024

Keywords

  • Fractional calculus
  • Nonlinear control
  • Predefined-time convergence
  • Sliding mode control

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