Finite-Time stabilization of nonlinear uncertain mimo systems

Zhi Liang Zhao, Ruonan Yuan, Bao Zhu Guo, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review


The finite-Time stabilization problem is considered for a class of multi-input multioutput nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-Time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-Time extended state observer. The effectiveness of the proposed decentralized finite-Time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.

Original languageEnglish (US)
Pages (from-to)2305-2333
Number of pages29
JournalSIAM Journal on Control and Optimization
Issue number4
StatePublished - 2023


  • Extended finite-Time observer
  • Finite-Time stabilization
  • Nonlinear systems
  • Output-feedback

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics


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