A unified approach to finite-time stabilization of high-order nonlinear systems with and without an output constraint

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6 Citations (Scopus)

Abstract

This paper considers the problem of state feedback finite-time stabilization for a class of high-order nonlinear systems with an output constraint. By proposing a novel tan-type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite-time stabilizer for high-order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite-time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.

Original languageEnglish
Pages (from-to)393-407
Number of pages15
JournalInternational Journal of Robust and Nonlinear Control
Volume29
Issue number2
DOIs
Publication statusPublished - 2019 Jan 25

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State feedback
Nonlinear systems
Stabilization
Lyapunov functions

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Cite this

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AB - This paper considers the problem of state feedback finite-time stabilization for a class of high-order nonlinear systems with an output constraint. By proposing a novel tan-type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite-time stabilizer for high-order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite-time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.

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