A unified approach to finite-time stabilization of high-order nonlinear systems with an asymmetric output constraint

Chih Chiang Chen, Zong Yao Sun

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

The problem of finite-time stabilization for a class of high-order nonlinear systems (also known as p-normal form systems) with an asymmetric output constraint is investigated in this paper. A novel design approach is proposed by delicately revamping the technique of adding a power integrator with the introduction of a distinctive asymmetric barrier Lyapunov function and performing a skillful manipulation of sign functions. By using the present method, a continuous state feedback finite-time stabilizer can be recursively constructed while achieving the requirement of the asymmetric output constraint. The novelty of the proposed approach is that it is a unified manner that enables us to simultaneously tackle the problem of finite-time stabilization for high-order nonlinear systems with and without asymmetric output constraints, without changing the controller structure.

Original languageEnglish
Article number108581
JournalAutomatica
Volume111
DOIs
Publication statusPublished - 2020 Jan

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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