Finite-time stabilization via output feedback for high-order planar systems subjected to an asymmetric output constraint

Chih Chiang Chen, Guan Shiun Chen, Zong Yao Sun

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This article addresses the problem of finite-time stabilization via output feedback for high-order planar systems subjected to an asymmetric output constraint. By delicately exploring the features of nonlinearities and utilizing skillful manipulations of signum functions, a new fraction-type asymmetric barrier Lyapunov function and a distinctive non-smooth state observer are developed. On the basis of the proposed barrier Lyapunov function along with the state observer, the celebrated adding a power integrator technique is elegantly renovated to develop a novel approach by which a continuous output feedback finite-time stabilizer is constructed in a systematic fashion while ensuring the fulfillment of a pre-specified asymmetric output constraint. The presented scheme is a unification approach able to achieve the finite-time stabilization via output feedback for systems subjected to or free from output constraints simultaneously, without needing to change both the controller and observer structures. A numerical is provided to illustrate the superiority of the developed method.

Original languageEnglish
Pages (from-to)2347-2361
Number of pages15
JournalNonlinear Dynamics
Volume104
Issue number3
DOIs
Publication statusPublished - 2021 May

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics

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