Fast finite-time stability and its application in adaptive control of high-order nonlinear system

Zong Yao Sun, Yu Shao, Chih Chiang Chen

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)

Abstract

This paper addresses the problem of global finite-time adaptive stabilization for a class of high-order uncertain nonlinear systems. A new finite-time stability result is established to provide a less conservative estimation of convergent time in uncertain situation, and a state feedback stabilizer with an adaptive mechanism is constructed by applying continuous domination to adaptive fashion of the systems to be considered. The main novelty of this paper is the skillful development of an analytic strategy and the delicate selection of Lyapunov functions in searching for the adaptive fast finite-time stabilizer. A benchmark example is given to demonstrate the effectiveness of the proposed strategy.

Original languageEnglish
Pages (from-to)339-348
Number of pages10
JournalAutomatica
Volume106
DOIs
Publication statusPublished - 2019 Aug

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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