Output Feedback Stabilization and Estimation of the Region of Attraction for Nonlinear Systems

A Vector Control Lyapunov Function Perspective

Dabo Xu, Xinghu Wang, Yiguang Hong, Zhong-Ping Jiang, Shengyuan Xu

Research output: Contribution to journalArticle

Abstract

This technical note deals with (local) asymptotic stabilization of uncertain nonlinear systems by output feedback control. Our study provides a new design technique from a vector control Lyapunov function perspective. A comparison principle is developed and as a major consequence, an effective estimation method of the region of attraction (ROA) is established. Application to a class of minimum-phase strict-feedback nonlinear systems gives rise to a constructive stabilization design as well as an estimate of the resulting ROA.

Original languageEnglish (US)
Article number7435266
Pages (from-to)4034-4040
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume61
Issue number12
DOIs
StatePublished - Dec 1 2016

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Lyapunov functions
Nonlinear systems
Stabilization
Feedback
Feedback control

Keywords

  • Comparison principle
  • control Lyapunov function
  • nonlinear systems
  • region of attraction
  • vector Lyapunov function

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Output Feedback Stabilization and Estimation of the Region of Attraction for Nonlinear Systems : A Vector Control Lyapunov Function Perspective. / Xu, Dabo; Wang, Xinghu; Hong, Yiguang; Jiang, Zhong-Ping; Xu, Shengyuan.

In: IEEE Transactions on Automatic Control, Vol. 61, No. 12, 7435266, 01.12.2016, p. 4034-4040.

Research output: Contribution to journalArticle

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