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 journalArticlepeer-review

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 2016

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

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