A constructive approach to local stabilization of nonlinear systems by dynamic output feedback

Pengnian Chen, Daizhan Cheng, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review

Abstract

The note considers the problem of local stabilization of nonlinear systems by dynamic output feedback. A new concept, namely, local uniform observability of feedback control law, is introduced. The main result is that if a nonlinear system is Nth-order approximately stabilizable by a locally uniformly observable state feedback, then it is stabilizable by dynamic output feedback. Based on the approximate stability, a constructive method for designing dynamic compensators is presented. The design of the dynamic compensators is beyond the separation principle and can handle systems whose linearization might be uncontrollable and/or unobservable. An example of nonminimum phase nonlinear systems is presented to illustrate the utility of the results.

Original languageEnglish (US)
Pages (from-to)1166-1171
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume51
Issue number7
DOIs
StatePublished - Jul 2006

Keywords

  • Dynamic output feedback
  • Local uniform observability
  • Nonlinear systems
  • Nonminimum phase systems
  • Stabilization

ASJC Scopus subject areas

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

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