Input-to-state stability of switched systems and switching adaptive control

L. Vu, D. Chatterjee, D. Liberzon

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we prove that a switched nonlinear system has several useful input-to-state stable (ISS)-type properties under average dwell-time switching signals if each constituent dynamical system is ISS. This extends available results for switched linear systems. We apply our result to stabilization of uncertain nonlinear systems via switching supervisory control, and show that the plant states can be kept bounded in the presence of bounded disturbances when the candidate controllers provide ISS properties with respect to the estimation errors. Detailed illustrative examples are included.

Original languageEnglish (US)
Pages (from-to)639-646
Number of pages8
JournalAutomatica
Volume43
Issue number4
DOIs
StatePublished - Apr 2007

Keywords

  • Adaptive control
  • Input-to-state stability
  • Nonlinear systems
  • Supervisory control
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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