Input/output-to-state stability and state-norm estimators for switched nonlinear systems

Matthias A. Müller, Daniel Liberzon

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a switched system is IOSS if all of its constituent subsystems are IOSS. Moreover, under the same conditions, a non-switched state-norm estimator exists for the switched system. Furthermore, if some of the constituent subsystems are not IOSS, we show that still IOSS can be established for the switched system, if the activation time of the non-IOSS subsystems is not too big. Again, under the same conditions, a state-norm estimator exists for the switched system. However, in this case, the state-norm estimator is a switched system itself, consisting of two subsystems. We show that this state-norm estimator can be constructed such that its switching times are independent of the switching times of the switched system it is designed for.

Original languageEnglish (US)
Pages (from-to)2029-2039
Number of pages11
JournalAutomatica
Volume48
Issue number9
DOIs
StatePublished - Sep 2012

Keywords

  • Input/output-to-state stability (IOSS)
  • State-norm estimators
  • Switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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