The iISS property for globally asymptotically stable and passive nonlinear systems

Chen Wang*, George Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates the integral input-to-state stability (iISS) property for passive nonlinear systems. We show that under mild technical assumptions, a passive nonlinear system which is globally asymptotically stable is also iISS. Moreover, the integral term from the definition of the iISS property has a very simple form (like an L1 norm). We illustrate the result by proving that the drive-train of a wind turbine with quadratic torque control is iISS.

Original languageEnglish
Pages (from-to)1947-1951
Number of pages5
JournalIEEE Transactions on Automatic Control
Volume53
Issue number8
DOIs
StatePublished - 2008

Keywords

  • Globally asymptotically stable
  • Integral input-to-state
  • Stability (iISS)
  • Wind turbine

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