Global Internal Stabilizability Does Not Imply Global External Stabilizability for Small Sensor Disturbances

Randy Freeman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

It was shown in [1] that for control-affine nonlinear systems, global asymptotic stabilizability via continuous state feedback implies global input-to-state stabilizability with respect to actuator disturbances. We show that the analogous result for sensor disturbances does not hold: we construct a second-order system which admits a continuous memoryless globally asymptotically stabilizing state feedback controller but for which no such controller can prevent finite escape times from every initial condition in the presence of small sensor disturbances.

Original languageEnglish (US)
Pages (from-to)2119-2122
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume40
Issue number12
DOIs
StatePublished - Dec 1995

ASJC Scopus subject areas

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

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