Hysteresis-based switching algorithms for supervisory control of uncertain systems

João P. Hespanha, Daniel Liberzon, A. Stephen Morse

Research output: Contribution to journalArticlepeer-review


We address the problem of controlling a linear system with unknown parameters ranging over a continuum by means of switching among a finite family of candidate controllers. We present a new hysteresis-based switching logic, designed specifically for this purpose, and derive a bound on the number of switches produced by this logic on an arbitrary time interval. The resulting switching control algorithm is shown to provide stability and robustness to arbitrary bounded noise and disturbances and sufficiently small unmodeled dynamics.

Original languageEnglish (US)
Pages (from-to)263-272
Number of pages10
Issue number2
StatePublished - Feb 2003


  • Linear system
  • Modeling uncertainty
  • Supervisory control
  • Switching logic

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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