Hierarchical hysteresis switching

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

Research output: Contribution to journalArticlepeer-review


We describe a new switching logic, called "hierarchical hysteresis switching", and establish a bound on the number of switchings produced by this logic on a given interval. The motivating application is the problem of controlling a linear system with large modeling uncertainty. We consider a control algorithm consisting of a finite family of linear controllers supervised by the hierarchical hysteresis switching logic. In this context, the bound on the number of switching enables us to prove stability of the closed-loop system in the presence of noise, disturbances, and unmodeled dynamics.

Original languageEnglish (US)
Pages (from-to)484-489
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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