A passivity-based approach to reset control systems stability

Joaquín Carrasco, Alfonso Baños, Arjan van der Schaft

Research output: Contribution to journalArticleAcademicpeer-review

74 Citations (Scopus)
611 Downloads (Pure)

Abstract

The stability of reset control systems has been mainly studied for the feedback interconnection of reset compensators with linear time-invariant systems. This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. The results are based on the passivity approach to L2-stability for feedback systems with exogenous inputs, and the fact that a reset compensator will be passive if its base compensator is passive. Several examples of full and partial reset compensations are analyzed, and a detailed case study of an in-line pH control system is given.
Original languageEnglish
Pages (from-to)18-24
Number of pages7
JournalSystems & Control Letters
Volume59
Issue number1
DOIs
Publication statusPublished - Jan-2010

Keywords

  • Passive systems
  • Reset control systems
  • Impulsive systems
  • Stability of hybrid systems
  • Hybrid systems

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