The Yakubovich-Kalman-Popov Lemma and Stability Analysis of Dynamic Output Feedback Systems

Rolf Johansson, Anders Robertsson

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents theory related to stability analysis and stability criteria relevant for observer-based feedback control systems. To this purpose, a special formulation of the Yakubovich-Kalman-Popov (YKP) lemma is provided. We exploit that controllability is not necessary for existence of Lur'e-Lyaptinov functions as used in stability criteria. Constructive means for dynamic output feedback stabilization, positivity, factorization and passivity are provided. Copyright (c) 2005 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)45-69
JournalInternational Journal of Robust and Nonlinear Control
Volume16
Issue number2
DOIs
Publication statusPublished - 2006

Subject classification (UKÄ)

  • Control Engineering

Free keywords

  • positive realness
  • passivity
  • factorization
  • dynamic output feedback
  • stability
  • nonlinear systems

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