The Yakubovich-Kalman-Popov lemma and stability analysis of dynamic output feedback systems

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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.

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Subject classification (UKÄ) – MANDATORY

  • Control Engineering

Keywords

  • positive realness, passivity, factorization, dynamic output feedback, stability, nonlinear systems
Original languageEnglish
Pages (from-to)45-69
JournalInternational Journal of Robust and Nonlinear Control
Volume16
Issue number2
Publication statusPublished - 2006
Publication categoryResearch
Peer-reviewedYes

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