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

✍ Scribed by Rolf Johansson; Anders Robertsson

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 267 KB
Volume: 16
Category: Article
ISSN: 1049-8923
DOI: 10.1002/rnc.1038

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✦ Synopsis

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–Lyapunov functions as used in stability criteria. Constructive means for dynamic output feedback stabilization, positivity, factorization and passivity are provided. Copyright © 2005 John Wiley & Sons, Ltd.

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