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The Yakubovich–Kalman–Popov lemma and stability analysis of dynamic output feedback systems
Author(s) -
Johansson Rolf,
Robertsson Anders
Publication year - 2005
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1038
Subject(s) - control theory (sociology) , lemma (botany) , controllability , passivity , constructive , observer (physics) , stability (learning theory) , mathematics , lyapunov function , factorization , kalman filter , constructive proof , exponential stability , lyapunov stability , computer science , control (management) , engineering , nonlinear system , algorithm , artificial intelligence , process (computing) , discrete mathematics , ecology , biology , operating system , quantum mechanics , machine learning , statistics , physics , poaceae , electrical engineering
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.