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Lagrange stabilisation for uncertain phase-controlled systems
Ist Teil von
International journal of control, 2009-05, Vol.82 (5), p.970-979
Ort / Verlag
Abingdon: Taylor & Francis Group
Erscheinungsjahr
2009
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In this article, we are concerned with the Lagrange stabilisation problem for phase-controlled systems with parameter uncertainties. By using the Kalman-Yakubovich-Popov lemma, the frequency-domain conditions for Lagrange stability of nominal phase-controlled systems are converted into linear matrix inequality (LMI) conditions. The allowable parameter uncertainty bounds for controllability and observability, as well as LMI conditions for Lagrange stability of uncertain phase-controlled systems, are presented. A controller design strategy based on the LMI method is proposed such that the uncertain phase-controlled systems are Lagrange stabilised. A numerical example is provided to demonstrate the effectiveness of the proposed results.