High-gain feedback and sliding modes in infinite dimensional systems

• Autorzy: Levaggi L.
• Języki publikacji: EN

Abstrakty

EN

This paper focuses on the connection between sliding motions and low frequency modes of high-gain feedback systems in an infinite dimensional framework. We study a particular class of abstract control systems in a Hilbert space setting and analyse their high-gain behaviour through singular perturbations. We show that the "slow" motion derived from the reduced model approximates the evolution of the closed loop after a fast transient. Moreover we prove a relation between this slow component of the high-gain feedback system and sliding motions, in the spirit, of the analogous result in the finite dimensional setting by Young, Kokotovic and Utkin (Young et al., 1977).

Słowa kluczowe

EN

infinite dimensional systems; high-gain feedback; singular perturbations; sliding modes

PL

system nieskończenie wymiarowy; zaburzenia osobliwe

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 1
• Strony: 33--50
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Levaggi L.

• Dipartimento di Matematica Universita di Genova Via Dodecaneso, 35, 16146 Genova, Italy

Bibliografia

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