States of nonlinear sliding mode control systems are considered, which approximately verify the sliding condition on the unbounded time horizon. If the equivalent control achieves uniform exponential stability, it is shown that such (real) states are ultimately bounded with arbitrarily small bound, provided the sliding error is sufficiently small. The proof requires a new converse Lyapunov theorem for constrained motions.

Real states of stable sliding mode control systems

ZOLEZZI, TULLIO
2008-01-01

Abstract

States of nonlinear sliding mode control systems are considered, which approximately verify the sliding condition on the unbounded time horizon. If the equivalent control achieves uniform exponential stability, it is shown that such (real) states are ultimately bounded with arbitrarily small bound, provided the sliding error is sufficiently small. The proof requires a new converse Lyapunov theorem for constrained motions.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/216830
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact