We study the problem of globally stabilizing through measurement feedback a class of uncertain stochastic nonlinear systems in feedforward (or upper triangular) form, with state equations affected by a Wiener process adapted to a given filtration of sigma-algebras and measurements affected by a sample continuous and strongly Markov stochastic process adapted to the same filtration of sigma-algebras. We propose a step-by step design, based on splitting the system F, into one-dimensional interconnected systems Sigma(j), j = 1, ..., n. Moreover, we introduce the notion of practical stability in probability, which corresponds to having a large probability of being the state small in norm whenever the noise affecting the measurements has a "small" second order moment.
Stochastic stabilization of nonlinear systems in feedforward form with noisy outputs / Battilotti, Stefano. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 50:1(2005), pp. 100-105. [10.1109/tac.2004.841129]
Stochastic stabilization of nonlinear systems in feedforward form with noisy outputs
BATTILOTTI, Stefano
2005
Abstract
We study the problem of globally stabilizing through measurement feedback a class of uncertain stochastic nonlinear systems in feedforward (or upper triangular) form, with state equations affected by a Wiener process adapted to a given filtration of sigma-algebras and measurements affected by a sample continuous and strongly Markov stochastic process adapted to the same filtration of sigma-algebras. We propose a step-by step design, based on splitting the system F, into one-dimensional interconnected systems Sigma(j), j = 1, ..., n. Moreover, we introduce the notion of practical stability in probability, which corresponds to having a large probability of being the state small in norm whenever the noise affecting the measurements has a "small" second order moment.File | Dimensione | Formato | |
---|---|---|---|
Battilotti_Stochastic-stabilization_2005.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
325.11 kB
Formato
Adobe PDF
|
325.11 kB | Adobe PDF | Contatta l'autore |
VE_2005_11573-66760.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
319.31 kB
Formato
Adobe PDF
|
319.31 kB | Adobe PDF | Contatta l'autore |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.