On external semi-global stochastic stabilization of a double integrator with input saturation

Antonie Arij Stoorvogel; Ali Saberi

doi:10.1109/CDC.2008.4739255

On external semi-global stochastic stabilization of a double integrator with input saturation

Antonie Arij Stoorvogel, Ali Saberi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

138 Downloads (Pure)

Abstract

This paper considers external semi-global stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. Recently, it has been shown that for criticaly stable systems there exists a linear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector in the presence of disturbances and Gaussian distributed initial conditions. We report how this result extends to a double integrator with input saturation.

Original language	Undefined
Title of host publication	47th IEEE Conference on Decision and Control
Place of Publication	Piscataway
Publisher	IEEE
Pages	3493-3497
Number of pages	5
ISBN (Print)	978-1-4244-3124-3
DOIs	https://doi.org/10.1109/CDC.2008.4739255
Publication status	Published - 9 Dec 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008 Conference number: 47

Publication series

Name
Publisher	IEEE
Number	WoTUG-31
ISSN (Print)	0191-2216

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Abbreviated title	CDC
Country/Territory	Mexico
City	Cancun
Period	9/12/08 → 11/12/08

Keywords

MSC-93E15
METIS-254996
IR-65216
EWI-14605

Access to Document

10.1109/CDC.2008.4739255

Cite this

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title = "On external semi-global stochastic stabilization of a double integrator with input saturation",

abstract = "This paper considers external semi-global stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. Recently, it has been shown that for criticaly stable systems there exists a linear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector in the presence of disturbances and Gaussian distributed initial conditions. We report how this result extends to a double integrator with input saturation.",

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AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

N1 - Conference code: 47

PY - 2008/12/9

Y1 - 2008/12/9

N2 - This paper considers external semi-global stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. Recently, it has been shown that for criticaly stable systems there exists a linear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector in the presence of disturbances and Gaussian distributed initial conditions. We report how this result extends to a double integrator with input saturation.

AB - This paper considers external semi-global stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. Recently, it has been shown that for criticaly stable systems there exists a linear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector in the presence of disturbances and Gaussian distributed initial conditions. We report how this result extends to a double integrator with input saturation.

KW - MSC-93E15

KW - METIS-254996

KW - IR-65216

KW - EWI-14605

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DO - 10.1109/CDC.2008.4739255

M3 - Conference contribution

SN - 978-1-4244-3124-3

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EP - 3497

BT - 47th IEEE Conference on Decision and Control

PB - IEEE

CY - Piscataway

T2 - 47th IEEE Conference on Decision and Control, CDC 2008

Y2 - 9 December 2008 through 11 December 2008

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