On external semi-global stochastic stabilization of linear systems with input saturation

Antonie Arij Stoorvogel; Ali Saberi; Siep Weiland

doi:10.1109/ACC.2007.4282930

On external semi-global stochastic stabilization of linear systems with input saturation

Antonie Arij Stoorvogel
, Ali Saberi
, Siep Weiland

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

16 Citations (Scopus)

45 Downloads (Pure)

Abstract

This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.

Original language	English
Title of host publication	Proceedings of the 2007 American Control Conference
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	5845-5850
Number of pages	6
ISBN (Print)	1-4244-0989-6
DOIs	https://doi.org/10.1109/ACC.2007.4282930
Publication status	Published - Jul 2007
Event	2007 American Control Conference, ACC 2007 - New York, United States Duration: 11 Jul 2007 → 13 Jul 2007

Conference

Conference	2007 American Control Conference, ACC 2007
Abbreviated title	ACC
Country/Territory	United States
City	New York
Period	11/07/07 → 13/07/07

Keywords

EWI-10962
IR-64316
METIS-241865

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10.1109/ACC.2007.4282930

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title = "On external semi-global stochastic stabilization of linear systems with input saturation",

abstract = "This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.",

keywords = "EWI-10962, IR-64316, METIS-241865",

author = "Stoorvogel, \{Antonie Arij\} and Ali Saberi and Siep Weiland",

year = "2007",

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doi = "10.1109/ACC.2007.4282930",

language = "English",

isbn = "1-4244-0989-6",

pages = "5845--5850",

booktitle = "Proceedings of the 2007 American Control Conference",

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note = "2007 American Control Conference, ACC 2007, ACC ; Conference date: 11-07-2007 Through 13-07-2007",

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TY - GEN

T1 - On external semi-global stochastic stabilization of linear systems with input saturation

AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

AU - Weiland, Siep

PY - 2007/7

Y1 - 2007/7

N2 - This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.

AB - This paper introduces the notion of external semiglobal stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. We report complete results for both continuous- and discrete-time open-loop critically stable plants.

KW - EWI-10962

KW - IR-64316

KW - METIS-241865

U2 - 10.1109/ACC.2007.4282930

DO - 10.1109/ACC.2007.4282930

M3 - Conference contribution

SN - 1-4244-0989-6

SP - 5845

EP - 5850

BT - Proceedings of the 2007 American Control Conference

PB - IEEE

CY - Piscataway, NJ

T2 - 2007 American Control Conference, ACC 2007

Y2 - 11 July 2007 through 13 July 2007

ER -

On external semi-global stochastic stabilization of linear systems with input saturation

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Keywords

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