Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

Anton A. Stoorvogel; Ali Saberi; Guoyong  Shi

doi:10.1109/ACC.2003.1242531

Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

Anton A. Stoorvogel, Ali Saberi, Guoyong Shi

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

1 Citation (Scopus)

Abstract

This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semi-globally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension, which generally leads to a considerable simplification in the computational effort.

Original language	English
Title of host publication	Proceedings 2003 American Control Conference (Denver CO)
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	5072-5077
Number of pages	6
ISBN (Print)	0-7803-7896-2
DOIs	https://doi.org/10.1109/ACC.2003.1242531
Publication status	Published - 2003
Event	2003 American Control Conference (ACC 2003), June 4-6, 2003, Denver, CO, USA - Adams Mark Hotel, Denver, CO, United States Duration: 4 Jun 2004 → 6 Jun 2004

Conference

Conference	2003 American Control Conference (ACC 2003), June 4-6, 2003, Denver, CO, USA
Abbreviated title	ACC 2003
Country/Territory	United States
City	Denver, CO
Period	4/06/04 → 6/06/04

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10.1109/ACC.2003.1242531

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title = "Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints",

abstract = "This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semi-globally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension, which generally leads to a considerable simplification in the computational effort.",

author = "Stoorvogel, {Anton A.} and Ali Saberi and Guoyong Shi",

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doi = "10.1109/ACC.2003.1242531",

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booktitle = "Proceedings 2003 American Control Conference (Denver CO)",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "2003 American Control Conference (ACC 2003), June 4-6, 2003, Denver, CO, USA, ACC 2003 ; Conference date: 04-06-2004 Through 06-06-2004",

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Stoorvogel, AA, Saberi, A & Shi, G 2003, Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints. in Proceedings 2003 American Control Conference (Denver CO). Institute of Electrical and Electronics Engineers, Piscataway, pp. 5072-5077, 2003 American Control Conference (ACC 2003), June 4-6, 2003, Denver, CO, USA, Denver, CO, United States, 4/06/04. https://doi.org/10.1109/ACC.2003.1242531

Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints. / Stoorvogel, Anton A.; Saberi, Ali; Shi, Guoyong .

Proceedings 2003 American Control Conference (Denver CO). Piscataway : Institute of Electrical and Electronics Engineers, 2003. p. 5072-5077.

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

TY - GEN

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AU - Saberi, Ali

AU - Shi, Guoyong

PY - 2003

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N2 - This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semi-globally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension, which generally leads to a considerable simplification in the computational effort.

AB - This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semi-globally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension, which generally leads to a considerable simplification in the computational effort.

U2 - 10.1109/ACC.2003.1242531

DO - 10.1109/ACC.2003.1242531

M3 - Conference contribution

SN - 0-7803-7896-2

SP - 5072

EP - 5077

BT - Proceedings 2003 American Control Conference (Denver CO)

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 2003 American Control Conference (ACC 2003), June 4-6, 2003, Denver, CO, USA

Y2 - 4 June 2004 through 6 June 2004

ER -

Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

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