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

Antonie Arij 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

Antonie Arij Stoorvogel, Ali Saberi, Guoyong Shi

Research output: Contribution to conference › Paper › peer-review

1 Citation (Scopus)

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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 semiglobally 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	Undefined
Pages	5072-5077
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2003.1242531
Publication status	Published - Jun 2003
Event	2003 American Control Conference, ACC 2003 - Denver, United States Duration: 4 Jun 2003 → 6 Jun 2003

Conference

Conference	2003 American Control Conference, ACC 2003
Abbreviated title	ACC
Country/Territory	United States
City	Denver
Period	4/06/03 → 6/06/03

Keywords

EWI-16651
IR-69046

Access to Document

10.1109/ACC.2003.1242531

Cite this

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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 semiglobally 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.",

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year = "2003",

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doi = "10.1109/ACC.2003.1242531",

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AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

AU - Shi, Guoyong

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Y1 - 2003/6

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 semiglobally 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 semiglobally 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.

KW - EWI-16651

KW - IR-69046

U2 - 10.1109/ACC.2003.1242531

DO - 10.1109/ACC.2003.1242531

M3 - Paper

SP - 5072

EP - 5077

T2 - 2003 American Control Conference, ACC 2003

Y2 - 4 June 2003 through 6 June 2003

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