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 journalArticleAcademicpeer-review

11 Citations (Scopus)

Abstract

This paper investigates 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, when trying to compute the recoverable region, a reduction technique shows 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 languageUndefined
Article number10.1016/j.automatica.2004.04.008
Pages (from-to)1481-1494
Number of pages14
JournalAutomatica
Volume40
Issue number9
DOIs
Publication statusPublished - Sep 2004

Keywords

  • Input constraints
  • Linear systems
  • Recoverable region
  • IR-68844
  • State constraints
  • EWI-16633
  • Stabilization

Cite this

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

In: Automatica, Vol. 40, No. 9, 10.1016/j.automatica.2004.04.008, 09.2004, p. 1481-1494.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints

AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

AU - Shi, Guoyong

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Y1 - 2004/9

N2 - This paper investigates 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, when trying to compute the recoverable region, a reduction technique shows 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 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, when trying to compute the recoverable region, a reduction technique shows 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 - Input constraints

KW - Linear systems

KW - Recoverable region

KW - IR-68844

KW - State constraints

KW - EWI-16633

KW - Stabilization

U2 - 10.1016/j.automatica.2004.04.008

DO - 10.1016/j.automatica.2004.04.008

M3 - Article

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SP - 1481

EP - 1494

JO - Automatica

JF - Automatica

SN - 0005-1098

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