Constrained stabilization problems for linear plants

Ali Saberi; Jian Han; Antonie Arij Stoorvogel

doi:10.1016/S0005-1098(01)00248-5

Constrained stabilization problems for linear plants

Ali Saberi, Jian Han, Antonie Arij Stoorvogel

Research output: Contribution to journal › Article › Academic › peer-review

70 Citations (Scopus)

Abstract

Linear systems with magnitude and rate constraints on both the state and control variables are considered. For such systems, semi-global and global constrained stabilization problems are formulated when state feedback controllers are used. Necessary and sufficient conditions for the solvability of the formulated problems are developed. Moreover, design methodologies for such constrained stabilization problems are presented. An important aspect of our development here is a taxonomy of constraints to show clearly for what type of constraints what can or cannot be achieved. © 2002 Elsevier Science Ltd. All rights reserved.

Original language	Undefined
Article number	10.1016/S0005-1098(01)00248-5
Pages (from-to)	639-654
Number of pages	16
Journal	Automatica
Volume	38
Issue number	4
DOIs	https://doi.org/10.1016/S0005-1098(01)00248-5
Publication status	Published - Apr 2002

Keywords

Input constraints
Linear systems
IR-68843
State constraints
EWI-16624
Stabilization

Access to Document

10.1016/S0005-1098(01)00248-5

http://eprints.eemcs.utwente.nl/secure2/16624/01/a46.pdf

Cite this

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title = "Constrained stabilization problems for linear plants",

abstract = "Linear systems with magnitude and rate constraints on both the state and control variables are considered. For such systems, semi-global and global constrained stabilization problems are formulated when state feedback controllers are used. Necessary and sufficient conditions for the solvability of the formulated problems are developed. Moreover, design methodologies for such constrained stabilization problems are presented. An important aspect of our development here is a taxonomy of constraints to show clearly for what type of constraints what can or cannot be achieved. {\textcopyright} 2002 Elsevier Science Ltd. All rights reserved.",

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AU - Han, Jian

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AB - Linear systems with magnitude and rate constraints on both the state and control variables are considered. For such systems, semi-global and global constrained stabilization problems are formulated when state feedback controllers are used. Necessary and sufficient conditions for the solvability of the formulated problems are developed. Moreover, design methodologies for such constrained stabilization problems are presented. An important aspect of our development here is a taxonomy of constraints to show clearly for what type of constraints what can or cannot be achieved. © 2002 Elsevier Science Ltd. All rights reserved.

KW - Input constraints

KW - Linear systems

KW - IR-68843

KW - State constraints

KW - EWI-16624

KW - Stabilization

U2 - 10.1016/S0005-1098(01)00248-5

DO - 10.1016/S0005-1098(01)00248-5

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