Decentralized control of discrete-time linear time invariant systems with input saturation

Ciprian Deliu; C. Deliu; Babak Malek; Sandip Roy; Ali Saberi; Antonie Arij Stoorvogel

doi:10.1109/ACC.2009.5160158

Decentralized control of discrete-time linear time invariant systems with input saturation

Ciprian Deliu, C. Deliu, Babak Malek, Sandip Roy, Ali Saberi, Antonie Arij Stoorvogel

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

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Abstract

We study decentralized stabilization of discrete time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the openloop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.

Original language	Undefined
Title of host publication	Proceedings of the 2009 American Control Conference
Publisher	IEEE
Pages	2539-2544
Number of pages	6
ISBN (Print)	978-1-4244-4524-0
DOIs	https://doi.org/10.1109/ACC.2009.5160158
Publication status	Published - 10 Jun 2009
Event	2009 American Control Conference, ACC 2009 - St. Louis, United States Duration: 10 Jun 2009 → 12 Jun 2009

Publication series

Name
Publisher	IEEE
ISSN (Print)	0743-1619

Conference

Conference	2009 American Control Conference, ACC 2009
Abbreviated title	ACC
Country/Territory	United States
City	St. Louis
Period	10/06/09 → 12/06/09

Keywords

METIS-263880
EWI-15425
IR-65522

Access to Document

10.1109/ACC.2009.5160158

p95

Cite this

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title = "Decentralized control of discrete-time linear time invariant systems with input saturation",

abstract = "We study decentralized stabilization of discrete time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the openloop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.",

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Deliu, C, Deliu, C, Malek, B, Roy, S, Saberi, A & Stoorvogel, AA 2009, Decentralized control of discrete-time linear time invariant systems with input saturation. in Proceedings of the 2009 American Control Conference. IEEE, pp. 2539-2544, 2009 American Control Conference, ACC 2009, St. Louis, Missouri, United States, 10/06/09. https://doi.org/10.1109/ACC.2009.5160158

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T1 - Decentralized control of discrete-time linear time invariant systems with input saturation

AU - Deliu, Ciprian

AU - Deliu, C.

AU - Malek, Babak

AU - Roy, Sandip

AU - Saberi, Ali

AU - Stoorvogel, Antonie Arij

N1 - eemcs-eprint-15425

PY - 2009/6/10

Y1 - 2009/6/10

N2 - We study decentralized stabilization of discrete time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the openloop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.

AB - We study decentralized stabilization of discrete time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disk and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the openloop eigenvalues are in the closed unit disk, 2) the eigenvalues on the unit circle are not decentralized fixed modes, and 3) these eigenvalues on the unit circle have algebraic multiplicity 1.

KW - METIS-263880

KW - EWI-15425

KW - IR-65522

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DO - 10.1109/ACC.2009.5160158

M3 - Conference contribution

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BT - Proceedings of the 2009 American Control Conference

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