Local mode dependent decentralized control of uncertain markovian jump large-scale systems

Junlin Xiong; Valery A. Ugrinovskii; Ian R. Petersen

doi:10.1109/CDC.2008.4738677

Local mode dependent decentralized control of uncertain markovian jump large-scale systems

Junlin Xiong^*
, Valery A. Ugrinovskii
, Ian R. Petersen

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

This paper is concerned with the robust stabilization of a class of stochastic large-scale systems. The uncertainties satisfy integral quadratic constraints. The random parameter is a Markov process. A sufficient condition is developed to design stabilizing decentralized controllers which use local system states and local system operation modes to produce local control inputs. The sufficient condition is given in terms of a set of rank constrained linear matrix inequalities.

Original language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4345-4350
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4738677
Publication status	Published - 2008
Externally published	Yes
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	9/12/08 → 11/12/08

Access to Document

10.1109/CDC.2008.4738677

Cite this

Xiong, J., Ugrinovskii, V. A., & Petersen, I. R. (2008). Local mode dependent decentralized control of uncertain markovian jump large-scale systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 4345-4350). Article 4738677 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4738677

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title = "Local mode dependent decentralized control of uncertain markovian jump large-scale systems",

abstract = "This paper is concerned with the robust stabilization of a class of stochastic large-scale systems. The uncertainties satisfy integral quadratic constraints. The random parameter is a Markov process. A sufficient condition is developed to design stabilizing decentralized controllers which use local system states and local system operation modes to produce local control inputs. The sufficient condition is given in terms of a set of rank constrained linear matrix inequalities.",

author = "Junlin Xiong and Ugrinovskii, \{Valery A.\} and Petersen, \{Ian R.\}",

year = "2008",

doi = "10.1109/CDC.2008.4738677",

language = "English",

isbn = "9781424431243",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4345--4350",

booktitle = "Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008",

address = "United States",

note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",

}

Xiong, J, Ugrinovskii, VA & Petersen, IR 2008, Local mode dependent decentralized control of uncertain markovian jump large-scale systems. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4738677, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4345-4350, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 9/12/08. https://doi.org/10.1109/CDC.2008.4738677

Local mode dependent decentralized control of uncertain markovian jump large-scale systems. / Xiong, Junlin; Ugrinovskii, Valery A.; Petersen, Ian R.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 4345-4350 4738677 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Local mode dependent decentralized control of uncertain markovian jump large-scale systems

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AU - Ugrinovskii, Valery A.

AU - Petersen, Ian R.

PY - 2008

Y1 - 2008

N2 - This paper is concerned with the robust stabilization of a class of stochastic large-scale systems. The uncertainties satisfy integral quadratic constraints. The random parameter is a Markov process. A sufficient condition is developed to design stabilizing decentralized controllers which use local system states and local system operation modes to produce local control inputs. The sufficient condition is given in terms of a set of rank constrained linear matrix inequalities.

AB - This paper is concerned with the robust stabilization of a class of stochastic large-scale systems. The uncertainties satisfy integral quadratic constraints. The random parameter is a Markov process. A sufficient condition is developed to design stabilizing decentralized controllers which use local system states and local system operation modes to produce local control inputs. The sufficient condition is given in terms of a set of rank constrained linear matrix inequalities.

UR - https://www.scopus.com/pages/publications/62949244856

U2 - 10.1109/CDC.2008.4738677

DO - 10.1109/CDC.2008.4738677

M3 - Conference Paper

AN - SCOPUS:62949244856

SN - 9781424431243

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4345

EP - 4350

BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 47th IEEE Conference on Decision and Control, CDC 2008

Y2 - 9 December 2008 through 11 December 2008

ER -

Xiong J, Ugrinovskii VA, Petersen IR. Local mode dependent decentralized control of uncertain markovian jump large-scale systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 4345-4350. 4738677. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4738677

Local mode dependent decentralized control of uncertain markovian jump large-scale systems

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