Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach

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

doi:10.1016/j.automatica.2013.07.019

Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach

Shan Ma, Junlin Xiong, Valery A. Ugrinovskii, Ian R. Petersen

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

21 Citations (Scopus)

Abstract

This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local control inputs. A sufficient condition involving rank constrained linear matrix inequalities is proposed for the design of such controllers. A numerical example is given to illustrate the developed theory.

Original language	English
Pages (from-to)	3105-3111
Number of pages	7
Journal	Automatica
Volume	49
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2013.07.019
Publication status	Published - Oct 2013
Externally published	Yes

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10.1016/j.automatica.2013.07.019

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title = "Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach",

abstract = "This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local control inputs. A sufficient condition involving rank constrained linear matrix inequalities is proposed for the design of such controllers. A numerical example is given to illustrate the developed theory.",

keywords = "Large-scale systems, Linear matrix inequalities, Markovian jump systems, Stabilization",

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

year = "2013",

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AU - Ma, Shan

AU - Xiong, Junlin

AU - Ugrinovskii, Valery A.

AU - Petersen, Ian R.

PY - 2013/10

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N2 - This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local control inputs. A sufficient condition involving rank constrained linear matrix inequalities is proposed for the design of such controllers. A numerical example is given to illustrate the developed theory.

AB - This paper is concerned with the decentralized stabilization problem for a class of uncertain large-scale systems with Markovian jump parameters. The controllers use local subsystem states and neighboring mode information to generate local control inputs. A sufficient condition involving rank constrained linear matrix inequalities is proposed for the design of such controllers. A numerical example is given to illustrate the developed theory.

KW - Large-scale systems

KW - Linear matrix inequalities

KW - Markovian jump systems

KW - Stabilization

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DO - 10.1016/j.automatica.2013.07.019

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VL - 49

SP - 3105

EP - 3111

JO - Automatica

JF - Automatica

IS - 10

ER -

Robust decentralized stabilization of Markovian jump large-scale systems: A neighboring mode dependent control approach

Abstract

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