Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

Wu-Hua Chen; Wei Xing Zheng; David Castanon; James C. Spall

Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

Wu-Hua Chen, Wei Xing Zheng, David Castanon, James C. Spall

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper

Abstract

The problems of robust stabilization and Hâˆž control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of Hâˆž delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.

Original language	English
Title of host publication	46th IEEE Conference on Decision and Control : December 12-14, 2007, New Orleans, LA, USA
Publisher	IEEE
Number of pages	6
ISBN (Print)	1424414989
Publication status	Published - 2007
Event	IEEE Conference on Decision and Control - Duration: 12 Dec 2017 → …

Conference

Conference	IEEE Conference on Decision and Control
Period	12/12/17 → …

Keywords

linear systems
robust control
H∞ control
discrete-time systems
time delay systems

Cite this

@inproceedings{7a627792ed9d4b938cbe0948c46343cc,

title = "Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties",

abstract = "The problems of robust stabilization and H{\^a}ˆ{\v z} control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of H{\^a}ˆ{\v z} delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.",

keywords = "linear systems, robust control, H∞ control, discrete-time systems, time delay systems",

author = "Wu-Hua Chen and Zheng, {Wei Xing} and David Castanon and Spall, {James C.}",

year = "2007",

language = "English",

isbn = "1424414989",

booktitle = "46th IEEE Conference on Decision and Control : December 12-14, 2007, New Orleans, LA, USA",

publisher = "IEEE",

note = "IEEE Conference on Decision and Control ; Conference date: 12-12-2017",

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TY - GEN

T1 - Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

AU - Castanon, David

AU - Spall, James C.

PY - 2007

Y1 - 2007

N2 - The problems of robust stabilization and Hâˆž control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of Hâˆž delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.

AB - The problems of robust stabilization and Hâˆž control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of Hâˆž delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.

KW - linear systems

KW - robust control

KW - H∞ control

KW - discrete-time systems

KW - time delay systems

UR - http://handle.uws.edu.au:8081/1959.7/45123

M3 - Conference Paper

SN - 1424414989

BT - 46th IEEE Conference on Decision and Control : December 12-14, 2007, New Orleans, LA, USA

PB - IEEE

T2 - IEEE Conference on Decision and Control

Y2 - 12 December 2017

ER -

Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

Abstract

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Keywords

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