On passivity and passification of Markovian jump systems

Changhong Wang; Xiuming Yao; Ligang Wu; Wei Xing Zheng

On passivity and passification of Markovian jump systems

Changhong Wang
, Xiuming Yao
, Ligang Wu
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

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

2 Citations (Scopus)

Abstract

The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii functional and employing the free-weighting matrix technique, delay-dependent passivity and passification performance conditions are formulated. A numerical example is given to illustrate the usefulness of the proposed approaches.

Original language	English
Title of host publication	Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, held in Shanghai, China (16-18 Dec. 2009)
Publisher	IEEE
Pages	7145-7150
Number of pages	6
ISBN (Print)	9781424438716
Publication status	Published - 2009
Event	Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference - Duration: 1 Jan 2009 → …

Conference

Conference	Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference
Period	1/01/09 → …

Keywords

Markov processes
time-varying systems

Cite this

@inproceedings{7483ea6f1bea4ebf8c78921f61fea5a8,

title = "On passivity and passification of Markovian jump systems",

abstract = "The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii functional and employing the free-weighting matrix technique, delay-dependent passivity and passification performance conditions are formulated. A numerical example is given to illustrate the usefulness of the proposed approaches.",

keywords = "Markov processes, time-varying systems",

author = "Changhong Wang and Xiuming Yao and Ligang Wu and Zheng, \{Wei Xing\}",

year = "2009",

language = "English",

isbn = "9781424438716",

pages = "7145--7150",

booktitle = "Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, held in Shanghai, China (16-18 Dec. 2009)",

publisher = "IEEE",

note = "Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference ; Conference date: 01-01-2009",

}

TY - GEN

T1 - On passivity and passification of Markovian jump systems

AU - Wang, Changhong

AU - Yao, Xiuming

AU - Wu, Ligang

AU - Zheng, Wei Xing

PY - 2009

Y1 - 2009

N2 - The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii functional and employing the free-weighting matrix technique, delay-dependent passivity and passification performance conditions are formulated. A numerical example is given to illustrate the usefulness of the proposed approaches.

AB - The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii functional and employing the free-weighting matrix technique, delay-dependent passivity and passification performance conditions are formulated. A numerical example is given to illustrate the usefulness of the proposed approaches.

KW - Markov processes

KW - time-varying systems

UR - http://handle.uws.edu.au:8081/1959.7/504493

M3 - Conference Paper

SN - 9781424438716

SP - 7145

EP - 7150

BT - Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, held in Shanghai, China (16-18 Dec. 2009)

PB - IEEE

T2 - Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference

Y2 - 1 January 2009

ER -

On passivity and passification of Markovian jump systems

Abstract

Conference

Keywords

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