ℋ∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays

Qing Wang; James Lam

doi:10.1109/CDC.2005.1583141

ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays

Qing Wang, James Lam

The University of Hong Kong

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

10 Citations (Scopus)

Abstract

This paper considers the problem of computing an approximation system for a discrete-time Markovian jump system with mode-dependent time delays such that the H_∞ norm of the error system is less than a prescribed scalar. It can be shown that the approximation system is constructed by the solutions of linear matrix inequalities (LMIs) with inverse constraints. An efficient algorithm is used to obtain the approximation system and an example is employed to demonstrate the effectiveness of the model approximation algorithm.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	6122-6127
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583141
Publication status	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/CDC.2005.1583141

Cite this

Wang, Q., & Lam, J. (2005). ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 6122-6127). Article 1583141 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583141

Wang, Qing ; Lam, James. / ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. pp. 6122-6127 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

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title = "ℋ∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays",

abstract = "This paper considers the problem of computing an approximation system for a discrete-time Markovian jump system with mode-dependent time delays such that the H∞ norm of the error system is less than a prescribed scalar. It can be shown that the approximation system is constructed by the solutions of linear matrix inequalities (LMIs) with inverse constraints. An efficient algorithm is used to obtain the approximation system and an example is employed to demonstrate the effectiveness of the model approximation algorithm.",

author = "Qing Wang and James Lam",

year = "2005",

doi = "10.1109/CDC.2005.1583141",

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booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

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Wang, Q & Lam, J 2005, ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1583141, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 6122-6127, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583141

ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays. / Wang, Qing; Lam, James.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 6122-6127 1583141 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

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

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Wang Q, Lam J. ℋ_∞ model approximation for discrete-time Markovian jump systems with mode-dependent time delays. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 6122-6127. 1583141. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583141