Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory

Arturo Tejada; Jorge R. Chávez-Fuentes; Pauline Vos

doi:10.1109/CDC.2011.6161397

Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory

Arturo Tejada, Jorge R. Chávez-Fuentes, Pauline Vos

Grupo de Control y Automatización

Delft Center for Systems and Control

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

1 Scopus citations

Abstract

This paper introduces the class of dual-random-rate systems (i.e., dual-rate systems with random output rates), which is well suited to model image-based control systems. It is shown that a dual-random-rate system can be reformulated as a switched linear system with a (quasi-periodic) random switching signal that is a static function of Markov chain. This reformulation makes it possible to study dual-random-rate systems with the stability and output performance analysis tools developed for Markov jump linear systems. The approach is illustrated via a practical example: the compensation of image drift in a transmission electron microscope.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2895-2900
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161397
State	Published - 2011
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

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

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

Access to Document

10.1109/CDC.2011.6161397

Cite this

Tejada, A., Chávez-Fuentes, J. R., & Vos, P. (2011). Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 2895-2900). Article 6161397 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161397

Tejada, Arturo ; Chávez-Fuentes, Jorge R. ; Vos, Pauline. / Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 2895-2900 (Proceedings of the IEEE Conference on Decision and Control).

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title = "Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory",

abstract = "This paper introduces the class of dual-random-rate systems (i.e., dual-rate systems with random output rates), which is well suited to model image-based control systems. It is shown that a dual-random-rate system can be reformulated as a switched linear system with a (quasi-periodic) random switching signal that is a static function of Markov chain. This reformulation makes it possible to study dual-random-rate systems with the stability and output performance analysis tools developed for Markov jump linear systems. The approach is illustrated via a practical example: the compensation of image drift in a transmission electron microscope.",

author = "Arturo Tejada and Ch{\'a}vez-Fuentes, {Jorge R.} and Pauline Vos",

year = "2011",

doi = "10.1109/CDC.2011.6161397",

language = "English",

isbn = "9781612848006",

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

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

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booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Tejada, A, Chávez-Fuentes, JR & Vos, P 2011, Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161397, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2895-2900, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161397

Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory. / Tejada, Arturo; Chávez-Fuentes, Jorge R.; Vos, Pauline.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 2895-2900 6161397 (Proceedings of the IEEE Conference on Decision and Control).

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

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N2 - This paper introduces the class of dual-random-rate systems (i.e., dual-rate systems with random output rates), which is well suited to model image-based control systems. It is shown that a dual-random-rate system can be reformulated as a switched linear system with a (quasi-periodic) random switching signal that is a static function of Markov chain. This reformulation makes it possible to study dual-random-rate systems with the stability and output performance analysis tools developed for Markov jump linear systems. The approach is illustrated via a practical example: the compensation of image drift in a transmission electron microscope.

AB - This paper introduces the class of dual-random-rate systems (i.e., dual-rate systems with random output rates), which is well suited to model image-based control systems. It is shown that a dual-random-rate system can be reformulated as a switched linear system with a (quasi-periodic) random switching signal that is a static function of Markov chain. This reformulation makes it possible to study dual-random-rate systems with the stability and output performance analysis tools developed for Markov jump linear systems. The approach is illustrated via a practical example: the compensation of image drift in a transmission electron microscope.

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M3 - Conference contribution

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BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

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Tejada A, Chávez-Fuentes JR, Vos P. Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 2895-2900. 6161397. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161397

Stability and performance analysis of dual-random-rate systems via Markov jump linear system theory

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