A new observer for nonlinear fractional order systems

Rafael Martinez-Martinez; Juan L. Mata-Machuca; Rafael Martinez-Guerra; Jorge A. Leon; Guillermo Fernandez-Anaya

doi:10.1109/CDC.2011.6160727

A new observer for nonlinear fractional order systems

Rafael Martinez-Martinez, Juan L. Mata-Machuca, Rafael Martinez-Guerra, Jorge A. Leon, Guillermo Fernandez-Anaya

Unidad Profesional Interdisciplinaria de Ingeniería y Tecnologías Avanzadas (UPIITA)

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

4 Citas (Scopus)

Resumen

In this work an observer structure for a certain class of nonlinear fractional order systems is proposed. For solving this task we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the observer system. We apply our proposals in the master-slave synchronization problem, where the coupling signal is viewed as output and the slave system is regarded as observer (the slave is requested to recover the unknown state trajectories of the master). Finally, as numerical example we consider a fractional order Rössler hyperchaotic system and by means of some simulations we show the effectiveness of the suggested approach.

Idioma original	Inglés
Título de la publicación alojada	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Editorial	Institute of Electrical and Electronics Engineers Inc.
Páginas	3319-3324
Número de páginas	6
ISBN (versión impresa)	9781612848006
DOI	https://doi.org/10.1109/CDC.2011.6160727
Estado	Publicada - 2011
Evento	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, Estados Unidos Duración: 12 dic. 2011 → 15 dic. 2011

Serie de la publicación

Nombre	Proceedings of the IEEE Conference on Decision and Control
ISSN (versión impresa)	0743-1546
ISSN (versión digital)	2576-2370

Conferencia

Conferencia	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
País/Territorio	Estados Unidos
Ciudad	Orlando, FL
Período	12/12/11 → 15/12/11

Acceder al documento

10.1109/CDC.2011.6160727

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Martinez-Martinez, R., Mata-Machuca, J. L., Martinez-Guerra, R., Leon, J. A., & Fernandez-Anaya, G. (2011). A new observer for nonlinear fractional order systems. En 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 3319-3324). Artículo 6160727 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160727

Martinez-Martinez, Rafael ; Mata-Machuca, Juan L. ; Martinez-Guerra, Rafael et al. / A new observer for nonlinear fractional order systems. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 3319-3324 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{90bddb42fc5744baabbbfac711289e0e,

title = "A new observer for nonlinear fractional order systems",

abstract = "In this work an observer structure for a certain class of nonlinear fractional order systems is proposed. For solving this task we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the observer system. We apply our proposals in the master-slave synchronization problem, where the coupling signal is viewed as output and the slave system is regarded as observer (the slave is requested to recover the unknown state trajectories of the master). Finally, as numerical example we consider a fractional order R{\"o}ssler hyperchaotic system and by means of some simulations we show the effectiveness of the suggested approach.",

author = "Rafael Martinez-Martinez and Mata-Machuca, {Juan L.} and Rafael Martinez-Guerra and Leon, {Jorge A.} and Guillermo Fernandez-Anaya",

year = "2011",

doi = "10.1109/CDC.2011.6160727",

language = "Ingl{\'e}s",

isbn = "9781612848006",

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

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

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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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Martinez-Martinez, R, Mata-Machuca, JL, Martinez-Guerra, R, Leon, JA & Fernandez-Anaya, G 2011, A new observer for nonlinear fractional order systems. En 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160727, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3319-3324, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, Estados Unidos, 12/12/11. https://doi.org/10.1109/CDC.2011.6160727

A new observer for nonlinear fractional order systems. / Martinez-Martinez, Rafael; Mata-Machuca, Juan L.; Martinez-Guerra, Rafael et al.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 3319-3324 6160727 (Proceedings of the IEEE Conference on Decision and Control).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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T1 - A new observer for nonlinear fractional order systems

AU - Martinez-Martinez, Rafael

AU - Mata-Machuca, Juan L.

AU - Martinez-Guerra, Rafael

AU - Leon, Jorge A.

AU - Fernandez-Anaya, Guillermo

PY - 2011

Y1 - 2011

N2 - In this work an observer structure for a certain class of nonlinear fractional order systems is proposed. For solving this task we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the observer system. We apply our proposals in the master-slave synchronization problem, where the coupling signal is viewed as output and the slave system is regarded as observer (the slave is requested to recover the unknown state trajectories of the master). Finally, as numerical example we consider a fractional order Rössler hyperchaotic system and by means of some simulations we show the effectiveness of the suggested approach.

AB - In this work an observer structure for a certain class of nonlinear fractional order systems is proposed. For solving this task we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the observer system. We apply our proposals in the master-slave synchronization problem, where the coupling signal is viewed as output and the slave system is regarded as observer (the slave is requested to recover the unknown state trajectories of the master). Finally, as numerical example we consider a fractional order Rössler hyperchaotic system and by means of some simulations we show the effectiveness of the suggested approach.

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DO - 10.1109/CDC.2011.6160727

M3 - Contribución a la conferencia

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SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

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

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

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Martinez-Martinez R, Mata-Machuca JL, Martinez-Guerra R, Leon JA, Fernandez-Anaya G. A new observer for nonlinear fractional order systems. En 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 3319-3324. 6160727. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6160727

A new observer for nonlinear fractional order systems

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