Model-based nonlinear control of the human heart rate during treadmill exercising

Frédéric Mazenc; Michael Malisoff; Marcio De Queiroz

doi:10.1109/CDC.2010.5717858

Model-based nonlinear control of the human heart rate during treadmill exercising

Frédéric Mazenc
, Michael Malisoff
, Marcio De Queiroz

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

5 Scopus citations

Abstract

We study a recently-proposed nonlinear model for human heart rate response that describes the central and peripheral local responses during and after treadmill exercise. The treadmill speed is the control input, and the control objective is to make the heart rate track a prescribed reference trajectory. Using a strict Lyapunov function analysis, we design new state and output feedback tracking controllers that render the error dynamics globally exponentially stable to the origin. This allows us to show that the feedback stabilized error dynamics enjoys input-to-state stable performance under actuator errors. This robustness condition quantifies the effects of deviations of the treadmill speed from the controller values. We illustrate our control design through simulations.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1674-1678
Number of pages	5
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717858
State	Published - 2010
Externally published	Yes
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: Dec 15 2010 → Dec 17 2010

Publication series

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

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	12/15/10 → 12/17/10

Access to Document

10.1109/CDC.2010.5717858

Cite this

Mazenc, F., Malisoff, M., & De Queiroz, M. (2010). Model-based nonlinear control of the human heart rate during treadmill exercising. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 1674-1678). Article 5717858 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717858

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title = "Model-based nonlinear control of the human heart rate during treadmill exercising",

abstract = "We study a recently-proposed nonlinear model for human heart rate response that describes the central and peripheral local responses during and after treadmill exercise. The treadmill speed is the control input, and the control objective is to make the heart rate track a prescribed reference trajectory. Using a strict Lyapunov function analysis, we design new state and output feedback tracking controllers that render the error dynamics globally exponentially stable to the origin. This allows us to show that the feedback stabilized error dynamics enjoys input-to-state stable performance under actuator errors. This robustness condition quantifies the effects of deviations of the treadmill speed from the controller values. We illustrate our control design through simulations.",

author = "Fr{\'e}d{\'e}ric Mazenc and Michael Malisoff and \{De Queiroz\}, Marcio",

year = "2010",

doi = "10.1109/CDC.2010.5717858",

language = "English",

isbn = "9781424477456",

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

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

pages = "1674--1678",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

Mazenc, F, Malisoff, M & De Queiroz, M 2010, Model-based nonlinear control of the human heart rate during treadmill exercising. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717858, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1674-1678, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 12/15/10. https://doi.org/10.1109/CDC.2010.5717858

Model-based nonlinear control of the human heart rate during treadmill exercising. / Mazenc, Frédéric; Malisoff, Michael; De Queiroz, Marcio.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 1674-1678 5717858 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Model-based nonlinear control of the human heart rate during treadmill exercising

AU - Mazenc, Frédéric

AU - Malisoff, Michael

AU - De Queiroz, Marcio

PY - 2010

Y1 - 2010

N2 - We study a recently-proposed nonlinear model for human heart rate response that describes the central and peripheral local responses during and after treadmill exercise. The treadmill speed is the control input, and the control objective is to make the heart rate track a prescribed reference trajectory. Using a strict Lyapunov function analysis, we design new state and output feedback tracking controllers that render the error dynamics globally exponentially stable to the origin. This allows us to show that the feedback stabilized error dynamics enjoys input-to-state stable performance under actuator errors. This robustness condition quantifies the effects of deviations of the treadmill speed from the controller values. We illustrate our control design through simulations.

AB - We study a recently-proposed nonlinear model for human heart rate response that describes the central and peripheral local responses during and after treadmill exercise. The treadmill speed is the control input, and the control objective is to make the heart rate track a prescribed reference trajectory. Using a strict Lyapunov function analysis, we design new state and output feedback tracking controllers that render the error dynamics globally exponentially stable to the origin. This allows us to show that the feedback stabilized error dynamics enjoys input-to-state stable performance under actuator errors. This robustness condition quantifies the effects of deviations of the treadmill speed from the controller values. We illustrate our control design through simulations.

UR - https://www.scopus.com/pages/publications/79953147486

U2 - 10.1109/CDC.2010.5717858

DO - 10.1109/CDC.2010.5717858

M3 - Conference contribution

AN - SCOPUS:79953147486

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1674

EP - 1678

BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 49th IEEE Conference on Decision and Control, CDC 2010

Y2 - 15 December 2010 through 17 December 2010

ER -

Model-based nonlinear control of the human heart rate during treadmill exercising

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