Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties

Dimitri Karagiannis; Verica Radisavljevic-Gajic; Hashem Ashrafiuon

doi:10.1115/DSCC2016-9755

Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties

Dimitri Karagiannis
, Verica Radisavljevic-Gajic
, Hashem Ashrafiuon

Villanova University College of Engineering

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

2 Scopus citations

Abstract

This work considers a 3-state nonlinear model with two inputs for the controlled dynamics of the human immunodeficiency virus (HIV). The three states represent the number of healthy and unhealthy T-cells as well as the number of free virus particles in a person's body. The two inputs represent two different types of anti-retroviral drugs that are available to treat a person infected with the virus. These inputs can be used to create a stable nominal point that is much healthier for the patient than the open-loop stable equilibrium point. The goal of this paper is to use the inputs, which are subject to constraints, to efficiently and accurately reach the desired nominal point despite parameter uncertainties. We have designed an integral sliding mode control law to achieve this goal, and simulations are presented to demonstrate the performance of the controller.

Original language	English
Title of host publication	Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	9780791850695
DOIs	https://doi.org/10.1115/DSCC2016-9755
State	Published - 2016
Externally published	Yes
Event	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016 - Minneapolis, United States Duration: 12 Oct 2016 → 14 Oct 2016

Publication series

Name	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016
Volume	1

Conference

Conference	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016
Country/Territory	United States
City	Minneapolis
Period	12/10/16 → 14/10/16

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Access to Document

10.1115/DSCC2016-9755

Cite this

Karagiannis, D., Radisavljevic-Gajic, V., & Ashrafiuon, H. (2016). Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties. In Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 1). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2016-9755

Karagiannis, Dimitri ; Radisavljevic-Gajic, Verica ; Ashrafiuon, Hashem. / Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties. Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016).

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title = "Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties",

abstract = "This work considers a 3-state nonlinear model with two inputs for the controlled dynamics of the human immunodeficiency virus (HIV). The three states represent the number of healthy and unhealthy T-cells as well as the number of free virus particles in a person's body. The two inputs represent two different types of anti-retroviral drugs that are available to treat a person infected with the virus. These inputs can be used to create a stable nominal point that is much healthier for the patient than the open-loop stable equilibrium point. The goal of this paper is to use the inputs, which are subject to constraints, to efficiently and accurately reach the desired nominal point despite parameter uncertainties. We have designed an integral sliding mode control law to achieve this goal, and simulations are presented to demonstrate the performance of the controller.",

author = "Dimitri Karagiannis and Verica Radisavljevic-Gajic and Hashem Ashrafiuon",

note = "Publisher Copyright: Copyright {\textcopyright} 2016 by ASME.; ASME 2016 Dynamic Systems and Control Conference, DSCC 2016 ; Conference date: 12-10-2016 Through 14-10-2016",

year = "2016",

doi = "10.1115/DSCC2016-9755",

language = "English",

series = "ASME 2016 Dynamic Systems and Control Conference, DSCC 2016",

publisher = "American Society of Mechanical Engineers",

booktitle = "Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation",

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Karagiannis, D, Radisavljevic-Gajic, V & Ashrafiuon, H 2016, Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties. in Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, vol. 1, American Society of Mechanical Engineers, ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, Minneapolis, United States, 12/10/16. https://doi.org/10.1115/DSCC2016-9755

Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties. / Karagiannis, Dimitri; Radisavljevic-Gajic, Verica; Ashrafiuon, Hashem.
Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 1).

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

TY - GEN

T1 - Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties

AU - Karagiannis, Dimitri

AU - Radisavljevic-Gajic, Verica

AU - Ashrafiuon, Hashem

PY - 2016

Y1 - 2016

N2 - This work considers a 3-state nonlinear model with two inputs for the controlled dynamics of the human immunodeficiency virus (HIV). The three states represent the number of healthy and unhealthy T-cells as well as the number of free virus particles in a person's body. The two inputs represent two different types of anti-retroviral drugs that are available to treat a person infected with the virus. These inputs can be used to create a stable nominal point that is much healthier for the patient than the open-loop stable equilibrium point. The goal of this paper is to use the inputs, which are subject to constraints, to efficiently and accurately reach the desired nominal point despite parameter uncertainties. We have designed an integral sliding mode control law to achieve this goal, and simulations are presented to demonstrate the performance of the controller.

AB - This work considers a 3-state nonlinear model with two inputs for the controlled dynamics of the human immunodeficiency virus (HIV). The three states represent the number of healthy and unhealthy T-cells as well as the number of free virus particles in a person's body. The two inputs represent two different types of anti-retroviral drugs that are available to treat a person infected with the virus. These inputs can be used to create a stable nominal point that is much healthier for the patient than the open-loop stable equilibrium point. The goal of this paper is to use the inputs, which are subject to constraints, to efficiently and accurately reach the desired nominal point despite parameter uncertainties. We have designed an integral sliding mode control law to achieve this goal, and simulations are presented to demonstrate the performance of the controller.

UR - https://www.scopus.com/pages/publications/85015966272

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DO - 10.1115/DSCC2016-9755

M3 - Conference contribution

AN - SCOPUS:85015966272

T3 - ASME 2016 Dynamic Systems and Control Conference, DSCC 2016

BT - Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation

PB - American Society of Mechanical Engineers

T2 - ASME 2016 Dynamic Systems and Control Conference, DSCC 2016

Y2 - 12 October 2016 through 14 October 2016

ER -

Karagiannis D, Radisavljevic-Gajic V, Ashrafiuon H. Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties. In Advances in Control Design Methods, Nonlinear and Optimal Control, Robotics, and Wind Energy Systems; Aerospace Applications; Assistive and Rehabilitation Robotics; Assistive Robotics; Battery and Oil and Gas Systems; Bioengineering Applications; Biomedical and Neural Systems Modeling, Diagnostics and Healthcare; Control and Monitoring of Vibratory Systems; Diagnostics and Detection; Energy Harvesting; Estimation and Identification; Fuel Cells/Energy Storage; Intelligent Transportation. American Society of Mechanical Engineers. 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016). doi: 10.1115/DSCC2016-9755

Control of human immunodeficiency virus (HIV) dynamics with parameter uncertainties

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