Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell

Verica Radisavljevic-Gajic; Patrick Rose; Garrett M. Clayton

doi:10.1115/DSCC2015-9973

Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell

Verica Radisavljevic-Gajic
, Patrick Rose
, Garrett M. Clayton

Villanova University College of Engineering

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

1 Scopus citations

Abstract

The paper considers the eighth-order proton exchange membrane (PEM) fuel-cell mathematical model and shows that it has a multi-time scale property, indicating that the dynamics of three model state space variables operate in the slow time scale and the dynamics of five state variables operate in the fast time scale. This multi-scale nature allows independent controllers to be designed in slow and fast time scales using only corresponding reduced-order slow (of dimension three) and fast (of dimension five) sub-models. The presented design facilitates the design of hybrid controllers, for example, the linear-quadratic optimal controller for the slow subsystem and the eigenvalue assignment controller for the fast subsystem. The design efficiency and its high accuracy are demonstrated via simulation on the considered PEM fuel cell model.

Original language	English
Title of host publication	Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2
Subtitle of host publication	Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	9780791857243
DOIs	https://doi.org/10.1115/DSCC2015-9973
State	Published - 2015
Externally published	Yes
Event	ASME 2015 Dynamic Systems and Control Conference, DSCC 2015 - Columbus, United States Duration: 28 Oct 2015 → 30 Oct 2015

Publication series

Name	ASME 2015 Dynamic Systems and Control Conference, DSCC 2015
Volume	1

Conference

Conference	ASME 2015 Dynamic Systems and Control Conference, DSCC 2015
Country/Territory	United States
City	Columbus
Period	28/10/15 → 30/10/15

UN SDGs

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

SDG 7 Affordable and Clean Energy

Keywords

High accuracy design
Linear feedback controllers
Proton exchange membrane (PEM) fuel cells
Systems with slow and fast modes
Two-stage design

Access to Document

10.1115/DSCC2015-9973

Cite this

Radisavljevic-Gajic, V., Rose, P., & Clayton, G. M. (2015). Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell. In Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2: Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems (ASME 2015 Dynamic Systems and Control Conference, DSCC 2015; Vol. 1). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2015-9973

Radisavljevic-Gajic, Verica ; Rose, Patrick ; Clayton, Garrett M. / Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell. Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2: Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems. American Society of Mechanical Engineers, 2015. (ASME 2015 Dynamic Systems and Control Conference, DSCC 2015).

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title = "Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell",

abstract = "The paper considers the eighth-order proton exchange membrane (PEM) fuel-cell mathematical model and shows that it has a multi-time scale property, indicating that the dynamics of three model state space variables operate in the slow time scale and the dynamics of five state variables operate in the fast time scale. This multi-scale nature allows independent controllers to be designed in slow and fast time scales using only corresponding reduced-order slow (of dimension three) and fast (of dimension five) sub-models. The presented design facilitates the design of hybrid controllers, for example, the linear-quadratic optimal controller for the slow subsystem and the eigenvalue assignment controller for the fast subsystem. The design efficiency and its high accuracy are demonstrated via simulation on the considered PEM fuel cell model.",

keywords = "High accuracy design, Linear feedback controllers, Proton exchange membrane (PEM) fuel cells, Systems with slow and fast modes, Two-stage design",

author = "Verica Radisavljevic-Gajic and Patrick Rose and Clayton, \{Garrett M.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2015 by ASME.; ASME 2015 Dynamic Systems and Control Conference, DSCC 2015 ; Conference date: 28-10-2015 Through 30-10-2015",

year = "2015",

doi = "10.1115/DSCC2015-9973",

language = "English",

series = "ASME 2015 Dynamic Systems and Control Conference, DSCC 2015",

publisher = "American Society of Mechanical Engineers",

booktitle = "Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2",

}

Radisavljevic-Gajic, V, Rose, P & Clayton, GM 2015, Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell. in Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2: Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems. ASME 2015 Dynamic Systems and Control Conference, DSCC 2015, vol. 1, American Society of Mechanical Engineers, ASME 2015 Dynamic Systems and Control Conference, DSCC 2015, Columbus, United States, 28/10/15. https://doi.org/10.1115/DSCC2015-9973

Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell. / Radisavljevic-Gajic, Verica; Rose, Patrick; Clayton, Garrett M.
Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2: Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems. American Society of Mechanical Engineers, 2015. (ASME 2015 Dynamic Systems and Control Conference, DSCC 2015; Vol. 1).

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

TY - GEN

T1 - Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell

AU - Radisavljevic-Gajic, Verica

AU - Rose, Patrick

AU - Clayton, Garrett M.

PY - 2015

Y1 - 2015

N2 - The paper considers the eighth-order proton exchange membrane (PEM) fuel-cell mathematical model and shows that it has a multi-time scale property, indicating that the dynamics of three model state space variables operate in the slow time scale and the dynamics of five state variables operate in the fast time scale. This multi-scale nature allows independent controllers to be designed in slow and fast time scales using only corresponding reduced-order slow (of dimension three) and fast (of dimension five) sub-models. The presented design facilitates the design of hybrid controllers, for example, the linear-quadratic optimal controller for the slow subsystem and the eigenvalue assignment controller for the fast subsystem. The design efficiency and its high accuracy are demonstrated via simulation on the considered PEM fuel cell model.

AB - The paper considers the eighth-order proton exchange membrane (PEM) fuel-cell mathematical model and shows that it has a multi-time scale property, indicating that the dynamics of three model state space variables operate in the slow time scale and the dynamics of five state variables operate in the fast time scale. This multi-scale nature allows independent controllers to be designed in slow and fast time scales using only corresponding reduced-order slow (of dimension three) and fast (of dimension five) sub-models. The presented design facilitates the design of hybrid controllers, for example, the linear-quadratic optimal controller for the slow subsystem and the eigenvalue assignment controller for the fast subsystem. The design efficiency and its high accuracy are demonstrated via simulation on the considered PEM fuel cell model.

KW - High accuracy design

KW - Linear feedback controllers

KW - Proton exchange membrane (PEM) fuel cells

KW - Systems with slow and fast modes

KW - Two-stage design

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DO - 10.1115/DSCC2015-9973

M3 - Conference contribution

AN - SCOPUS:84973301092

T3 - ASME 2015 Dynamic Systems and Control Conference, DSCC 2015

BT - Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2

PB - American Society of Mechanical Engineers

T2 - ASME 2015 Dynamic Systems and Control Conference, DSCC 2015

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ER -

Radisavljevic-Gajic V, Rose P, Clayton GM. Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell. In Adaptive and Intelligent Systems Control; Advances in Control Design Methods; Advances in Non-Linear and Optimal Control; Advances in Robotics; Advances in Wind Energy Systems; Aerospace Applications; Aerospace Power Optimization; Assistive Robotics; Automotive 2: Hybrid Electric Vehicles; Automotive 3: Internal Combustion Engines; Automotive Engine Control; Battery Management; Bio Engineering Applications; Biomed and Neural Systems; Connected Vehicles; Control of Robotic Systems. American Society of Mechanical Engineers. 2015. (ASME 2015 Dynamic Systems and Control Conference, DSCC 2015). doi: 10.1115/DSCC2015-9973

Two-stage design of linear feedback controllers for a proton exchange membrane fuel cell

Abstract

Publication series

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UN SDGs

Keywords

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