Output feedback stabilization of the linearized bilayer saint-venant model

Ababacar Diagne; Shuxia Tang; Mamadou Diagne; Miroslav Krstic

doi:10.1115/DSCC2016-9733

Output feedback stabilization of the linearized bilayer saint-venant model

Ababacar Diagne, Shuxia Tang, Mamadou Diagne, Miroslav Krstic

Mechanical Engineering

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

1 Scopus citations

Abstract

We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one with spatially-varying coefficients. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.

Original language	English
Title of host publication	Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	9780791850701
DOIs	https://doi.org/10.1115/DSCC2016-9733
State	Published - 2016
Event	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016 - Minneapolis, United States Duration: Oct 12 2016 → Oct 14 2016

Publication series

Name	ASME 2016 Dynamic Systems and Control Conference, DSCC 2016
Volume	2

Conference

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

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10.1115/DSCC2016-9733

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Diagne, A., Tang, S., Diagne, M., & Krstic, M. (2016). Output feedback stabilization of the linearized bilayer saint-venant model. In Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 2). American Society of Mechanical Engineers. https://doi.org/10.1115/DSCC2016-9733

Diagne, Ababacar ; Tang, Shuxia ; Diagne, Mamadou et al. / Output feedback stabilization of the linearized bilayer saint-venant model. Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016).

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title = "Output feedback stabilization of the linearized bilayer saint-venant model",

abstract = "We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one with spatially-varying coefficients. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.",

author = "Ababacar Diagne and Shuxia Tang and Mamadou Diagne and Miroslav Krstic",

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/DSCC2016-9733",

language = "English",

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

publisher = "American Society of Mechanical Engineers",

booktitle = "Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control",

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Diagne, A, Tang, S, Diagne, M & Krstic, M 2016, Output feedback stabilization of the linearized bilayer saint-venant model. in Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control. ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, vol. 2, American Society of Mechanical Engineers, ASME 2016 Dynamic Systems and Control Conference, DSCC 2016, Minneapolis, United States, 10/12/16. https://doi.org/10.1115/DSCC2016-9733

Output feedback stabilization of the linearized bilayer saint-venant model. / Diagne, Ababacar; Tang, Shuxia; Diagne, Mamadou et al.
Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control. American Society of Mechanical Engineers, 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016; Vol. 2).

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

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T1 - Output feedback stabilization of the linearized bilayer saint-venant model

AU - Diagne, Ababacar

AU - Tang, Shuxia

AU - Diagne, Mamadou

AU - Krstic, Miroslav

PY - 2016

Y1 - 2016

N2 - We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one with spatially-varying coefficients. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.

AB - We consider the problem of output feedback exponentially stabilizing the 1-D bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). The PDE backstepping control method is employed. Our designed output feedback controller is based on the observer built in this paper and the state feedback controller designed in [1], where the backstepping control design idea can also be referred to [2] and can be treated as a generalization of the result for the system with constant system coefficients [2] to the one with spatially-varying coefficients. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.

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

BT - Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control

PB - American Society of Mechanical Engineers

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

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Diagne A, Tang S, Diagne M, Krstic M. Output feedback stabilization of the linearized bilayer saint-venant model. In Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control. American Society of Mechanical Engineers. 2016. (ASME 2016 Dynamic Systems and Control Conference, DSCC 2016). doi: 10.1115/DSCC2016-9733

Output feedback stabilization of the linearized bilayer saint-venant model

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