Robust IDA‐PBC for underactuated mechanical systems subject to matched disturbances

Summary The problem of robustification of interconnection and damping assignment passivity‐based control for underactuated mechanical system vis‐à‐vis matched, constant, and unknown disturbances is addressed in the paper. This is achieved adding an outer‐loop controller to the interconnection and da...

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Veröffentlicht in:International journal of robust and nonlinear control 2017-04, Vol.27 (6), p.1000-1016
Hauptverfasser: Donaire, Alejandro, Romero, Jose Guadalupe, Ortega, Romeo, Siciliano, Bruno, Crespo, Martin
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container_end_page 1016
container_issue 6
container_start_page 1000
container_title International journal of robust and nonlinear control
container_volume 27
creator Donaire, Alejandro
Romero, Jose Guadalupe
Ortega, Romeo
Siciliano, Bruno
Crespo, Martin
description Summary The problem of robustification of interconnection and damping assignment passivity‐based control for underactuated mechanical system vis‐à‐vis matched, constant, and unknown disturbances is addressed in the paper. This is achieved adding an outer‐loop controller to the interconnection and damping assignment passivity‐based control. Three designs are proposed, with the first one being a simple nonlinear PI, while the second and the third ones are nonlinear PIDs. While all controllers ensure stability of the desired equilibrium in spite of the presence of the disturbances, the inclusion of the derivative term allows us to inject further damping enlarging the class of systems for which asymptotic stability is ensured. Numerical simulations of the Acrobot system and experimental results on the disk‐on‐disk system illustrate the performance of the proposed controller. Copyright © 2016 John Wiley & Sons, Ltd.
doi_str_mv 10.1002/rnc.3615
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subjects Automatic
Automatic Control Engineering
Computer Science
Control stability
Controllers
Damping
disturbance rejection
Disturbances
Engineering Sciences
Interconnection
Mechanical systems
Nonlinearity
passivity‐based control
Robustness (mathematics)
stabilization of nonlinear systems
title Robust IDA‐PBC for underactuated mechanical systems subject to matched disturbances
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