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---
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abstract: In this paper we present a viability-based formulation for the stabilization
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of an underactuated underwater vehicle under the influence of a known, constant
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current and state constraints. The stabilization problem is described by three problems
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in terms of viability theory. We present a solution to the first problem which addresses
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the safety of the system, i.e. guarantees that there exists a control law such that
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the vehicle always remains into the safe set of state constraints. In order to overcome
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the computational limitations due to the high dimension of the system we develop
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a two-stage approach, based on forward reachability and game theory. The control
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law is thus the safety controller when the system viability is at stake, i.e. close
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to the boundary of the safe set. The viability kernel and the control law are numerically
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computed.
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authors:
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- dimitrapanagou
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- Kostas Margellos
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- Sean Summers
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- John Lygeros
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- Kostas J. Kyriakopoulos
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bib: "@inproceedings{DBLP:conf/cdc/PanagouMSLK09,\n author = {Dimitra Panagou\
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\ and\n Kostas Margellos and\n Sean Summers and\n\
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\ John Lygeros and\n Kostas J. Kyriakopoulos},\n\
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\ title = {A viability approach for the stabilization of an underactuated\
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\ underwater\n vehicle in the presence of current disturbances},\n\
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\ booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,\n\
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\ {CDC} 2009, combined withe the 28th Chinese Control Conference,\
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\ December\n 16-18, 2009, Shanghai, China},\n pages = {8612--8617},\n\
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\ publisher = {{IEEE}},\n year = {2009},\n url = {https://doi.org/10.1109/CDC.2009.5400954},\n\
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\ doi = {10.1109/CDC.2009.5400954},\n timestamp = {Fri, 04 Mar 2022\
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\ 13:27:41 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouMSLK09.bib},\n\
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\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2009-01-01
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key: conf/cdc/PanagouMSLK09
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layout: papers
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title: "A viability approach for the stabilization of an underactuated underwater vehicle in the presence of current disturbances."
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date: 2009-01-01
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venue: "CDC"
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authors:
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- dimitrapanagou
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- Kostas Margellos
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- Sean Summers
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- John Lygeros
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- Kostas J. Kyriakopoulos
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link: https://doi.org/10.1109/CDC.2009.5400954
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bib: |-
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@inproceedings{DBLP:conf/cdc/PanagouMSLK09,
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author = {Dimitra Panagou and
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Kostas Margellos and
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Sean Summers and
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John Lygeros and
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Kostas J. Kyriakopoulos},
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title = {A viability approach for the stabilization of an underactuated underwater
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vehicle in the presence of current disturbances},
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booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,
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{CDC} 2009, combined withe the 28th Chinese Control Conference, December
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16-18, 2009, Shanghai, China},
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pages = {8612--8617},
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publisher = {{IEEE}},
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year = {2009},
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url = {https://doi.org/10.1109/CDC.2009.5400954},
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doi = {10.1109/CDC.2009.5400954},
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timestamp = {Fri, 04 Mar 2022 13:27:41 +0100},
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biburl = {https://dblp.org/rec/conf/cdc/PanagouMSLK09.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: A viability approach for the stabilization of an underactuated underwater vehicle
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in the presence of current disturbances.
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venue: CDC
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---
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---
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abstract: This paper introduces a framework that guides the design of stabilizing
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feedback control laws for systems with Pfaffian constraints. A new class of N-dimensional
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vector fields, the dipole-like vector fields is proposed, inspired by the form of
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the flow lines of the electric point dipole. A general connection between the dipole-like
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field and the Pfaffian constraints of catastatic nonholonomic systems is exploited,
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to establish systematic guidelines on the design of stabilizing control laws. The
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methodology is applied to the stabilization of the unicycle and of the nonholonomic
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double integrator. Based on these guidelines, switching control laws are constructed.
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The efficacy of the methodology is demonstrated through simulation results.
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authors:
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- dimitrapanagou
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- Herbert G. Tanner
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- Kostas J. Kyriakopoulos
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bib: "@inproceedings{DBLP:conf/icra/PanagouTK10,\n author = {Dimitra Panagou\
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\ and\n Herbert G. Tanner and\n Kostas J. Kyriakopoulos},\n\
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\ title = {Dipole-like fields for stabilization of systems with Pfaffian\
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\ constraints},\n booktitle = {{IEEE} International Conference on Robotics and\
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\ Automation, {ICRA}\n 2010, Anchorage, Alaska, USA, 3-7 May 2010},\n\
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\ pages = {4499--4504},\n publisher = {{IEEE}},\n year = {2010},\n\
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\ url = {https://doi.org/10.1109/ROBOT.2010.5509296},\n doi \
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\ = {10.1109/ROBOT.2010.5509296},\n timestamp = {Mon, 06 Nov 2017 12:15:02 +0100},\n\
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\ biburl = {https://dblp.org/rec/conf/icra/PanagouTK10.bib},\n bibsource\
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\ = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2010-01-01
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key: conf/icra/PanagouTK10
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layout: papers
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title: "Dipole-like fields for stabilization of systems with Pfaffian constraints."
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date: 2010-01-01
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venue: "ICRA"
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authors:
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- dimitrapanagou
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- Herbert G. Tanner
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- Kostas J. Kyriakopoulos
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link: https://doi.org/10.1109/ROBOT.2010.5509296
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bib: |-
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@inproceedings{DBLP:conf/icra/PanagouTK10,
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author = {Dimitra Panagou and
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Herbert G. Tanner and
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Kostas J. Kyriakopoulos},
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title = {Dipole-like fields for stabilization of systems with Pfaffian constraints},
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booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
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2010, Anchorage, Alaska, USA, 3-7 May 2010},
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pages = {4499--4504},
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publisher = {{IEEE}},
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year = {2010},
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url = {https://doi.org/10.1109/ROBOT.2010.5509296},
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doi = {10.1109/ROBOT.2010.5509296},
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timestamp = {Mon, 06 Nov 2017 12:15:02 +0100},
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biburl = {https://dblp.org/rec/conf/icra/PanagouTK10.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: Dipole-like fields for stabilization of systems with Pfaffian constraints.
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venue: ICRA
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---
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---
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abstract: "This paper presents a control design methodology for n-dimensional nonholonomic\
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\ systems. The main idea is that, given a nonholonomic system subject to \u03BA\
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\ Pfaffian constraints, one can define a smooth, N-dimensional reference vector\
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\ field F, which is nonsingular everywhere except for a submanifold containing the\
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\ origin. The dimension N \u2264 n of F depends on the structure of the constraint\
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\ equations, which induces a foliation of the configuration space. This foliation,\
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\ together with the objective of having the system vector field aligned with F,\
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\ suggests a choice of Lyapunov-like functions V. The proposed approach recasts\
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\ the original nonholonomic control problem into a lower-dimensional output regulation\
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\ problem, which although nontrivial, can more easily be tackled with existing design\
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\ and analysis tools. The methodology applies to a wide class of nonholonomic systems,\
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\ and its efficacy is demonstrated through numerical simulations for the cases of\
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\ the unicycle and the n-dimensional chained systems, for n = 3, 4."
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authors:
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- dimitrapanagou
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- Herbert G. Tanner
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- Kostas J. Kyriakopoulos
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bib: "@inproceedings{DBLP:conf/cdc/PanagouTK11,\n author = {Dimitra Panagou\
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\ and\n Herbert G. Tanner and\n Kostas J. Kyriakopoulos},\n\
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\ title = {Control of nonholonomic systems using reference vector fields},\n\
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\ booktitle = {50th {IEEE} Conference on Decision and Control and European Control\n\
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\ Conference, 11th European Control Conference, {CDC/ECC} 2011,\
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\ Orlando,\n FL, USA, December 12-15, 2011},\n pages =\
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\ {2831--2836},\n publisher = {{IEEE}},\n year = {2011},\n url \
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\ = {https://doi.org/10.1109/CDC.2011.6160922},\n doi = {10.1109/CDC.2011.6160922},\n\
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\ timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouTK11.bib},\n\
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\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2011-01-01
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key: conf/cdc/PanagouTK11
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layout: papers
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title: "Control of nonholonomic systems using reference vector fields."
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date: 2011-01-01
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venue: "CDC/ECC"
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authors:
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- dimitrapanagou
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- Herbert G. Tanner
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- Kostas J. Kyriakopoulos
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link: https://doi.org/10.1109/CDC.2011.6160922
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bib: |-
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@inproceedings{DBLP:conf/cdc/PanagouTK11,
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author = {Dimitra Panagou and
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Herbert G. Tanner and
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Kostas J. Kyriakopoulos},
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title = {Control of nonholonomic systems using reference vector fields},
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booktitle = {50th {IEEE} Conference on Decision and Control and European Control
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Conference, 11th European Control Conference, {CDC/ECC} 2011, Orlando,
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FL, USA, December 12-15, 2011},
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pages = {2831--2836},
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publisher = {{IEEE}},
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year = {2011},
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url = {https://doi.org/10.1109/CDC.2011.6160922},
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doi = {10.1109/CDC.2011.6160922},
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timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},
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biburl = {https://dblp.org/rec/conf/cdc/PanagouTK11.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: Control of nonholonomic systems using reference vector fields.
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venue: CDC/ECC
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---
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---
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abstract: This paper addresses the control design for a class of nonholonomic systems
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which are subject to inequality state constraints defining a constrained (viability)
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set K. Based on concepts from viability theory, the necessary conditions for selecting
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viable controls for a nonholonomic system are given. Furthermore, a class of nonholonomic
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control solutions are redesigned by means of switching control, so that system trajectories
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are viable in K and converge to a goal set G in K. The motion control for an underactuated
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marine vehicle in a constrained configuration set K is treated as a case study.
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The set K essentially describes the limited sensing area of a vision-based sensor
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system, and viable control laws which establish convergence to a goal set G in K
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are constructed. The efficacy of the methodology is demonstrated through simulation
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results.
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authors:
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- dimitrapanagou
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- Kostas J. Kyriakopoulos
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bib: "@inproceedings{DBLP:conf/cdc/PanagouK11,\n author = {Dimitra Panagou\
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\ and\n Kostas J. Kyriakopoulos},\n title = {Control of\
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\ underactuated systems with viability constraints},\n booktitle = {50th {IEEE}\
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\ Conference on Decision and Control and European Control\n Conference,\
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\ 11th European Control Conference, {CDC/ECC} 2011, Orlando,\n \
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\ FL, USA, December 12-15, 2011},\n pages = {5497--5502},\n publisher \
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\ = {{IEEE}},\n year = {2011},\n url = {https://doi.org/10.1109/CDC.2011.6160925},\n\
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\ doi = {10.1109/CDC.2011.6160925},\n timestamp = {Wed, 24 Feb 2021\
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\ 08:49:08 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouK11.bib},\n\
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\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2011-01-01
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key: conf/cdc/PanagouK11
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layout: papers
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title: "Control of underactuated systems with viability constraints."
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date: 2011-01-01
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venue: "CDC/ECC"
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authors:
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- dimitrapanagou
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- Kostas J. Kyriakopoulos
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link: https://doi.org/10.1109/CDC.2011.6160925
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bib: |-
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@inproceedings{DBLP:conf/cdc/PanagouK11,
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author = {Dimitra Panagou and
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Kostas J. Kyriakopoulos},
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title = {Control of underactuated systems with viability constraints},
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booktitle = {50th {IEEE} Conference on Decision and Control and European Control
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Conference, 11th European Control Conference, {CDC/ECC} 2011, Orlando,
18-
FL, USA, December 12-15, 2011},
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pages = {5497--5502},
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publisher = {{IEEE}},
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year = {2011},
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url = {https://doi.org/10.1109/CDC.2011.6160925},
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doi = {10.1109/CDC.2011.6160925},
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timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},
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biburl = {https://dblp.org/rec/conf/cdc/PanagouK11.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: Control of underactuated systems with viability constraints.
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venue: CDC/ECC
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---
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---
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abstract: This paper presents a solution to the robust practical stabilization of
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a unicycle-like marine vehicle, under non-vanishing current-induced perturbations.
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A hysteresis-based switching control strategy is proposed, rendering the system
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globally practically stable to a set G around the origin. The control scheme consists
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of three control laws; the first one is active out of G and drives the system trajectories
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into G, based on a dipole-like vector field. The other two control laws are active
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in G and alternately regulate the position and the orientation of the vehicle. The
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system is shown to be robust, in the sense that the vehicle enters and remains into
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G even if only a maximum bound of the perturbation is known. The efficacy of the
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solution is demonstrated through simulation results.
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authors:
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- dimitrapanagou
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- Kostas J. Kyriakopoulos
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bib: "@inproceedings{DBLP:conf/icra/PanagouK11,\n author = {Dimitra Panagou\
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\ and\n Kostas J. Kyriakopoulos},\n title = {Switching\
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\ control approach for the robust practical stabilization\n of\
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\ a unicycle-like marine vehicle under non-vanishing perturbations},\n booktitle\
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\ = {{IEEE} International Conference on Robotics and Automation, {ICRA}\n \
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\ 2011, Shanghai, China, 9-13 May 2011},\n pages = {1525--1530},\n\
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\ publisher = {{IEEE}},\n year = {2011},\n url = {https://doi.org/10.1109/ICRA.2011.5979747},\n\
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\ doi = {10.1109/ICRA.2011.5979747},\n timestamp = {Mon, 06 Nov 2017\
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\ 12:15:03 +0100},\n biburl = {https://dblp.org/rec/conf/icra/PanagouK11.bib},\n\
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\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2011-01-01
226
key: conf/icra/PanagouK11
327
layout: papers
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title: "Switching control approach for the robust practical stabilization of a unicycle-like marine vehicle under non-vanishing perturbations."
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date: 2011-01-01
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venue: "ICRA"
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authors:
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- dimitrapanagou
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- Kostas J. Kyriakopoulos
1028
link: https://doi.org/10.1109/ICRA.2011.5979747
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bib: |-
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@inproceedings{DBLP:conf/icra/PanagouK11,
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author = {Dimitra Panagou and
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Kostas J. Kyriakopoulos},
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title = {Switching control approach for the robust practical stabilization
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of a unicycle-like marine vehicle under non-vanishing perturbations},
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booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
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2011, Shanghai, China, 9-13 May 2011},
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pages = {1525--1530},
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publisher = {{IEEE}},
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year = {2011},
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url = {https://doi.org/10.1109/ICRA.2011.5979747},
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doi = {10.1109/ICRA.2011.5979747},
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timestamp = {Mon, 06 Nov 2017 12:15:03 +0100},
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biburl = {https://dblp.org/rec/conf/icra/PanagouK11.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: Switching control approach for the robust practical stabilization of a unicycle-like
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marine vehicle under non-vanishing perturbations.
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venue: ICRA
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---
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---
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abstract: This paper addresses the problem of controlling a leader-follower (L - F)
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formation of two unicycle mobile robots moving under visibility constraints in a
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known obstacle environment. Visibility constraints are realized as inequality state
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constraints that determine a visibility set K. Maintaining visibility is translated
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into controlling the robots so that system trajectories starting in K always remain
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in K. We provide the conditions under which visibility is maintained, as well as
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a feedback control scheme that forces F to converge and remain into a set of desired
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configurations w.r.t. L while maintaining visibility. We also propose a cooperative
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control scheme for the motion of the formation in a known obstacle environment,
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so that both collision avoidance and maintaining visibility are ensured. The proposed
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control schemes are decentralized, in the sense that there is no direct communication
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between the robots. The efficacy of our algorithms is evaluated through simulations.
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authors:
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- dimitrapanagou
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- Vijay Kumar
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bib: "@inproceedings{DBLP:conf/icra/PanagouK12,\n author = {Dimitra Panagou\
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\ and\n Vijay Kumar},\n title = {Maintaining visibility\
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\ for leader-follower formations in obstacle\n environments},\n\
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\ booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}\n\
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\ 2012, 14-18 May, 2012, St. Paul, Minnesota, {USA}},\n pages\
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\ = {1811--1816},\n publisher = {{IEEE}},\n year = {2012},\n\
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\ url = {https://doi.org/10.1109/ICRA.2012.6224893},\n doi =\
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\ {10.1109/ICRA.2012.6224893},\n timestamp = {Wed, 16 Oct 2019 14:14:51 +0200},\n\
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\ biburl = {https://dblp.org/rec/conf/icra/PanagouK12.bib},\n bibsource\
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\ = {dblp computer science bibliography, https://dblp.org}\n}"
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date: 2012-01-01
228
key: conf/icra/PanagouK12
329
layout: papers
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title: "Maintaining visibility for leader-follower formations in obstacle environments."
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date: 2012-01-01
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venue: "ICRA"
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authors:
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- dimitrapanagou
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- Vijay Kumar
1030
link: https://doi.org/10.1109/ICRA.2012.6224893
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bib: |-
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@inproceedings{DBLP:conf/icra/PanagouK12,
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author = {Dimitra Panagou and
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Vijay Kumar},
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title = {Maintaining visibility for leader-follower formations in obstacle
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environments},
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booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
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2012, 14-18 May, 2012, St. Paul, Minnesota, {USA}},
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pages = {1811--1816},
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publisher = {{IEEE}},
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year = {2012},
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url = {https://doi.org/10.1109/ICRA.2012.6224893},
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doi = {10.1109/ICRA.2012.6224893},
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timestamp = {Wed, 16 Oct 2019 14:14:51 +0200},
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biburl = {https://dblp.org/rec/conf/icra/PanagouK12.bib},
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bibsource = {dblp computer science bibliography, https://dblp.org}
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}
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title: Maintaining visibility for leader-follower formations in obstacle environments.
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venue: ICRA
3033
---

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