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---
abstract: In this paper we present a viability-based formulation for the stabilization
of an underactuated underwater vehicle under the influence of a known, constant
current and state constraints. The stabilization problem is described by three problems
in terms of viability theory. We present a solution to the first problem which addresses
the safety of the system, i.e. guarantees that there exists a control law such that
the vehicle always remains into the safe set of state constraints. In order to overcome
the computational limitations due to the high dimension of the system we develop
a two-stage approach, based on forward reachability and game theory. The control
law is thus the safety controller when the system viability is at stake, i.e. close
to the boundary of the safe set. The viability kernel and the control law are numerically
computed.
authors:
- dimitrapanagou
- Kostas Margellos
- Sean Summers
- John Lygeros
- Kostas J. Kyriakopoulos
bib: "@inproceedings{DBLP:conf/cdc/PanagouMSLK09,\n author = {Dimitra Panagou\
\ and\n Kostas Margellos and\n Sean Summers and\n\
\ John Lygeros and\n Kostas J. Kyriakopoulos},\n\
\ title = {A viability approach for the stabilization of an underactuated\
\ underwater\n vehicle in the presence of current disturbances},\n\
\ booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,\n\
\ {CDC} 2009, combined withe the 28th Chinese Control Conference,\
\ December\n 16-18, 2009, Shanghai, China},\n pages = {8612--8617},\n\
\ publisher = {{IEEE}},\n year = {2009},\n url = {https://doi.org/10.1109/CDC.2009.5400954},\n\
\ doi = {10.1109/CDC.2009.5400954},\n timestamp = {Fri, 04 Mar 2022\
\ 13:27:41 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouMSLK09.bib},\n\
\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2009-01-01
key: conf/cdc/PanagouMSLK09
layout: papers
title: "A viability approach for the stabilization of an underactuated underwater vehicle in the presence of current disturbances."
date: 2009-01-01
venue: "CDC"
authors:
- dimitrapanagou
- Kostas Margellos
- Sean Summers
- John Lygeros
- Kostas J. Kyriakopoulos
link: https://doi.org/10.1109/CDC.2009.5400954
bib: |-
@inproceedings{DBLP:conf/cdc/PanagouMSLK09,
author = {Dimitra Panagou and
Kostas Margellos and
Sean Summers and
John Lygeros and
Kostas J. Kyriakopoulos},
title = {A viability approach for the stabilization of an underactuated underwater
vehicle in the presence of current disturbances},
booktitle = {Proceedings of the 48th {IEEE} Conference on Decision and Control,
{CDC} 2009, combined withe the 28th Chinese Control Conference, December
16-18, 2009, Shanghai, China},
pages = {8612--8617},
publisher = {{IEEE}},
year = {2009},
url = {https://doi.org/10.1109/CDC.2009.5400954},
doi = {10.1109/CDC.2009.5400954},
timestamp = {Fri, 04 Mar 2022 13:27:41 +0100},
biburl = {https://dblp.org/rec/conf/cdc/PanagouMSLK09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: A viability approach for the stabilization of an underactuated underwater vehicle
in the presence of current disturbances.
venue: CDC
---
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@@ -1,31 +1,31 @@
---
abstract: This paper introduces a framework that guides the design of stabilizing
feedback control laws for systems with Pfaffian constraints. A new class of N-dimensional
vector fields, the dipole-like vector fields is proposed, inspired by the form of
the flow lines of the electric point dipole. A general connection between the dipole-like
field and the Pfaffian constraints of catastatic nonholonomic systems is exploited,
to establish systematic guidelines on the design of stabilizing control laws. The
methodology is applied to the stabilization of the unicycle and of the nonholonomic
double integrator. Based on these guidelines, switching control laws are constructed.
The efficacy of the methodology is demonstrated through simulation results.
authors:
- dimitrapanagou
- Herbert G. Tanner
- Kostas J. Kyriakopoulos
bib: "@inproceedings{DBLP:conf/icra/PanagouTK10,\n author = {Dimitra Panagou\
\ and\n Herbert G. Tanner and\n Kostas J. Kyriakopoulos},\n\
\ title = {Dipole-like fields for stabilization of systems with Pfaffian\
\ constraints},\n booktitle = {{IEEE} International Conference on Robotics and\
\ Automation, {ICRA}\n 2010, Anchorage, Alaska, USA, 3-7 May 2010},\n\
\ pages = {4499--4504},\n publisher = {{IEEE}},\n year = {2010},\n\
\ url = {https://doi.org/10.1109/ROBOT.2010.5509296},\n doi \
\ = {10.1109/ROBOT.2010.5509296},\n timestamp = {Mon, 06 Nov 2017 12:15:02 +0100},\n\
\ biburl = {https://dblp.org/rec/conf/icra/PanagouTK10.bib},\n bibsource\
\ = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2010-01-01
key: conf/icra/PanagouTK10
layout: papers
title: "Dipole-like fields for stabilization of systems with Pfaffian constraints."
date: 2010-01-01
venue: "ICRA"
authors:
- dimitrapanagou
- Herbert G. Tanner
- Kostas J. Kyriakopoulos
link: https://doi.org/10.1109/ROBOT.2010.5509296
bib: |-
@inproceedings{DBLP:conf/icra/PanagouTK10,
author = {Dimitra Panagou and
Herbert G. Tanner and
Kostas J. Kyriakopoulos},
title = {Dipole-like fields for stabilization of systems with Pfaffian constraints},
booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
2010, Anchorage, Alaska, USA, 3-7 May 2010},
pages = {4499--4504},
publisher = {{IEEE}},
year = {2010},
url = {https://doi.org/10.1109/ROBOT.2010.5509296},
doi = {10.1109/ROBOT.2010.5509296},
timestamp = {Mon, 06 Nov 2017 12:15:02 +0100},
biburl = {https://dblp.org/rec/conf/icra/PanagouTK10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: Dipole-like fields for stabilization of systems with Pfaffian constraints.
venue: ICRA
---
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@@ -1,32 +1,35 @@
---
abstract: "This paper presents a control design methodology for n-dimensional nonholonomic\
\ systems. The main idea is that, given a nonholonomic system subject to \u03BA\
\ Pfaffian constraints, one can define a smooth, N-dimensional reference vector\
\ field F, which is nonsingular everywhere except for a submanifold containing the\
\ origin. The dimension N \u2264 n of F depends on the structure of the constraint\
\ equations, which induces a foliation of the configuration space. This foliation,\
\ together with the objective of having the system vector field aligned with F,\
\ suggests a choice of Lyapunov-like functions V. The proposed approach recasts\
\ the original nonholonomic control problem into a lower-dimensional output regulation\
\ problem, which although nontrivial, can more easily be tackled with existing design\
\ and analysis tools. The methodology applies to a wide class of nonholonomic systems,\
\ and its efficacy is demonstrated through numerical simulations for the cases of\
\ the unicycle and the n-dimensional chained systems, for n = 3, 4."
authors:
- dimitrapanagou
- Herbert G. Tanner
- Kostas J. Kyriakopoulos
bib: "@inproceedings{DBLP:conf/cdc/PanagouTK11,\n author = {Dimitra Panagou\
\ and\n Herbert G. Tanner and\n Kostas J. Kyriakopoulos},\n\
\ title = {Control of nonholonomic systems using reference vector fields},\n\
\ booktitle = {50th {IEEE} Conference on Decision and Control and European Control\n\
\ Conference, 11th European Control Conference, {CDC/ECC} 2011,\
\ Orlando,\n FL, USA, December 12-15, 2011},\n pages =\
\ {2831--2836},\n publisher = {{IEEE}},\n year = {2011},\n url \
\ = {https://doi.org/10.1109/CDC.2011.6160922},\n doi = {10.1109/CDC.2011.6160922},\n\
\ timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouTK11.bib},\n\
\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2011-01-01
key: conf/cdc/PanagouTK11
layout: papers
title: "Control of nonholonomic systems using reference vector fields."
date: 2011-01-01
venue: "CDC/ECC"
authors:
- dimitrapanagou
- Herbert G. Tanner
- Kostas J. Kyriakopoulos
link: https://doi.org/10.1109/CDC.2011.6160922
bib: |-
@inproceedings{DBLP:conf/cdc/PanagouTK11,
author = {Dimitra Panagou and
Herbert G. Tanner and
Kostas J. Kyriakopoulos},
title = {Control of nonholonomic systems using reference vector fields},
booktitle = {50th {IEEE} Conference on Decision and Control and European Control
Conference, 11th European Control Conference, {CDC/ECC} 2011, Orlando,
FL, USA, December 12-15, 2011},
pages = {2831--2836},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/CDC.2011.6160922},
doi = {10.1109/CDC.2011.6160922},
timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},
biburl = {https://dblp.org/rec/conf/cdc/PanagouTK11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: Control of nonholonomic systems using reference vector fields.
venue: CDC/ECC
---
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@@ -1,30 +1,32 @@
---
abstract: This paper addresses the control design for a class of nonholonomic systems
which are subject to inequality state constraints defining a constrained (viability)
set K. Based on concepts from viability theory, the necessary conditions for selecting
viable controls for a nonholonomic system are given. Furthermore, a class of nonholonomic
control solutions are redesigned by means of switching control, so that system trajectories
are viable in K and converge to a goal set G in K. The motion control for an underactuated
marine vehicle in a constrained configuration set K is treated as a case study.
The set K essentially describes the limited sensing area of a vision-based sensor
system, and viable control laws which establish convergence to a goal set G in K
are constructed. The efficacy of the methodology is demonstrated through simulation
results.
authors:
- dimitrapanagou
- Kostas J. Kyriakopoulos
bib: "@inproceedings{DBLP:conf/cdc/PanagouK11,\n author = {Dimitra Panagou\
\ and\n Kostas J. Kyriakopoulos},\n title = {Control of\
\ underactuated systems with viability constraints},\n booktitle = {50th {IEEE}\
\ Conference on Decision and Control and European Control\n Conference,\
\ 11th European Control Conference, {CDC/ECC} 2011, Orlando,\n \
\ FL, USA, December 12-15, 2011},\n pages = {5497--5502},\n publisher \
\ = {{IEEE}},\n year = {2011},\n url = {https://doi.org/10.1109/CDC.2011.6160925},\n\
\ doi = {10.1109/CDC.2011.6160925},\n timestamp = {Wed, 24 Feb 2021\
\ 08:49:08 +0100},\n biburl = {https://dblp.org/rec/conf/cdc/PanagouK11.bib},\n\
\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2011-01-01
key: conf/cdc/PanagouK11
layout: papers
title: "Control of underactuated systems with viability constraints."
date: 2011-01-01
venue: "CDC/ECC"
authors:
- dimitrapanagou
- Kostas J. Kyriakopoulos
link: https://doi.org/10.1109/CDC.2011.6160925
bib: |-
@inproceedings{DBLP:conf/cdc/PanagouK11,
author = {Dimitra Panagou and
Kostas J. Kyriakopoulos},
title = {Control of underactuated systems with viability constraints},
booktitle = {50th {IEEE} Conference on Decision and Control and European Control
Conference, 11th European Control Conference, {CDC/ECC} 2011, Orlando,
FL, USA, December 12-15, 2011},
pages = {5497--5502},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/CDC.2011.6160925},
doi = {10.1109/CDC.2011.6160925},
timestamp = {Wed, 24 Feb 2021 08:49:08 +0100},
biburl = {https://dblp.org/rec/conf/cdc/PanagouK11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: Control of underactuated systems with viability constraints.
venue: CDC/ECC
---
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@@ -1,30 +1,32 @@
---
abstract: This paper presents a solution to the robust practical stabilization of
a unicycle-like marine vehicle, under non-vanishing current-induced perturbations.
A hysteresis-based switching control strategy is proposed, rendering the system
globally practically stable to a set G around the origin. The control scheme consists
of three control laws; the first one is active out of G and drives the system trajectories
into G, based on a dipole-like vector field. The other two control laws are active
in G and alternately regulate the position and the orientation of the vehicle. The
system is shown to be robust, in the sense that the vehicle enters and remains into
G even if only a maximum bound of the perturbation is known. The efficacy of the
solution is demonstrated through simulation results.
authors:
- dimitrapanagou
- Kostas J. Kyriakopoulos
bib: "@inproceedings{DBLP:conf/icra/PanagouK11,\n author = {Dimitra Panagou\
\ and\n Kostas J. Kyriakopoulos},\n title = {Switching\
\ control approach for the robust practical stabilization\n of\
\ a unicycle-like marine vehicle under non-vanishing perturbations},\n booktitle\
\ = {{IEEE} International Conference on Robotics and Automation, {ICRA}\n \
\ 2011, Shanghai, China, 9-13 May 2011},\n pages = {1525--1530},\n\
\ publisher = {{IEEE}},\n year = {2011},\n url = {https://doi.org/10.1109/ICRA.2011.5979747},\n\
\ doi = {10.1109/ICRA.2011.5979747},\n timestamp = {Mon, 06 Nov 2017\
\ 12:15:03 +0100},\n biburl = {https://dblp.org/rec/conf/icra/PanagouK11.bib},\n\
\ bibsource = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2011-01-01
key: conf/icra/PanagouK11
layout: papers
title: "Switching control approach for the robust practical stabilization of a unicycle-like marine vehicle under non-vanishing perturbations."
date: 2011-01-01
venue: "ICRA"
authors:
- dimitrapanagou
- Kostas J. Kyriakopoulos
link: https://doi.org/10.1109/ICRA.2011.5979747
bib: |-
@inproceedings{DBLP:conf/icra/PanagouK11,
author = {Dimitra Panagou and
Kostas J. Kyriakopoulos},
title = {Switching control approach for the robust practical stabilization
of a unicycle-like marine vehicle under non-vanishing perturbations},
booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
2011, Shanghai, China, 9-13 May 2011},
pages = {1525--1530},
publisher = {{IEEE}},
year = {2011},
url = {https://doi.org/10.1109/ICRA.2011.5979747},
doi = {10.1109/ICRA.2011.5979747},
timestamp = {Mon, 06 Nov 2017 12:15:03 +0100},
biburl = {https://dblp.org/rec/conf/icra/PanagouK11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: Switching control approach for the robust practical stabilization of a unicycle-like
marine vehicle under non-vanishing perturbations.
venue: ICRA
---
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@@ -1,30 +1,33 @@
---
abstract: This paper addresses the problem of controlling a leader-follower (L - F)
formation of two unicycle mobile robots moving under visibility constraints in a
known obstacle environment. Visibility constraints are realized as inequality state
constraints that determine a visibility set K. Maintaining visibility is translated
into controlling the robots so that system trajectories starting in K always remain
in K. We provide the conditions under which visibility is maintained, as well as
a feedback control scheme that forces F to converge and remain into a set of desired
configurations w.r.t. L while maintaining visibility. We also propose a cooperative
control scheme for the motion of the formation in a known obstacle environment,
so that both collision avoidance and maintaining visibility are ensured. The proposed
control schemes are decentralized, in the sense that there is no direct communication
between the robots. The efficacy of our algorithms is evaluated through simulations.
authors:
- dimitrapanagou
- Vijay Kumar
bib: "@inproceedings{DBLP:conf/icra/PanagouK12,\n author = {Dimitra Panagou\
\ and\n Vijay Kumar},\n title = {Maintaining visibility\
\ for leader-follower formations in obstacle\n environments},\n\
\ booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}\n\
\ 2012, 14-18 May, 2012, St. Paul, Minnesota, {USA}},\n pages\
\ = {1811--1816},\n publisher = {{IEEE}},\n year = {2012},\n\
\ url = {https://doi.org/10.1109/ICRA.2012.6224893},\n doi =\
\ {10.1109/ICRA.2012.6224893},\n timestamp = {Wed, 16 Oct 2019 14:14:51 +0200},\n\
\ biburl = {https://dblp.org/rec/conf/icra/PanagouK12.bib},\n bibsource\
\ = {dblp computer science bibliography, https://dblp.org}\n}"
date: 2012-01-01
key: conf/icra/PanagouK12
layout: papers
title: "Maintaining visibility for leader-follower formations in obstacle environments."
date: 2012-01-01
venue: "ICRA"
authors:
- dimitrapanagou
- Vijay Kumar
link: https://doi.org/10.1109/ICRA.2012.6224893
bib: |-
@inproceedings{DBLP:conf/icra/PanagouK12,
author = {Dimitra Panagou and
Vijay Kumar},
title = {Maintaining visibility for leader-follower formations in obstacle
environments},
booktitle = {{IEEE} International Conference on Robotics and Automation, {ICRA}
2012, 14-18 May, 2012, St. Paul, Minnesota, {USA}},
pages = {1811--1816},
publisher = {{IEEE}},
year = {2012},
url = {https://doi.org/10.1109/ICRA.2012.6224893},
doi = {10.1109/ICRA.2012.6224893},
timestamp = {Wed, 16 Oct 2019 14:14:51 +0200},
biburl = {https://dblp.org/rec/conf/icra/PanagouK12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
title: Maintaining visibility for leader-follower formations in obstacle environments.
venue: ICRA
---
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