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Relative Information Based Distributed Control for Intrinsic Formations of Reduced Attitudes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2017 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This dissertation concerns the formation problems for multiple reduced attitudes, which are extensively utilized in many pointing applications and under-actuated scenarios for attitude maneuvers. In contrast to most existing methodologies on formation control, the proposed method does not need to contain any formation errors in the protocol. Instead, the constructed formation is attributed to geometric properties of the configuration space and the designed connection topology. We refer to this type of formation control as intrinsic formation control. Besides, the control protocols proposed in this work are designed directly in space S2, avoiding to use any attitude parameterisations. At last but not least, along the studies, some elementary tools for reduced attitudes control are developed.In paper A, a continuous control law is provided for a reduced attitude systems, by which a regular tetrahedron formation can achieve asymptotic stability under a quite large family of gain functions in the control. Then, with a further restriction on the control gain, almost global stability of the tetrahedron formation is also obtained. In this work, we introduce a novel coordinates transformation that represents the relative reduced attitudes be-tween the agents. The proposed method is an intrinsic formation control that does not need to involve any information of the desired formation before-hand. Another virtue of the method proposed is that only relative attitude measurement is required.Paper B further concerns the formation control of all regular polyhedral configurations (also called Platonic solids) for reduced attitudes. According to the symmetries possessed by regular polyhedra, a unified framework is proposed for their formations. Via using the coordinates transformation previously proposed, it is shown that the stability of the desired formations can be provided by stabilizing a constrained nonlinear system. Then, a methodology to investigate the stability of this type of constrained systems is also presented. Paper C considers the problem of tracking and encircling a moving target by agents in 3-dimensional space. By this work, we show that similar design techniques proposed for reduced attitudes formations can also be applied to the formation control for point mass systems. Therein, a group of agents are driven to some desired formation on a spherical surface and simultaneously keep the center of this spherical formation coinciding with the target to be tracked. By properly designing communication topology, the agents constitute a cyclic formation along the equator of an encircling sphere.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2017. , p. 23
Series
TRITA-MAT-A ; 2017:01
Keyword [en]
Attitude control, distributed control, formation control, nonlinear systems
National Category
Control Engineering
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-202355ISBN: 978-91-7729-300-2 (print)OAI: oai:DiVA.org:kth-202355DiVA, id: diva2:1076006
Presentation
2017-03-17, Sal 3721, Lindstedtsvägen 25, KTH-Campus, Stockholm, 10:00 (English)
Opponent
Supervisors
Note

QC 20170302

Available from: 2017-03-02 Created: 2017-02-21 Last updated: 2018-02-14Bibliographically approved
List of papers
1. Intrinsic Tetrahedron Formation of Reduced Attitude
Open this publication in new window or tab >>Intrinsic Tetrahedron Formation of Reduced Attitude
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(English)Manuscript (preprint) (Other academic)
National Category
Control Engineering
Research subject
Applied and Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-202349 (URN)
Note

QC 20170303

Available from: 2017-02-21 Created: 2017-02-21 Last updated: 2017-03-03Bibliographically approved
2. Intrinsic Formation of Regular Polyhedra for Reduced Attitude
Open this publication in new window or tab >>Intrinsic Formation of Regular Polyhedra for Reduced Attitude
(English)Manuscript (preprint) (Other academic)
National Category
Control Engineering
Identifiers
urn:nbn:se:kth:diva-202350 (URN)
Note

QC 20170303

Available from: 2017-02-21 Created: 2017-02-21 Last updated: 2017-03-03Bibliographically approved
3. Spherical cyclic formation control
Open this publication in new window or tab >>Spherical cyclic formation control
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2016 (English)In: Proceedings of the 35th Chinese Control Conference 2016, IEEE Computer Society, 2016, Vol. 2016, p. 8207-8212, article id 7554663Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we study the problem of tracking and encircling a moving target by agents in 3D. Specifically, a group of agents are driven to some desired formation on a spherical surface and simultaneously keep the center of this spherical formation coinciding with the target to be tracked. In our control design, the desired formation is not used as a reference signal for tracking. Rather by designing communication topology for the agents we can achieve the desired formation using relative positions only. We can also place the desired cyclic formation on the equator if the north pole is specified.

Place, publisher, year, edition, pages
IEEE Computer Society, 2016
Series
Chinese Control Conference, ISSN 2161-2927
Keyword
encircling control, formation control, Multi-agent systems, nonlinear feedback control
National Category
Mathematics
Identifiers
urn:nbn:se:kth:diva-194928 (URN)10.1109/ChiCC.2016.7554663 (DOI)000400282204081 ()2-s2.0-84987899171 (Scopus ID)9789881563910 (ISBN)
Conference
35th Chinese Control Conference, CCC 2016, Chengdu, China, 27 July 2016 through 29 July 2016
Note

QC 20161129

Available from: 2016-11-29 Created: 2016-11-01 Last updated: 2017-06-12Bibliographically approved

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