IBUKI TATSUYA
   Department   Undergraduate School  , School of Science and Technology
   Position   Associate Professor
Language English
Publication Date 2020/10
Type Academic Journal
Peer Review Peer reviewed
Title Distributed Collision-Free Motion Coordination on a Sphere: A Conic Control Barrier Function Approach (The contents of this paper were also selected by CDC 2020 Program Committee for presentation at the conference)
Contribution Type Co-authored (first author)
Journal IEEE Control Systems Letters
Journal TypeAnother Country
Publisher The Institute of Electrical and Electronics Engineers (IEEE)
Volume, Issue, Page 4(4),pp.976-981
Total page number 6
Authorship Lead author,Corresponding author
International coauthorship International coauthorship
Author and coauthor Tatsuya Ibuki, Sean Wilson, Aaron D. Ames, Magnus Egerstedt
Details This paper studies a distributed collision avoidance control problem for a group of rigid bodies on a sphere. A rigid body network, consisting of multiple rigid bodies constrained to a spherical surface and an interconnection topology, is first formulated. In this formulation, it is shown that motion coordination on a sphere is equivalent to attitude coordination on the 3-dimensional Special Orthogonal group. Then, an angle-based control barrier function that can handle a geodesic distance constraint on a spherical surface is presented. The proposed control barrier function is then extended to a relative motion case and applied to a collision avoidance problem for a rigid body network operating on a sphere. Each rigid body chooses its control input by solving a distributed optimization problem to achieve a nominal distributed motion coordination strategy while satisfying constraints for collision avoidance.