110,844 research outputs found
Second-Order Agents on Ring Digraphs
The paper addresses the problem of consensus seeking among second-order
linear agents interconnected in a specific ring topology. Unlike the existing
results in the field dealing with one-directional digraphs arising in various
cyclic pursuit algorithms or two-directional graphs, we focus on the case where
some arcs in a two-directional ring graph are dropped in a regular fashion. The
derived condition for achieving consensus turns out to be independent of the
number of agents in a network.Comment: 6 pages, 10 figure
Pose consensus based on dual quaternion algebra with application to decentralized formation control of mobile manipulators
This paper presents a solution based on dual quaternion algebra to the
general problem of pose (i.e., position and orientation) consensus for systems
composed of multiple rigid-bodies. The dual quaternion algebra is used to model
the agents' poses and also in the distributed control laws, making the proposed
technique easily applicable to time-varying formation control of general
robotic systems. The proposed pose consensus protocol has guaranteed
convergence when the interaction among the agents is represented by directed
graphs with directed spanning trees, which is a more general result when
compared to the literature on formation control. In order to illustrate the
proposed pose consensus protocol and its extension to the problem of formation
control, we present a numerical simulation with a large number of free-flying
agents and also an application of cooperative manipulation by using real mobile
manipulators
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