Bearing-only formation control under persistence of excitation

@article{Tang2020BearingonlyFC,
  title={Bearing-only formation control under persistence of excitation},
  author={Zhiqi Tang and Rita Cunha and T. Hamel and Carlos Silvestre},
  journal={2020 59th IEEE Conference on Decision and Control (CDC)},
  year={2020},
  pages={4011-4016}
}
This paper addresses the problem of bearing-only formation control in d (d ≥ 2)-dimensional space by exploring persistence of excitation (PE) of the desired bearing reference. By defining a desired formation that is bearing PE, distributed bearing-only control laws are proposed, which guarantee exponential stabilization of the desired formation only up to a translation vector. The key outcome of this approach relies in exploiting the bearing PE to significantly relax the conditions imposed on… 
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Decentralized sliding-mode control laws for the bearing-based formation tracking problem
  • Dung Van Vu, M. Trinh
  • Engineering, Mathematics
    2021 International Conference on Control, Automation and Information Sciences (ICCAIS)
  • 2021
TLDR
Under the assumptions that the desired formation is infinitesimally bearing rigid and the local reference frames of followers are aligned with each other, two control laws are presented based on sliding mode control approach.
Relaxed bearing rigidity and bearing formation control under persistence of excitation
TLDR
The classical bearing rigidity condition on the graph topology, required for achieving the stabilization of a formation up to a scaling factor, is relaxed in a natural manner by exploring PE conditions imposed solely on a specific set of desired bearing vectors.

References

SHOWING 1-10 OF 16 REFERENCES
A Very Relaxed Control Law for Bearing-Only Triangular Formation Control
Abstract The problem of bearing-only triangular formation control is considered. Each agent measures two inter-agent bearings in a local coordinate system and is tasked with establishing, and…
Bearing-Only Formation Tracking Control of Multiagent Systems
TLDR
New bearing-only formation control laws are proposed to track moving target formations and handle a variety of agent models including single-Integrator, double-integrator, and unicycle models, an important step towards the application of bearing- only formation control in practical tasks.
Bearing-Based Formation Control of a Group of Agents With Leader-First Follower Structure
TLDR
This paper proposes and analyzes bearing-only control laws that almost globally stabilize LFF formations to a desired formation and proposes strategies to rotate and rescale the target formation.
Bearing Rigidity and Almost Global Bearing-Only Formation Stabilization
TLDR
It is shown that a framework in an arbitrary dimension can be uniquely determined up to a translation and a scaling factor by the bearings if and only if the framework is infinitesimally bearing rigid.
Distributed control of triangular formations with angle-only constraints
Control of directed formations with a leader-first follower structure
TLDR
This paper focuses on leader- first-follower formations that may contain cycles and shows how to establish equations of motion, and how to construct a decentralized control law that will recover shape in the presence of small deviations from the nominal.
Observers for Position Estimation Using Bearing and Biased Velocity Information
TLDR
This chapter provides a comprehensive observability analysis, and can show uniform observability even for a single direction measure and with unknown velocity bias as long as the vehicle trajectory is persistently exciting.
Coordination Variables and Consensus Building in Multiple Vehicle Systems
TLDR
This paper offers the following, intuitively appealing, fundamental axiom: the usefulness of cooperative control technologies will be greatly enhanced if, as a community, the authors develop techniques that apply more generally to nonformation cooperative control problems.
Sensor and network topologies of formations with direction, bearing, and angle information between agents
Sensor and network topologies of formations of autonomous agents are considered. The aim of the paper is to suggest an approach for such topologies for formations with direction, bearing and angle…
Distributed multi‐vehicle coordinated control via local information exchange
TLDR
This paper introduces second-order consensus protocols that take into account motions of the information states and their derivatives, extending first-order protocols from the literature and derives necessary and sufficient conditions under which consensus can be reached in the context of unidirectional information exchange topologies.
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