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Bearing-based localization for leader-follower formation control.

Qing Han1,2, Shan Ren1,2, Hao Lang2

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Summary
This summary is machine-generated.

This study demonstrates that a leader robot system is observable when it tracks landmarks, enabling multi-robot formations using bearing-only data. This ensures rapid formation control and maintenance in robotic systems.

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Area of Science:

  • Robotics
  • Control Systems
  • Computer Vision

Background:

  • Leader-follower robot systems are crucial for coordinated tasks.
  • Formation control relies on accurate state estimation and communication.
  • Observability is a fundamental requirement for state estimation in dynamic systems.

Purpose of the Study:

  • To investigate the nonlinear observability of a leader robot system.
  • To establish conditions for complete system observability.
  • To develop and validate a leader-follower formation control strategy using bearing-only information.

Main Methods:

  • Analysis of nonlinear observability for a leader robot observing landmarks.
  • Mathematical derivation to prove complete observability with two distinct landmarks.
  • Development of a formation control algorithm utilizing bearing-only measurements from follower robots.

Main Results:

  • The leader robot system's nonlinear observability was analyzed.
  • Complete observability was proven when the leader robot observes two different landmarks.
  • The proposed formation control strategy effectively utilizes bearing-only information for rapid formation establishment and maintenance.

Conclusions:

  • The leader-follower robot system exhibits complete observability under specific landmark observation conditions.
  • Bearing-only information from follower robots is sufficient for rapid and stable formation control.
  • Simulations validated the effectiveness of the proposed observability analysis and formation control method.