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Leader-follower formation of vehicles with velocity constraints and local coordinate frames

Abstract

This paper studies leader-follower formation control of networked nonholonomic vehicles of unicycle type. Each vehicle is subject to the velocity constraints consisting of saturated angular velocity and bounded linear velocity with positive-minimum value. Each vehicle is allowed to use its local coordinate frame, and the network topology is described by a directed graph containing a spanning tree. Two dynamic control laws satisfying the velocity constraints are developed respectively, such that the leader-follower formation defined in local coordinate frames can be achieved in two cases. The proposed control laws only require each vehicle to use the information of its neighbors in the network via local measurements and communication. Finally, effectiveness is illustrated by simulation results of an example.

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Acknowledgements

This work was supported by Research Grants Council of the Hong Kong Special Administrative Region of China (Grant No. Project CityU/11213415).

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Correspondence to Lu Liu.

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Conflict of interest The authors declare that they have no conflict of interest.

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Yu, X., Liu, L. Leader-follower formation of vehicles with velocity constraints and local coordinate frames. Sci. China Inf. Sci. 60, 070206 (2017). https://doi.org/10.1007/s11432-016-9094-1

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Keywords

  • formation control
  • local coordinate frame
  • mobile robot
  • nonholonomic vehicle
  • velocity constraint