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IEICE TRANSACTIONS on Fundamentals

Optimal Control of Multi-Vehicle Systems with Temporal Logic Constraints

Koichi KOBAYASHI, Takuro NAGAMI, Kunihiko HIRAISHI

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Summary :

In this paper, optimal control of multi-vehicle systems is studied. In the case where collision avoidance between vehicles and obstacle avoidance are imposed, state discretization is effective as one of the simplified approaches. Furthermore, using state discretization, cooperative actions such as rendezvous can be easily specified by linear temporal logic (LTL) formulas. However, it is not necessary to discretize all states, and partial states (e.g., the position of vehicles) should be discretized. From this viewpoint, a new control method for multi-vehicle systems is proposed in this paper. First, the system in which partial states are discretized is formulated. Next, the optimal control problem with constraints described by LTL formulas is formulated, and its solution method is proposed. Finally, numerical simulations are presented. The proposed method provides us a useful method in control of multi-vehicle systems.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.2 pp.626-634
Publication Date
2015/02/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E98.A.626
Type of Manuscript
Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)
Category

Authors

Koichi KOBAYASHI
  Japan Advanced Institute of Science and Technology
Takuro NAGAMI
  Japan Advanced Institute of Science and Technology
Kunihiko HIRAISHI
  Japan Advanced Institute of Science and Technology

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