arXiv Open Access 2023

Entropic Model Predictive Optimal Transport for Underactuated Linear Systems

Kaito Ito Kenji Kashima
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Abstrak

This letter investigates dynamical optimal transport of underactuated linear systems over an infinite time horizon. In our previous work, we proposed to integrate model predictive control and the celebrated Sinkhorn algorithm to perform efficient dynamical transport of agents. However, the proposed method requires the invertibility of input matrices, which severely limits its applicability. To resolve this issue, we extend the method to (possibly underactuated) controllable linear systems. In addition, we ensure the convergence properties of the method for general controllable linear systems. The effectiveness of the proposed method is demonstrated by a numerical example.

Topik & Kata Kunci

Penulis (2)

K

Kaito Ito

K

Kenji Kashima

Format Sitasi

Ito, K., Kashima, K. (2023). Entropic Model Predictive Optimal Transport for Underactuated Linear Systems. https://arxiv.org/abs/2308.07599

Akses Cepat

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Informasi Jurnal
Tahun Terbit
2023
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓