Dissipativity-Based Decentralized Co-Design of Distributed Controllers and Communication Topologies for Vehicular Platoons

Fuente: arXiv
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Main Authors: Welikala, Shirantha, Song, Zihao, Antsaklis, Panos J., Lin, Hai
Format: Preprint
Published: 2023
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author Welikala, Shirantha
Song, Zihao
Antsaklis, Panos J.
Lin, Hai
author_facet Welikala, Shirantha
Song, Zihao
Antsaklis, Panos J.
Lin, Hai
contents Vehicular platoons provide an appealing option for future transportation systems. Most of the existing work on platoons separated the design of the controller and its communication topologies. However, it is beneficial to design both the platooning controller and the communication topology simultaneously, i.e., controller and topology co-design, especially in the cases of platoon splitting and merging. We are, therefore, motivated to propose a co-design framework for vehicular platoons that maintains both the compositionality of the controller and the string stability of the platoon, which enables the merging and splitting of the vehicles in a platoon. To this end, we first formulate the co-design problem as a centralized linear matrix inequality (LMI) problem and then decompose it using Sylvester's criterion to obtain a set of smaller decentralized LMI problems that can be solved sequentially at individual vehicles in the platoon. Moreover, in the formulated decentralized LMI problems, we encode a specifically derived local LMI to enforce the $L_2$ stability of the closed-loop platooning system, further implying the $L_2$ weak string stability of the vehicular platoon. Finally, to validate the proposed co-design method and its features in terms of merging/splitting, we provide an extensive collection of simulation results generated from a specifically developed simulation framework. Available in GitHub: HTTP://github.com/NDzsong2/Longitudinal-Vehicular-Platoon-Simulator.git that we have made publicly available.
format Preprint
id arxiv_https___arxiv_org_abs_2312_06472
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dissipativity-Based Decentralized Co-Design of Distributed Controllers and Communication Topologies for Vehicular Platoons
Welikala, Shirantha
Song, Zihao
Antsaklis, Panos J.
Lin, Hai
Systems and Control
Vehicular platoons provide an appealing option for future transportation systems. Most of the existing work on platoons separated the design of the controller and its communication topologies. However, it is beneficial to design both the platooning controller and the communication topology simultaneously, i.e., controller and topology co-design, especially in the cases of platoon splitting and merging. We are, therefore, motivated to propose a co-design framework for vehicular platoons that maintains both the compositionality of the controller and the string stability of the platoon, which enables the merging and splitting of the vehicles in a platoon. To this end, we first formulate the co-design problem as a centralized linear matrix inequality (LMI) problem and then decompose it using Sylvester's criterion to obtain a set of smaller decentralized LMI problems that can be solved sequentially at individual vehicles in the platoon. Moreover, in the formulated decentralized LMI problems, we encode a specifically derived local LMI to enforce the $L_2$ stability of the closed-loop platooning system, further implying the $L_2$ weak string stability of the vehicular platoon. Finally, to validate the proposed co-design method and its features in terms of merging/splitting, we provide an extensive collection of simulation results generated from a specifically developed simulation framework. Available in GitHub: HTTP://github.com/NDzsong2/Longitudinal-Vehicular-Platoon-Simulator.git that we have made publicly available.
title Dissipativity-Based Decentralized Co-Design of Distributed Controllers and Communication Topologies for Vehicular Platoons
topic Systems and Control
url https://arxiv.org/abs/2312.06472