Published In
IEEE Transactions on Control of Network Systems
Document Type
Post-Print
Publication Date
1-24-2021
Subjects
R (Computer program language), Automated vehicles -- Stability -- Mathematical models, Control engineering
Abstract
In this paper, we give necessary conditions for stability of coupled autonomous vehicles in R. We focus on linear arrays with decentralized vehicles, where each vehicle interacts with only a few of its neighbors. We obtain explicit expressions for necessary conditions for stability in the cases that a system consists of a periodic arrangement of two or three different types of vehicles, i.e. configurations as follows: 2-1-2-1 or 3-2-1-3-2-1. Previous literature indicated that the (necessary) condition for stability in the case of a single vehicle type (1-1-1) held that the first moment of certain coefficients of the interactions between vehicles has to be zero. Here, we show that that does not generalize. Instead, the (necessary) condition in the cases considered is that the first moment plus a nonlinear correction term must be zero.
Rights
© Copyright 2021 IEEE.
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Locate the Document
DOI
10.1109/TCNS.2021.3052308
Persistent Identifier
https://archives.pdx.edu/ds/psu/35156
Publisher
IEEE
Citation Details
Published as: Baldivieso, P. E., & Veerman, J. J. P. (2021). Stability conditions for coupled autonomous vehicles formations. IEEE Transactions on Control of Network Systems, 8(1), 513-522.