Analysis Of Cooperative Systems With Time Delay: Application To Transportation Systems

Abstract

In this paper, we study the stability, instability and (sustained) oscillatory trajectories of cooperative systems where in addition to the existence of communication and input delays, the agents may also have access to non-delayed local feedback information to themselves. Specifically, we analyze the relation between the portion of non-delayed local feedback information and the size of delay together with their influence to overall system's trajectories. The analysis are based on Lyapunov-Krasovskii functional approach and the roots of characteristic equation of time delay systems. The analytical results are illustrated via an example of the charging scheduling problem for electric vehicles on a highway where a consensusbased distributed scheduling algorithm is designed so that the charging resources along the highway are uniformly utilized and thus the waiting time for EVs to get charged is minimized. It is demonstrated that even though consensus is achieved, the trajectories may have (sustained) oscillations for a large delay due to a long travel distance between the service stations. Finally, a simple strategy to eliminate such undesired oscillation is presented.

Publication Date

10-10-2016

Publication Title

2016 IEEE Conference on Control Applications, CCA 2016

Number of Pages

392-397

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/CCA.2016.7587863

Socpus ID

85052978655 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85052978655

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