Scalable Stability Properties of Networks of Linear Systems

Offringa, David (2022) Scalable Stability Properties of Networks of Linear Systems. Bachelor's Thesis, Applied Mathematics.

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Abstract

In vehicle platooning, string stability guarantees that the effect of a sudden disturbance remains bounded as it propagates through a platoon of arbitrary length. By modelling such a platoon as a network of scalar linear systems, this thesis aims to find necessary and sufficient conditions for string stability. In particular, various networks adhering to a predecessor following structure are considered. To deal with external disturbances affecting the network, the notion of disturbance string stability is used instead. By recognizing the structure of a Taylor series and geometric series in the system solutions and exploiting them appropriately, it is found that the conditions for string stability and disturbance string stability are identical. To verify the results, numerical simulations are shown.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Besselink, B. and Sterk, A.E.
Degree programme:	Applied Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	15 Jul 2022 12:45
Last Modified:	15 Jul 2022 12:45
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/27874

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