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Thesis: A Distributed Observer for a Linear Time-Invariant System

Shali, B.M. (2017) Thesis: A Distributed Observer for a Linear Time-Invariant System. Bachelor's Thesis, Applied Mathematics.

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Abstract

This paper deals with the construction of a distributed observer. A distributed observer is a network of m observers, where each observer uses only local information to approximate the state of a given system. Sufficient conditions for the existence of a distributed observer are found. In particular, if the graph underlying the observer network is strongly connected, and the system is globally observable, it is shown that there exists a distributed observer of dimension mn+m+1, where n is the dimension of the observed system. Furthermore, it is shown that the convergence rates of the estimates can be preassigned at arbitrary values. The proofs provide ideas for a construction strategy, which is described in the end of the paper.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:30
Last Modified: 15 Feb 2018 08:30
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15606

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