From restricted isometry property to observability under sparse measurement

Khaled, Yassine, Barbot, Jean Pierre, Busawon, Krishna and Benmerzouk, Djamila (2013) From restricted isometry property to observability under sparse measurement. In: Systems and Control (ICSC), 2013 3rd International Conference on. IEEE, Piscataway, NJ, pp. 123-128. ISBN 978-1479902736

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In this paper, we show that it is possible to detect the active mode and reconstruct its associated state for a class of hybrid linear systems under sparse measurements. The solution we bring to this problem is firstly to analyze the observability of systems under random sampling and secondly to synthesize an impulsive observer. Here, the first approach is based on the concept of compressive sampling which is well-known in signal processing theory. A synthesis of impulsive observers will be presented for some special cases. These observers allows to detect the active mode and rebuild the state under sparse measurement. Simulation results are provided in order to highlight the well-foundedness of the proposed approach.

Item Type: Book Section
Uncontrolled Keywords: compressive sensing, hybrid system, impulsive observer
Subjects: H100 General Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Becky Skoyles
Date Deposited: 15 Jan 2015 15:08
Last Modified: 12 Oct 2019 19:07

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