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Functional Observers Design for Linear Systems with Non-commensurate Time Varying Delays

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Abstract

This paper deals with the problem of functional observer design for systems with non-commensurate time varying delays. The main procedure of three types of functional observers are presented in this article, more precisely, observers with delays dependent, observers without internal delays and delay-free functional observers. A necessary condition for the existence of these observers is given as rank equality. The design conditions for functional observers are presented in terms of linear matrix inequalities (LMIs). The solution of these LMIs is used to determine the observers parameters. Finally, some numerical examples are given at the end of the paper to show the feasibility of the proposed approach.

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Authors and Affiliations

  1. Engineering, Systems and Applications Laboratory, National School of Applied Sciences, BP 72, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco

    Ghali Naami & Mohamed Ouahi

  2. Department of Physics, Faculty of Sciences, University Sidi Mohammed Ben Abdellah, B.P. 1796, Fs-Atlas, 30000, Fez, Morocco

    El Houssaine Tissir & Ahmed Ech-charqy

  3. Modeling Information, and Systems Laboratory, University of Picardie Jules Verne, 33 Rue St Leu, 80000, Amiens, France

    Abdelhamid Rabhi

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  1. Ghali Naami
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  2. Mohamed Ouahi
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  3. El Houssaine Tissir
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Naami, G., Ouahi, M., Tissir, E.H. et al. Functional Observers Design for Linear Systems with Non-commensurate Time Varying Delays. Circuits Syst Signal Process 40, 598–625 (2021). https://doi.org/10.1007/s00034-020-01502-x

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