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Interval Observers Design for Discrete-Time Linear Switched Systems

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Complex Systems: Spanning Control and Computational Cybernetics: Foundations

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 414))

Abstract

In this chapter, we detail different steps to design an interval observer for discrete-time switched linear systems affected by disturbances and measurement noises which are assumed unknown but, bounded with known bounds. The idea is based on the introduction of new matrices to handle the design difficulty of coordinate transformation often used in interval observers synthesis and to provide more design degrees of freedom. The stability conditions of estimation errors are discussed using a common quadratic Lyapunov function and multiple quadratic Lyapunov functions under an average dwell time switching signals. To discuss the effectiveness of the presented methods, a numerical example is given.

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Author information

Authors and Affiliations

  1. Research Laboratory of Automatic Signal and Image Processing, National School of Engineers of Monastir, University of Monastir, 5019, Monastir, Tunisia

    Ghassen Marouani & Hassani Messaoud

  2. Conservatoire National des Arts et Métiers (CNAM), Cedric-Laetitia, 292 Rue St-Martin, 75141, Paris Cedex 03, France

    Thach Ngoc Dinh & Tarek Raïssi

  3. School of Astronautics, Harbin Institute of Technology, Room 602, Main Building, No. 92, West Da-Zhi Street, Harbin, Heilongjiang Province, People’s Republic of China

    Zhenhua Wang

Authors
  1. Ghassen Marouani
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  2. Thach Ngoc Dinh
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  3. Zhenhua Wang
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  4. Tarek Raïssi
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  5. Hassani Messaoud
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Corresponding author

Correspondence to Tarek Raïssi .

Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA, Australia

    Peng Shi

  2. Control and Informatics Division, JP Hydro-System “Streževo”, Bitola, North Macedonia

    Jovan Stefanovski

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Marouani, G., Dinh, T.N., Wang, Z., Raïssi, T., Messaoud, H. (2022). Interval Observers Design for Discrete-Time Linear Switched Systems. In: Shi, P., Stefanovski, J., Kacprzyk, J. (eds) Complex Systems: Spanning Control and Computational Cybernetics: Foundations. Studies in Systems, Decision and Control, vol 414. Springer, Cham. https://doi.org/10.1007/978-3-030-99776-2_14

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