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Set-Invariance Characterizations and Active Mode Detection for Descriptor Systems

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Advances in State Estimation, Diagnosis and Control of Complex Systems

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Abstract

This chapter presents a general framework of set-invariance characterizations for discrete-time descriptor systems, and its application to active mode detection  [1, 2] following the research line shown in Fig. 6.1. Among alternative techniques for the computation of invariant sets  [3,4,5,6,7,8,9], we use ultimate boundedness of trajectories to obtain set-invariance characterizations for the systems subject to unknown-but-bounded disturbances  [10].

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Notes

  1. 1.

    Numerical values are provided later in the numerical example chapter.

References

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Authors and Affiliations

  1. Department of Automatic Control, Institut de Robòtica i Informàtica Industrial, CSIC-UPC, Universitat Politècnica de Catalunya, Barcelona, Spain

    Ye Wang

  2. College of Automation, Harbin Engineering University, Harbin, P. R. China

    Ye Wang

  3. Department of Electrical and Electronic Engineering, The University of Melbourne, Melbourne, Australia

    Ye Wang

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  1. Ye Wang
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Correspondence to Ye Wang .

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Wang, Y. (2021). Set-Invariance Characterizations and Active Mode Detection for Descriptor Systems. In: Advances in State Estimation, Diagnosis and Control of Complex Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-52440-1_6

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  • DOI: https://doi.org/10.1007/978-3-030-52440-1_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-52439-5

  • Online ISBN: 978-3-030-52440-1

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