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Detectability subspaces and observer synthesis for two-dimensional systems

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Abstract

The notions of input-containing and detectability subspaces are developed within the context of observer synthesis for two-dimensional (2-D) Fornasini-Marchesini models. Specifically, the paper considers observers which asymptotically estimate the local state, in the sense that the error tends to zero as the reconstructed local state evolves away from possibly mismatched boundary values, modulo a detectability subspace. Ultimately, the synthesis of such observers in the absence of explicit input information is addressed.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, 6845, Australia

    Lorenzo Ntogramatzidis

  2. Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, VIC, 3010, Australia

    Michael Cantoni

Authors
  1. Lorenzo Ntogramatzidis
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  2. Michael Cantoni
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Correspondence to Lorenzo Ntogramatzidis.

Additional information

This work was partially supported by the Australian Research Council (Discovery Grant DP0986577).

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Ntogramatzidis, L., Cantoni, M. Detectability subspaces and observer synthesis for two-dimensional systems. Multidim Syst Sign Process 23, 79–96 (2012). https://doi.org/10.1007/s11045-010-0118-z

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  • DOI: https://doi.org/10.1007/s11045-010-0118-z

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