Detectability subspaces and observer synthesis for two-dimensional systems

Authors:
Lorenzo Ntogramatzidis;Michael Cantoni
Affiliations:
Department of Mathematics and Statistics, Curtin University of Technology, Perth, Australia 6845;Department of Electrical and Electronic Engineering, The University of Melbourne, Parkville, Australia 3010
Venue:
Multidimensional Systems and Signal Processing
Year:
2012

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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.