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Discrete Roesser state models from 2D frequency data

Authors
  • Rapisarda, P.1
  • 1 University of Southampton, Vision, Learning and Control Group, School of Electronics and Computer Science, Southampton, SO17 1BJ, UK , Southampton (United Kingdom)
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Springer US
Publication Date
Mar 31, 2018
Volume
30
Issue
2
Pages
591–610
Identifiers
DOI: 10.1007/s11045-018-0572-6
Source
Springer Nature
Keywords
License
Green

Abstract

We identify a general, i.e. not necessarily denominator-separable Roesser model from 2D discrete vector-geometric trajectories generated by a controllable, quarter-plane causal system. Our procedure consists of two steps: the first one is the computation of state trajectories from the factorization of constant matrices directly constructed from input-output data. The second step is the computation of the state, output, and input matrices of a Roesser model as solutions of a system of linear equations involving the given input-output data and the computed state trajectories.

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