Control refinement for discrete-time descriptor systems: a behavioural approach via simulation relations

F. Chen, S. Haesaert, A. Abate, S. Weiland

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Abstract

The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order. In this paper, we introduce a control refinement notion for these descriptor systems that enables analysis and control design over related reduced-order systems. Utilising the behavioural framework, we extend upon the standard hierarchical control refinement for ordinary systems and allow for algebraic couplings inherent to descriptor systems.

Original languageEnglish
Pages (from-to)15822-15827
Number of pages6
JournalIFAC-PapersOnLine
Volume50
Issue number1
DOIs
Publication statusPublished - 1 Jul 2017
Event20th World Congress of the International Federation of Automatic Control (IFAC 2017 World Congress) - Toulouse, France
Duration: 9 Jul 201714 Jul 2017
Conference number: 20
https://www.ifac2017.org/

Bibliographical note

Part of special issue:
20th IFAC World Congress

Keywords

  • behavioural theory
  • control refinement
  • Descriptor systems
  • simulation relations

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