Descriptive vector, relative error matrix, and interaction analysis of multivariable plants

Nima Monshizadeh*, Alireza Fatehi, Ali Kahki-Sedigh

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
60 Downloads (Pure)

Abstract

In this paper, we introduce a vector which is able to describe the Niederlinski Index (NI), Relative Gain array (RGA), and the characteristic equation of the relative error matrix. The spectral radius and the structured singular value of the relative error matrix are investigated. The cases where the perfect result of the Relative Gain Array, equal to the identity matrix, coincides with the least interaction in a plant are pointed out. Then, the Jury Algorithm is adopted to get some insight into interaction analysis of multivariable plants. In particular, for interaction analysis of 3 x 3 plants, simple yet promising conditions in terms of the Relative Gain Array and the NiederLinski Index are derived. Several examples are also discussed to illustrate the main points. (C) 2010 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)108-114
Number of pages7
JournalAutomatica
Volume47
Issue number1
DOIs
Publication statusPublished - Jan-2011

Keywords

  • Decentralized control
  • Input-output pairing
  • Interaction measures
  • Relative Gain Array
  • Relative error matrix
  • Descriptive vector
  • CLOSED-LOOP PROPERTIES
  • STEADY-STATE GAIN
  • DECENTRALIZED CONTROL
  • SYSTEMS
  • SELECTION
  • DESIGN
  • ARRAY

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