Plant and controller reduction problems for closed-loop performance

Daniel Rivera, Manfred Morari

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Model reduction problems which consider preserving closed-loop performance (H2, H, and μ) in the presence of reduction error are developed. These are formulated as weighted multiplicative error problems (for plant reduction) and weighted additive error problems (for controller reduction), with the weight function incorporating explicitly such control information as the desired sensitivity operator bound, the setpoint/disturbance spectrum, and the plant uncertainties. These problems are efficiently solved using the frequency-weighted balanced realization technique. The benefits of these reduction problems are illustrated with examples taken from the control of a binary distillation column.

Original languageEnglish (US)
Pages (from-to)398-404
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume37
Issue number3
DOIs
StatePublished - Mar 1992

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Distillation columns

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Plant and controller reduction problems for closed-loop performance. / Rivera, Daniel; Morari, Manfred.

In: IEEE Transactions on Automatic Control, Vol. 37, No. 3, 03.1992, p. 398-404.

Research output: Contribution to journalArticle

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